|
|
<?xml version="1.0" encoding="UTF-8" standalone="no"?> |
|
|
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" |
|
|
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> |
|
|
|
|
|
|
|
|
|
|
|
<svg width="415pt" height="749pt" |
|
|
viewBox="14.40 14.40 401.07 734.40" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> |
|
|
<g id="graph0" class="graph" transform="scale(0.53 0.53) rotate(0) translate(63 1341)"> |
|
|
<title>Conditional Rank-Rank Regression</title> |
|
|
<polygon fill="white" stroke="transparent" points="-36,36 -36,-1314 689,-1314 689,36 -36,36"/> |
|
|
|
|
|
<g id="node1" class="node"> |
|
|
<title>139861072891136</title> |
|
|
<g id="a_node1"><a xlink:title="Conditional Rank-Rank Regression"> |
|
|
<path fill="#add8e6" stroke="#000000" d="M150,-684C150,-684 12,-684 12,-684 6,-684 0,-678 0,-672 0,-672 0,-660 0,-660 0,-654 6,-648 12,-648 12,-648 150,-648 150,-648 156,-648 162,-654 162,-660 162,-660 162,-672 162,-672 162,-678 156,-684 150,-684"/> |
|
|
<text text-anchor="middle" x="81" y="-663.8" font-family="Arial" font-size="9.00">Conditional Rank-Rank Regression</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="node2" class="node"> |
|
|
<title>139861075298624</title> |
|
|
<g id="a_node2"><a xlink:title="Introduction"> |
|
|
<path fill="#b1adfa" stroke="#808080" d="M260,-1197C260,-1197 225,-1197 225,-1197 219,-1197 213,-1191 213,-1185 213,-1185 213,-1173 213,-1173 213,-1167 219,-1161 225,-1161 225,-1161 260,-1161 260,-1161 266,-1161 272,-1167 272,-1173 272,-1173 272,-1185 272,-1185 272,-1191 266,-1197 260,-1197"/> |
|
|
<text text-anchor="middle" x="242.5" y="-1177.1" font-family="Arial" font-size="8.00">Introduction</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge1" class="edge"> |
|
|
<title>139861072891136->139861075298624</title> |
|
|
<path fill="none" stroke="black" d="M87.46,-684.13C103.92,-738.64 154.54,-905.83 198,-1044 209.66,-1081.08 223.48,-1123.75 232.36,-1151.03"/> |
|
|
<polygon fill="black" stroke="black" points="229.08,-1152.26 235.51,-1160.68 235.74,-1150.09 229.08,-1152.26"/> |
|
|
</g> |
|
|
|
|
|
<g id="node6" class="node"> |
|
|
<title>139861075298560</title> |
|
|
<g id="a_node6"><a xlink:title="CRRR vs RRRX"> |
|
|
<path fill="#a7dec1" stroke="#808080" d="M268.5,-1035C268.5,-1035 216.5,-1035 216.5,-1035 210.5,-1035 204.5,-1029 204.5,-1023 204.5,-1023 204.5,-1011 204.5,-1011 204.5,-1005 210.5,-999 216.5,-999 216.5,-999 268.5,-999 268.5,-999 274.5,-999 280.5,-1005 280.5,-1011 280.5,-1011 280.5,-1023 280.5,-1023 280.5,-1029 274.5,-1035 268.5,-1035"/> |
|
|
<text text-anchor="middle" x="242.5" y="-1015.1" font-family="Arial" font-size="8.00">CRRR vs RRRX</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge5" class="edge"> |
|
|
<title>139861072891136->139861075298560</title> |
|
|
<path fill="none" stroke="black" d="M90.35,-684.38C116.62,-742.19 197.68,-920.58 228.99,-989.46"/> |
|
|
<polygon fill="black" stroke="black" points="225.91,-991.15 233.23,-998.8 232.28,-988.25 225.91,-991.15"/> |
|
|
</g> |
|
|
|
|
|
<g id="node10" class="node"> |
|
|
<title>139861073182528</title> |
|
|
<g id="a_node10"><a xlink:title="Estimation"> |
|
|
<path fill="#eefcac" stroke="#808080" d="M257.5,-873C257.5,-873 227.5,-873 227.5,-873 221.5,-873 215.5,-867 215.5,-861 215.5,-861 215.5,-849 215.5,-849 215.5,-843 221.5,-837 227.5,-837 227.5,-837 257.5,-837 257.5,-837 263.5,-837 269.5,-843 269.5,-849 269.5,-849 269.5,-861 269.5,-861 269.5,-867 263.5,-873 257.5,-873"/> |
|
|
<text text-anchor="middle" x="242.5" y="-853.1" font-family="Arial" font-size="8.00">Estimation</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge9" class="edge"> |
|
|
<title>139861072891136->139861073182528</title> |
|
|
<path fill="none" stroke="black" d="M97.29,-684.12C125.76,-717.85 186.94,-790.34 219.71,-829.18"/> |
|
|
<polygon fill="black" stroke="black" points="217.13,-831.55 226.25,-836.93 222.48,-827.03 217.13,-831.55"/> |
|
|
</g> |
|
|
|
|
|
<g id="node14" class="node"> |
|
|
<title>139861073182464</title> |
|
|
