Estimation and Inference of Discontinuity in Density
Estimation and Inference of Discontinuity in Density
Estimation and Inference of Discontinuity in Density
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Table 2: F<strong>in</strong>ite-sample biases, st<strong>and</strong>ard deviations (Std.’s) <strong>and</strong> root mean square errors (RMSEs) <strong>of</strong>the b<strong>in</strong>n<strong>in</strong>g <strong>and</strong> the local likelihood estimators <strong>of</strong> . The data are generated from a Student’s t density[i.e. 12 + t(5)= p 5=9] <strong>and</strong> the sample size n = 1000. The discont<strong>in</strong>uity po<strong>in</strong>t is c = 13.Fixed b<strong>and</strong>widthData dependent b<strong>and</strong>widthEst. h = 1 h = 2 h = 3 h = 4 = 1:5 1 = 1 = 1:5 = 1:5 2BiasStd.RMSEGe :0759 :1208 :1355 :1315 :0887 :1163 :1319 :1276Gb :0083 :0394 :0876 :1254 :0120 :0369 :0790 :1274e :0762 :1223 :1378 :1343 :0899 :1180 :1343 :1305b :0036 :0183 :0492 :0788 :0060 :0184 :0442 :0832Ge :0235 :0166 :0130 :0100 :0267 :0209 :0138 :0120Gb :0455 :0333 :0262 :0219 :0444 :0399 :0381 :0305e :0232 :0163 :0130 :0096 :0254 :0199 :0136 :0119b :0456 :0358 :0320 :0296 :0421 :0374 :0377 :0380Ge :0795 :1220 :1361 :1319 :0926 :1182 :1326 :1282Gb :0462 :0516 :0915 :1273 :0460 :0543 :0877 :1310e :0796 :1234 :1385 :1346 :0934 :1197 :1350 :1311b :0457 :0402 :0587 :0842 :0425 :0417 :0581 :0914hMean 1:9132Std. 0:356024
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