<g id="a_node14"><a xlink:title="Asymptotic Theory"> |
|
|
<path fill="#99c5dc" stroke="#808080" d="M272,-711C272,-711 213,-711 213,-711 207,-711 201,-705 201,-699 201,-699 201,-687 201,-687 201,-681 207,-675 213,-675 213,-675 272,-675 272,-675 278,-675 284,-681 284,-687 284,-687 284,-699 284,-699 284,-705 278,-711 272,-711"/> |
|
|
<text text-anchor="middle" x="242.5" y="-691.1" font-family="Arial" font-size="8.00">Asymptotic Theory</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge13" class="edge"> |
|
|
<title>139861072891136->139861073182464</title> |
|
|
<path fill="none" stroke="black" d="M162.22,-679.58C171.91,-681.22 181.6,-682.86 190.7,-684.4"/> |
|
|
<polygon fill="black" stroke="black" points="190.26,-687.88 200.7,-686.09 191.42,-680.97 190.26,-687.88"/> |
|
|
</g> |
|
|
|
|
|
<g id="node18" class="node"> |
|
|
<title>139861091877696</title> |
|
|
<g id="a_node18"><a xlink:title="Inference"> |
|
|
<path fill="#8afeb2" stroke="#808080" d="M257.5,-603C257.5,-603 227.5,-603 227.5,-603 221.5,-603 215.5,-597 215.5,-591 215.5,-591 215.5,-579 215.5,-579 215.5,-573 221.5,-567 227.5,-567 227.5,-567 257.5,-567 257.5,-567 263.5,-567 269.5,-573 269.5,-579 269.5,-579 269.5,-591 269.5,-591 269.5,-597 263.5,-603 257.5,-603"/> |
|
|
<text text-anchor="middle" x="242.5" y="-583.1" font-family="Arial" font-size="8.00">Inference</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge17" class="edge"> |
|
|
<title>139861072891136->139861091877696</title> |
|
|
<path fill="none" stroke="black" d="M117.79,-647.82C144.14,-634.45 179.78,-616.34 206.04,-603.01"/> |
|
|
<polygon fill="black" stroke="black" points="207.92,-605.98 215.26,-598.33 204.75,-599.74 207.92,-605.98"/> |
|
|
</g> |
|
|
|
|
|
<g id="node22" class="node"> |
|
|
<title>139861074979904</title> |
|
|
<g id="a_node22"><a xlink:title="Empirical Application"> |
|
|
<path fill="#ffb3eb" stroke="#808080" d="M275,-441C275,-441 210,-441 210,-441 204,-441 198,-435 198,-429 198,-429 198,-417 198,-417 198,-411 204,-405 210,-405 210,-405 275,-405 275,-405 281,-405 287,-411 287,-417 287,-417 287,-429 287,-429 287,-435 281,-441 275,-441"/> |
|
|
<text text-anchor="middle" x="242.5" y="-421.1" font-family="Arial" font-size="8.00">Empirical Application</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge21" class="edge"> |
|
|
<title>139861072891136->139861074979904</title> |
|
|
<path fill="none" stroke="black" d="M93.99,-647.74C121.88,-605.24 191.25,-499.56 223.93,-449.77"/> |
|
|
<polygon fill="black" stroke="black" points="227.03,-451.43 229.59,-441.14 221.18,-447.58 227.03,-451.43"/> |
|
|
</g> |
|
|
|
|
|
<g id="node26" class="node"> |
|
|
<title>139861072903552</title> |
|
|
<g id="a_node26"><a xlink:title="Simulation Study"> |
|
|
<path fill="#fd94be" stroke="#808080" d="M268.5,-279C268.5,-279 216.5,-279 216.5,-279 210.5,-279 204.5,-273 204.5,-267 204.5,-267 204.5,-255 204.5,-255 204.5,-249 210.5,-243 216.5,-243 216.5,-243 268.5,-243 268.5,-243 274.5,-243 280.5,-249 280.5,-255 280.5,-255 280.5,-267 280.5,-267 280.5,-273 274.5,-279 268.5,-279"/> |
|
|
<text text-anchor="middle" x="242.5" y="-259.1" font-family="Arial" font-size="8.00">Simulation Study</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge25" class="edge"> |
|
|
<title>139861072891136->139861072903552</title> |
|
|
<path fill="none" stroke="black" d="M89.16,-647.81C114.51,-583.44 200.09,-366.14 230.59,-288.7"/> |
|
|
<polygon fill="black" stroke="black" points="233.95,-289.73 234.36,-279.14 227.44,-287.16 233.95,-289.73"/> |
|
|
</g> |
|
|
|
|
|
<g id="node30" class="node"> |
|
|
<title>139861082035200</title> |
|
|
<g id="a_node30"><a xlink:title="Conclusion"> |
|
|
<path fill="#c5a6b2" stroke="#808080" d="M258.5,-117C258.5,-117 226.5,-117 226.5,-117 220.5,-117 214.5,-111 214.5,-105 214.5,-105 214.5,-93 214.5,-93 214.5,-87 220.5,-81 226.5,-81 226.5,-81 258.5,-81 258.5,-81 264.5,-81 270.5,-87 270.5,-93 270.5,-93 270.5,-105 270.5,-105 270.5,-111 264.5,-117 258.5,-117"/> |
|
|
<text text-anchor="middle" x="242.5" y="-97.1" font-family="Arial" font-size="8.00">Conclusion</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge29" class="edge"> |
|
|
<title>139861072891136->139861082035200</title> |
|
|
<path fill="none" stroke="black" d="M86.54,-647.8C101.5,-588.18 150.95,-393.39 198,-234 209,-196.72 222.97,-154.1 232.07,-126.88"/> |
|
|
<polygon fill="black" stroke="black" points="235.44,-127.85 235.3,-117.25 228.8,-125.62 235.44,-127.85"/> |
|
|
</g> |
|
|
|
|
|
<g id="node3" class="node"> |
|
|
<title>139861076381696</title> |
|
|
<g id="a_node3"><a xlink:title="Introduce Conditional Rank-Rank Regression (CRRR)"> |
|
|
<path fill="#cbc6ff" stroke="#808080" d="M581,-1278C581,-1278 395,-1278 395,-1278 389,-1278 383,-1272 383,-1266 383,-1266 383,-1254 383,-1254 383,-1248 389,-1242 395,-1242 395,-1242 581,-1242 581,-1242 587,-1242 593,-1248 593,-1254 593,-1254 593,-1266 593,-1266 593,-1272 587,-1278 581,-1278"/> |
|
|
<text text-anchor="middle" x="488" y="-1258.1" font-family="Arial" font-size="8.00">Introduce Conditional Rank-Rank Regression (CRRR)</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge2" class="edge"> |
|
|
<title>139861075298624->139861076381696</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-1197.14C279.87,-1209.22 301.46,-1224.4 323,-1233 338.68,-1239.26 355.76,-1244.07 372.78,-1247.77"/> |
|
|
<polygon fill="black" stroke="black" points="372.29,-1251.24 382.79,-1249.81 373.69,-1244.38 372.29,-1251.24"/> |
|
|
</g> |
|
|
|
|
|
<g id="node4" class="node"> |
|
|
<title>139861074749568</title> |
|
|
<g id="a_node4"><a xlink:title="Alternative to traditional rank-rank regressions with covariates (RRRX)"> |
|
|
<path fill="#cbc6ff" stroke="#808080" d="M609,-1224C609,-1224 367,-1224 367,-1224 361,-1224 355,-1218 355,-1212 355,-1212 355,-1200 355,-1200 355,-1194 361,-1188 367,-1188 367,-1188 609,-1188 609,-1188 615,-1188 621,-1194 621,-1200 621,-1200 621,-1212 621,-1212 621,-1218 615,-1224 609,-1224"/> |
|
|
<text text-anchor="middle" x="488" y="-1204.1" font-family="Arial" font-size="8.00">Alternative to traditional rank-rank regressions with covariates (RRRX)</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge3" class="edge"> |
|
|
<title>139861075298624->139861074749568</title> |
|
|
<path fill="none" stroke="black" d="M272.39,-1182.2C291.18,-1184.29 317.24,-1187.18 344.74,-1190.23"/> |
|
|
<polygon fill="black" stroke="black" points="344.6,-1193.73 354.93,-1191.36 345.37,-1186.77 344.6,-1193.73"/> |
|
|
</g> |
|
|
|
|
|
<g id="node5" class="node"> |
|
|
<title>139861074751296</title> |
|
|
<g id="a_node5"><a xlink:title="Measures within-group mobility and persistence"> |
|
|
<path fill="#cbc6ff" stroke="#808080" d="M568.5,-1170C568.5,-1170 407.5,-1170 407.5,-1170 401.5,-1170 395.5,-1164 395.5,-1158 395.5,-1158 395.5,-1146 395.5,-1146 395.5,-1140 401.5,-1134 407.5,-1134 407.5,-1134 568.5,-1134 568.5,-1134 574.5,-1134 580.5,-1140 580.5,-1146 580.5,-1146 580.5,-1158 580.5,-1158 580.5,-1164 574.5,-1170 568.5,-1170"/> |
|
|
<text text-anchor="middle" x="488" y="-1150.1" font-family="Arial" font-size="8.00">Measures within-group mobility and persistence</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge4" class="edge"> |
|
|
<title>139861075298624->139861074751296</title> |
|
|
<path fill="none" stroke="black" d="M272.39,-1175.8C300.32,-1172.7 344.31,-1167.82 385.2,-1163.29"/> |
|
|
<polygon fill="black" stroke="black" points="385.69,-1166.75 395.25,-1162.17 384.92,-1159.8 385.69,-1166.75"/> |
|
|
</g> |
|
|
|
|
|
<g id="node7" class="node"> |
|
|
<title>139861075213568</title> |
|
|
<g id="a_node7"><a xlink:title="CRRR uses conditional ranks of variables given covariates"> |
|
|
<path fill="#c0ffdd" stroke="#808080" d="M587.5,-1116C587.5,-1116 388.5,-1116 388.5,-1116 382.5,-1116 376.5,-1110 376.5,-1104 376.5,-1104 376.5,-1092 376.5,-1092 376.5,-1086 382.5,-1080 388.5,-1080 388.5,-1080 587.5,-1080 587.5,-1080 593.5,-1080 599.5,-1086 599.5,-1092 599.5,-1092 599.5,-1104 599.5,-1104 599.5,-1110 593.5,-1116 587.5,-1116"/> |
|
|
<text text-anchor="middle" x="488" y="-1096.1" font-family="Arial" font-size="8.00">CRRR uses conditional ranks of variables given covariates</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge6" class="edge"> |
|
|
<title>139861075298560->139861075213568</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-1035.14C279.87,-1047.22 301.46,-1062.4 323,-1071 336.74,-1076.49 351.55,-1080.86 366.46,-1084.34"/> |
|
|
<polygon fill="black" stroke="black" points="365.74,-1087.77 376.26,-1086.51 367.25,-1080.93 365.74,-1087.77"/> |
|
|
</g> |
|
|
|
|
|
<g id="node8" class="node"> |
|
|
<title>139861073173248</title> |
|
|
<g id="a_node8"><a xlink:title="RRRX uses marginal ranks net of covariate effects"> |
|
|
<path fill="#c0ffdd" stroke="#808080" d="M574,-1062C574,-1062 402,-1062 402,-1062 396,-1062 390,-1056 390,-1050 390,-1050 390,-1038 390,-1038 390,-1032 396,-1026 402,-1026 402,-1026 574,-1026 574,-1026 580,-1026 586,-1032 586,-1038 586,-1038 586,-1050 586,-1050 586,-1056 580,-1062 574,-1062"/> |
|
|
<text text-anchor="middle" x="488" y="-1042.1" font-family="Arial" font-size="8.00">RRRX uses marginal ranks net of covariate effects</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge7" class="edge"> |
|
|
<title>139861075298560->139861073173248</title> |
|
|
<path fill="none" stroke="black" d="M280.75,-1021.13C307.29,-1024.07 344.42,-1028.19 379.87,-1032.12"/> |
|
|
<polygon fill="black" stroke="black" points="379.48,-1035.6 389.81,-1033.22 380.26,-1028.64 379.48,-1035.6"/> |
|
|
</g> |
|
|
|
|
|
<g id="node9" class="node"> |
|
|
<title>139861077576960</title> |
|
|
<g id="a_node9"><a xlink:title="CRRR preserves rank correlation interpretation"> |
|
|
<path fill="#c0ffdd" stroke="#808080" d="M568.5,-1008C568.5,-1008 407.5,-1008 407.5,-1008 401.5,-1008 395.5,-1002 395.5,-996 395.5,-996 395.5,-984 395.5,-984 395.5,-978 401.5,-972 407.5,-972 407.5,-972 568.5,-972 568.5,-972 574.5,-972 580.5,-978 580.5,-984 580.5,-984 580.5,-996 580.5,-996 580.5,-1002 574.5,-1008 568.5,-1008"/> |
|
|
<text text-anchor="middle" x="488" y="-988.1" font-family="Arial" font-size="8.00">CRRR preserves rank correlation interpretation</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge8" class="edge"> |
|
|
<title>139861075298560->139861077576960</title> |
|
|
<path fill="none" stroke="black" d="M280.75,-1012.87C308.57,-1009.78 348.02,-1005.41 384.98,-1001.31"/> |
|
|
<polygon fill="black" stroke="black" points="385.77,-1004.75 395.32,-1000.17 385,-997.79 385.77,-1004.75"/> |
|
|
</g> |
|
|
|
|
|
<g id="node11" class="node"> |
|
|
<title>139861073182080</title> |
|
|
<g id="a_node11"><a xlink:title="Distribution regression (DR) estimator for CRRR"> |
|
|
<path fill="#ffffc5" stroke="#808080" d="M571,-954C571,-954 405,-954 405,-954 399,-954 393,-948 393,-942 393,-942 393,-930 393,-930 393,-924 399,-918 405,-918 405,-918 571,-918 571,-918 577,-918 583,-924 583,-930 583,-930 583,-942 583,-942 583,-948 577,-954 571,-954"/> |
|
|
<text text-anchor="middle" x="488" y="-934.1" font-family="Arial" font-size="8.00">Distribution regression (DR) estimator for CRRR</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge10" class="edge"> |
|
|
<title>139861073182528->139861073182080</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-873.14C279.87,-885.22 301.46,-900.4 323,-909 341.77,-916.49 362.54,-921.91 382.82,-925.82"/> |
|
|
<polygon fill="black" stroke="black" points="382.26,-929.28 392.73,-927.62 383.51,-922.39 382.26,-929.28"/> |
|
|
</g> |
|
|
|
|
|
<g id="node12" class="node"> |
|
|
<title>139861073182400</title> |
|
|
<g id="a_node12"><a xlink:title="Models conditional distributions using parametric link functions"> |
|
|
<path fill="#ffffc5" stroke="#808080" d="M593.5,-900C593.5,-900 382.5,-900 382.5,-900 376.5,-900 370.5,-894 370.5,-888 370.5,-888 370.5,-876 370.5,-876 370.5,-870 376.5,-864 382.5,-864 382.5,-864 593.5,-864 593.5,-864 599.5,-864 605.5,-870 605.5,-876 605.5,-876 605.5,-888 605.5,-888 605.5,-894 599.5,-900 593.5,-900"/> |
|
|
<text text-anchor="middle" x="488" y="-880.1" font-family="Arial" font-size="8.00">Models conditional distributions using parametric link functions</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge11" class="edge"> |
|
|
<title>139861073182528->139861073182400</title> |
|
|
<path fill="none" stroke="black" d="M269.56,-857.89C291.84,-860.36 325.66,-864.11 360.04,-867.92"/> |
|
|
<polygon fill="black" stroke="black" points="359.9,-871.43 370.23,-869.05 360.67,-864.47 359.9,-871.43"/> |
|
|
</g> |
|
|
|
|
|
<g id="node13" class="node"> |
|
|
<title>139861073180864</title> |
|
|
<g id="a_node13"><a xlink:title="Easy to implement and computationally tractable"> |
|
|
<path fill="#ffffc5" stroke="#808080" d="M570,-846C570,-846 406,-846 406,-846 400,-846 394,-840 394,-834 394,-834 394,-822 394,-822 394,-816 400,-810 406,-810 406,-810 570,-810 570,-810 576,-810 582,-816 582,-822 582,-822 582,-834 582,-834 582,-840 576,-846 570,-846"/> |
|
|
<text text-anchor="middle" x="488" y="-826.1" font-family="Arial" font-size="8.00">Easy to implement and computationally tractable</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge12" class="edge"> |
|
|
<title>139861073182528->139861073180864</title> |
|
|
<path fill="none" stroke="black" d="M269.56,-852.11C296.99,-849.07 341.93,-844.09 383.85,-839.44"/> |
|
|
<polygon fill="black" stroke="black" points="384.31,-842.91 393.86,-838.33 383.54,-835.95 384.31,-842.91"/> |
|
|
</g> |
|
|
|
|
|
<g id="node15" class="node"> |
|
|
<title>139861074535040</title> |
|
|
<g id="a_node15"><a xlink:title="Derive asymptotic distribution of CRRR estimator"> |
|
|
<path fill="#afe2fc" stroke="#808080" d="M571.5,-792C571.5,-792 404.5,-792 404.5,-792 398.5,-792 392.5,-786 392.5,-780 392.5,-780 392.5,-768 392.5,-768 392.5,-762 398.5,-756 404.5,-756 404.5,-756 571.5,-756 571.5,-756 577.5,-756 583.5,-762 583.5,-768 583.5,-768 583.5,-780 583.5,-780 583.5,-786 577.5,-792 571.5,-792"/> |
|
|
<text text-anchor="middle" x="488" y="-772.1" font-family="Arial" font-size="8.00">Derive asymptotic distribution of CRRR estimator</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge14" class="edge"> |
|
|
<title>139861073182464->139861074535040</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-711.14C279.87,-723.22 301.46,-738.4 323,-747 341.65,-754.45 362.29,-759.84 382.45,-763.75"/> |
|
|
<polygon fill="black" stroke="black" points="381.83,-767.19 392.3,-765.55 383.09,-760.31 381.83,-767.19"/> |
|
|
</g> |
|
|
|
|
|
<g id="node16" class="node"> |
|
|
<title>139861073181056</title> |
|
|
<g id="a_node16"><a xlink:title="Use functional delta method and Hadamard differentiability"> |
|
|
<path fill="#afe2fc" stroke="#808080" d="M588,-738C588,-738 388,-738 388,-738 382,-738 376,-732 376,-726 376,-726 376,-714 376,-714 376,-708 382,-702 388,-702 388,-702 588,-702 588,-702 594,-702 600,-708 600,-714 600,-714 600,-726 600,-726 600,-732 594,-738 588,-738"/> |
|
|
<text text-anchor="middle" x="488" y="-718.1" font-family="Arial" font-size="8.00">Use functional delta method and Hadamard differentiability</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge15" class="edge"> |
|
|
<title>139861073182464->139861073181056</title> |
|
|
<path fill="none" stroke="black" d="M284.26,-697.52C306.94,-700.03 336.49,-703.31 365.99,-706.58"/> |
|
|
<polygon fill="black" stroke="black" points="365.65,-710.07 375.98,-707.69 366.42,-703.11 365.65,-710.07"/> |
|
|
</g> |
|
|
|
|
|
<g id="node17" class="node"> |
|
|
<title>139861078897536</title> |
|
|
<g id="a_node17"><a xlink:title="Establish consistency and asymptotic normality"> |
|
|
<path fill="#afe2fc" stroke="#808080" d="M566.5,-684C566.5,-684 409.5,-684 409.5,-684 403.5,-684 397.5,-678 397.5,-672 397.5,-672 397.5,-660 397.5,-660 397.5,-654 403.5,-648 409.5,-648 409.5,-648 566.5,-648 566.5,-648 572.5,-648 578.5,-654 578.5,-660 578.5,-660 578.5,-672 578.5,-672 578.5,-678 572.5,-684 566.5,-684"/> |
|
|
<text text-anchor="middle" x="488" y="-664.1" font-family="Arial" font-size="8.00">Establish consistency and asymptotic normality</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge16" class="edge"> |
|
|
<title>139861073182464->139861078897536</title> |
|
|
<path fill="none" stroke="black" d="M284.26,-688.48C312.41,-685.36 351.14,-681.06 387.21,-677.07"/> |
|
|
<polygon fill="black" stroke="black" points="387.75,-680.53 397.3,-675.95 386.98,-673.57 387.75,-680.53"/> |
|
|
</g> |
|
|
|
|
|
<g id="node19" class="node"> |
|
|
<title>139861076165184</title> |
|
|
<g id="a_node19"><a xlink:title="Propose exchangeable bootstrap procedure for inference"> |
|
|
<path fill="#9effcc" stroke="#808080" d="M586.5,-630C586.5,-630 389.5,-630 389.5,-630 383.5,-630 377.5,-624 377.5,-618 377.5,-618 377.5,-606 377.5,-606 377.5,-600 383.5,-594 389.5,-594 389.5,-594 586.5,-594 586.5,-594 592.5,-594 598.5,-600 598.5,-606 598.5,-606 598.5,-618 598.5,-618 598.5,-624 592.5,-630 586.5,-630"/> |
|
|
<text text-anchor="middle" x="488" y="-610.1" font-family="Arial" font-size="8.00">Propose exchangeable bootstrap procedure for inference</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge18" class="edge"> |
|
|
<title>139861091877696->139861076165184</title> |
|
|
<path fill="none" stroke="black" d="M269.56,-587.89C293.33,-590.53 330.26,-594.62 366.98,-598.69"/> |
|
|
<polygon fill="black" stroke="black" points="366.99,-602.21 377.32,-599.84 367.76,-595.26 366.99,-602.21"/> |
|
|
</g> |
|
|
|
|
|
<g id="node20" class="node"> |
|
|
<title>139861076379264</title> |
|
|
<g id="a_node20"><a xlink:title="Consistently estimates asymptotic variance and distribution"> |
|
|
<path fill="#9effcc" stroke="#808080" d="M588,-576C588,-576 388,-576 388,-576 382,-576 376,-570 376,-564 376,-564 376,-552 376,-552 376,-546 382,-540 388,-540 388,-540 588,-540 588,-540 594,-540 600,-546 600,-552 600,-552 600,-564 600,-564 600,-570 594,-576 588,-576"/> |
|
|
<text text-anchor="middle" x="488" y="-556.1" font-family="Arial" font-size="8.00">Consistently estimates asymptotic variance and distribution</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge19" class="edge"> |
|
|
<title>139861091877696->139861076379264</title> |
|
|
<path fill="none" stroke="black" d="M269.56,-582.11C293.05,-579.51 329.39,-575.48 365.68,-571.45"/> |
|
|
<polygon fill="black" stroke="black" points="366.35,-574.9 375.9,-570.32 365.57,-567.94 366.35,-574.9"/> |
|
|
</g> |
|
|
|
|
|
<g id="node21" class="node"> |
|
|
<title>139861075301184</title> |
|
|
<g id="a_node21"><a xlink:title="Allows for construction of confidence intervals"> |
|
|
<path fill="#9effcc" stroke="#808080" d="M564.5,-522C564.5,-522 411.5,-522 411.5,-522 405.5,-522 399.5,-516 399.5,-510 399.5,-510 399.5,-498 399.5,-498 399.5,-492 405.5,-486 411.5,-486 411.5,-486 564.5,-486 564.5,-486 570.5,-486 576.5,-492 576.5,-498 576.5,-498 576.5,-510 576.5,-510 576.5,-516 570.5,-522 564.5,-522"/> |
|
|
<text text-anchor="middle" x="488" y="-502.1" font-family="Arial" font-size="8.00">Allows for construction of confidence intervals</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge20" class="edge"> |
|
|
<title>139861091877696->139861075301184</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-566.86C279.87,-554.78 301.46,-539.6 323,-531 343.68,-522.74 366.8,-517.01 389.01,-513.03"/> |
|
|
<polygon fill="black" stroke="black" points="389.85,-516.43 399.13,-511.32 388.69,-509.53 389.85,-516.43"/> |
|
|
</g> |
|
|
|
|
|
<g id="node23" class="node"> |
|
|
<title>139861072890624</title> |
|
|
<g id="a_node23"><a xlink:title="Analyze intergenerational income mobility in Switzerland"> |
|
|
<path fill="#ffcdff" stroke="#808080" d="M583.5,-468C583.5,-468 392.5,-468 392.5,-468 386.5,-468 380.5,-462 380.5,-456 380.5,-456 380.5,-444 380.5,-444 380.5,-438 386.5,-432 392.5,-432 392.5,-432 583.5,-432 583.5,-432 589.5,-432 595.5,-438 595.5,-444 595.5,-444 595.5,-456 595.5,-456 595.5,-462 589.5,-468 583.5,-468"/> |
|
|
<text text-anchor="middle" x="488" y="-448.1" font-family="Arial" font-size="8.00">Analyze intergenerational income mobility in Switzerland</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge22" class="edge"> |
|
|
<title>139861074979904->139861072890624</title> |
|
|
<path fill="none" stroke="black" d="M287.03,-427.83C310.45,-430.42 340.55,-433.76 370.26,-437.06"/> |
|
|
<polygon fill="black" stroke="black" points="369.98,-440.55 380.31,-438.17 370.75,-433.59 369.98,-440.55"/> |
|
|
</g> |
|
|
|
|
|
<g id="node24" class="node"> |
|
|
<title>139861075297536</title> |
|
|
<g id="a_node24"><a xlink:title="Use Economic Well-Being of the Working and Retirement Age Population Data (WiSiER)"> |
|
|
<path fill="#ffcdff" stroke="#808080" d="M641,-414C641,-414 335,-414 335,-414 329,-414 323,-408 323,-402 323,-402 323,-390 323,-390 323,-384 329,-378 335,-378 335,-378 641,-378 641,-378 647,-378 653,-384 653,-390 653,-390 653,-402 653,-402 653,-408 647,-414 641,-414"/> |
|
|
<text text-anchor="middle" x="488" y="-394.1" font-family="Arial" font-size="8.00">Use Economic Well-Being of the Working and Retirement Age Population Data (WiSiER)</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge23" class="edge"> |
|
|
<title>139861074979904->139861075297536</title> |
|
|
<path fill="none" stroke="black" d="M287.03,-418.17C295.45,-417.24 304.72,-416.21 314.53,-415.12"/> |
|
|
<polygon fill="black" stroke="black" points="314.96,-418.6 324.51,-414.02 314.19,-411.64 314.96,-418.6"/> |
|
|
</g> |
|
|
|
|
|
<g id="node25" class="node"> |
|
|
<title>139861072894400</title> |
|
|
<g id="a_node25"><a xlink:title="Find significant positive income persistence and gender gap"> |
|
|
<path fill="#ffcdff" stroke="#808080" d="M589.5,-360C589.5,-360 386.5,-360 386.5,-360 380.5,-360 374.5,-354 374.5,-348 374.5,-348 374.5,-336 374.5,-336 374.5,-330 380.5,-324 386.5,-324 386.5,-324 589.5,-324 589.5,-324 595.5,-324 601.5,-330 601.5,-336 601.5,-336 601.5,-348 601.5,-348 601.5,-354 595.5,-360 589.5,-360"/> |
|
|
<text text-anchor="middle" x="488" y="-340.1" font-family="Arial" font-size="8.00">Find significant positive income persistence and gender gap</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge24" class="edge"> |
|
|
<title>139861074979904->139861072894400</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-404.86C279.87,-392.78 301.46,-377.6 323,-369 336.06,-363.78 350.1,-359.57 364.26,-356.18"/> |
|
|
<polygon fill="black" stroke="black" points="365.1,-359.58 374.08,-353.96 363.55,-352.75 365.1,-359.58"/> |
|
|
</g> |
|
|
|
|
|
<g id="node27" class="node"> |
|
|
<title>139861072894016</title> |
|
|
<g id="a_node27"><a xlink:title="Evaluate finite-sample performance of CRRR estimator"> |
|
|
<path fill="#ffaada" stroke="#808080" d="M582.5,-306C582.5,-306 393.5,-306 393.5,-306 387.5,-306 381.5,-300 381.5,-294 381.5,-294 381.5,-282 381.5,-282 381.5,-276 387.5,-270 393.5,-270 393.5,-270 582.5,-270 582.5,-270 588.5,-270 594.5,-276 594.5,-282 594.5,-282 594.5,-294 594.5,-294 594.5,-300 588.5,-306 582.5,-306"/> |
|
|
<text text-anchor="middle" x="488" y="-286.1" font-family="Arial" font-size="8.00">Evaluate finite-sample performance of CRRR estimator</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge26" class="edge"> |
|
|
<title>139861072903552->139861072894016</title> |
|
|
<path fill="none" stroke="black" d="M280.75,-265.13C305.14,-267.83 338.45,-271.53 371.19,-275.16"/> |
|
|
<polygon fill="black" stroke="black" points="371,-278.66 381.32,-276.28 371.77,-271.7 371,-278.66"/> |
|
|
</g> |
|
|
|
|
|
<g id="node28" class="node"> |
|
|
<title>139861075296704</title> |
|
|
<g id="a_node28"><a xlink:title="Compare with RRRX and other estimators"> |
|
|
<path fill="#ffaada" stroke="#808080" d="M560,-252C560,-252 416,-252 416,-252 410,-252 404,-246 404,-240 404,-240 404,-228 404,-228 404,-222 410,-216 416,-216 416,-216 560,-216 560,-216 566,-216 572,-222 572,-228 572,-228 572,-240 572,-240 572,-246 566,-252 560,-252"/> |
|
|
<text text-anchor="middle" x="488" y="-232.1" font-family="Arial" font-size="8.00">Compare with RRRX and other estimators</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge27" class="edge"> |
|
|
<title>139861072903552->139861075296704</title> |
|
|
<path fill="none" stroke="black" d="M280.75,-256.87C310.77,-253.54 354.33,-248.71 393.69,-244.35"/> |
|
|
<polygon fill="black" stroke="black" points="394.31,-247.8 403.86,-243.22 393.54,-240.84 394.31,-247.8"/> |
|
|
</g> |
|
|
|
|
|
<g id="node29" class="node"> |
|
|
<title>139861075296768</title> |
|
|
<g id="a_node29"><a xlink:title="Find good performance and robustness of CRRR estimator"> |
|
|
<path fill="#ffaada" stroke="#808080" d="M590,-198C590,-198 386,-198 386,-198 380,-198 374,-192 374,-186 374,-186 374,-174 374,-174 374,-168 380,-162 386,-162 386,-162 590,-162 590,-162 596,-162 602,-168 602,-174 602,-174 602,-186 602,-186 602,-192 596,-198 590,-198"/> |
|
|
<text text-anchor="middle" x="488" y="-178.1" font-family="Arial" font-size="8.00">Find good performance and robustness of CRRR estimator</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge28" class="edge"> |
|
|
<title>139861072903552->139861075296768</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-242.86C279.87,-230.78 301.46,-215.6 323,-207 335.83,-201.88 349.6,-197.73 363.5,-194.36"/> |
|
|
<polygon fill="black" stroke="black" points="364.67,-197.69 373.64,-192.05 363.11,-190.86 364.67,-197.69"/> |
|
|
</g> |
|
|
|
|
|
<g id="node31" class="node"> |
|
|
<title>139861075209920</title> |
|
|
<g id="a_node31"><a xlink:title="CRRR provides well-grounded measure of within-group mobility and persistence"> |
|
|
<path fill="#e2becc" stroke="#808080" d="M627,-144C627,-144 349,-144 349,-144 343,-144 337,-138 337,-132 337,-132 337,-120 337,-120 337,-114 343,-108 349,-108 349,-108 627,-108 627,-108 633,-108 639,-114 639,-120 639,-120 639,-132 639,-132 639,-138 633,-144 627,-144"/> |
|
|
<text text-anchor="middle" x="488" y="-124.1" font-family="Arial" font-size="8.00">CRRR provides well-grounded measure of within-group mobility and persistence</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge30" class="edge"> |
|
|
<title>139861082035200->139861075209920</title> |
|
|
<path fill="none" stroke="black" d="M270.96,-102.04C285.79,-103.69 305.43,-105.87 326.84,-108.24"/> |
|
|
<polygon fill="black" stroke="black" points="326.46,-111.72 336.78,-109.34 327.23,-104.76 326.46,-111.72"/> |
|
|
</g> |
|
|
|
|
|
<g id="node32" class="node"> |
|
|
<title>139861075209600</title> |
|
|
<g id="a_node32"><a xlink:title="DR estimator and exchangeable bootstrap procedure for inference"> |
|
|
<path fill="#e2becc" stroke="#808080" d="M603,-90C603,-90 373,-90 373,-90 367,-90 361,-84 361,-78 361,-78 361,-66 361,-66 361,-60 367,-54 373,-54 373,-54 603,-54 603,-54 609,-54 615,-60 615,-66 615,-66 615,-78 615,-78 615,-84 609,-90 603,-90"/> |
|
|
<text text-anchor="middle" x="488" y="-70.1" font-family="Arial" font-size="8.00">DR estimator and exchangeable bootstrap procedure for inference</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge31" class="edge"> |
|
|
<title>139861082035200->139861075209600</title> |
|
|
<path fill="none" stroke="black" d="M270.96,-95.96C291.13,-93.72 320.2,-90.5 350.5,-87.14"/> |
|
|
<polygon fill="black" stroke="black" points="351.26,-90.57 360.81,-85.99 350.49,-83.62 351.26,-90.57"/> |
|
|
</g> |
|
|
|
|
|
<g id="node33" class="node"> |
|
|
<title>139861075300928</title> |
|
|
<g id="a_node33"><a xlink:title="Useful addition to toolkit for studying mobility and persistence."> |
|
|
<path fill="#e2becc" stroke="#808080" d="M592.5,-36C592.5,-36 383.5,-36 383.5,-36 377.5,-36 371.5,-30 371.5,-24 371.5,-24 371.5,-12 371.5,-12 371.5,-6 377.5,0 383.5,0 383.5,0 592.5,0 592.5,0 598.5,0 604.5,-6 604.5,-12 604.5,-12 604.5,-24 604.5,-24 604.5,-30 598.5,-36 592.5,-36"/> |
|
|
<text text-anchor="middle" x="488" y="-16.1" font-family="Arial" font-size="8.00">Useful addition to toolkit for studying mobility and persistence.</text> |
|
|
</a> |
|
|
</g> |
|
|
</g> |
|
|
|
|
|
<g id="edge32" class="edge"> |
|
|
<title>139861082035200->139861075300928</title> |
|
|
<path fill="none" stroke="black" d="M264.64,-80.86C279.87,-68.78 301.46,-53.6 323,-45 335.17,-40.14 348.19,-36.15 361.36,-32.89"/> |
|
|
<polygon fill="black" stroke="black" points="362.52,-36.21 371.46,-30.52 360.93,-29.39 362.52,-36.21"/> |
|
|
</g> |
|
|
</g> |
|
|
</svg> |
|
|
|
