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Empirical coverage estimation on RiverSwim

0.948Q^π(1, 0)Plug-in (CLT) CI
0.0640.29350.5230.7525May 12, 2026

Evaluation results

MethodLinks
Plug-in (CLT) CIn=10002026.050.9480.9470.9360.9480.9450.9470.9440.9430.946—————————
Model-based bootstrap with percentile CIn=10002026.050.9470.9480.950.9470.9490.9490.9510.9570.958—————————
Model-based bootstrap with pivot CIn=5002026.050.9460.9560.9620.9460.9470.9450.9510.9760.959—————————
Plug-in (CLT) CIn=5002026.050.9460.9520.8720.9460.9470.9480.9440.9310.867—————————
Model-based bootstrap with pivot CIn=10002026.050.9440.9520.9620.9440.9430.9440.9370.9690.963—————————
Model-based bootstrap with percentile CIn=5002026.050.9440.9520.890.9440.9430.9440.9480.9670.891—————————
Plug-in (CLT) CIn=1002026.050.9360.8820.3040.9360.9330.8980.8220.6630.319—————————
Episodic bootstrap with percentile CIn=10002026.050.9320.9290.9410.9320.930.9310.9340.9480.944—————————
Model-based bootstrapn=500, CI type=percentile2026.050.9220.9260.9070.9220.920.9260.9190.9240.942—————————
Episodic bootstrap with pivot CIn=10002026.050.9220.9360.9490.9220.9190.9150.9330.9550.941—————————
Model-based bootstrap with pivot CIn=1002026.050.9210.9330.5730.9210.9190.9080.830.7180.571—————————
Model-based bootstrapCI type=pivot, n=100, episode length T=502026.050.9120.9520.6210.9120.9250.9360.9340.7850.614—————————
Episodic bootstrap with percentile CIn=5002026.050.9110.910.8670.9110.9110.9070.9180.9530.868—————————
Model-based bootstrap with percentile CIn=1002026.050.910.8670.550.910.8990.8750.7960.680.588—————————
Model-based bootstrapCI type=percentile, n=500, episode length T=502026.050.9090.9170.860.9090.9030.9110.9260.9460.871—————————
Model-based bootstrapCI type=pivot, n=500, episode length T=502026.050.9030.9350.850.9030.9040.9190.9570.9110.829—————————
Episodic bootstrap with pivot CIn=5002026.050.9030.9240.9470.9030.9010.9060.8990.9310.937—————————
Plug-in (CLT) CIn=500, episode length T=502026.050.9020.9030.8150.9020.8990.9060.9140.8890.772—————————
Plug-in (CLT) CIn=1000, episode length T=502026.050.9010.8970.8850.9010.8950.8970.9060.8960.878—————————
Model-based bootstrapCI type=percentile, n=1000, episode length T=502026.050.8960.9030.930.8960.8960.8990.9180.9290.935—————————
Model-based bootstrapCI type=percentile, n=100, episode length T=502026.050.8940.9220.3220.8940.8930.9170.8610.6620.324—————————
Model-based bootstrapCI type=pivot, n=1000, episode length T=502026.050.8880.9060.8840.8880.8990.9050.9380.8940.879—————————
Model-based bootstrapn=1000, CI type=percentile2026.050.8880.8940.9310.8880.8870.8960.9060.9030.923—————————
Plug-in (CLT) CIn=100, episode length T=502026.050.8780.8930.3410.8780.8720.8810.8550.5650.344—————————
Plug-in (CLT) CIn=5002026.050.8770.8850.8610.8770.8770.8840.8860.8770.862—————————
Episodic bootstrapCI type=percentile, n=1000, episode length T=502026.050.8740.8910.8960.8740.8780.8840.8960.8980.877—————————
Plug-in (CLT) CIn=10002026.050.8690.8760.8660.8690.8690.8730.8820.8780.886—————————
Episodic bootstrapCI type=pivot, n=1000, episode length T=502026.050.8650.8860.8480.8650.8710.8760.8980.8660.841—————————
Episodic bootstrapCI type=pivot, n=500, episode length T=502026.050.8630.8880.790.8630.8710.8750.9070.8380.752—————————
Episodic bootstrapCI type=percentile, n=500, episode length T=502026.050.8630.8670.80.8630.8670.8660.8890.8770.781—————————
Model-based bootstrap with percentile CIn=1000, Nominal Coverage=90%, Episode Length (T)=102026.050.860.8620.607———————————————
Episodic bootstrapn=500, CI type=percentile2026.050.8590.8650.8430.8590.8610.8660.8550.8520.862—————————
Model-based bootstrapn=500, CI type=pivot2026.050.8580.8640.8390.8580.8640.8660.8740.8820.846—————————
Model-based bootstrapn=1000, CI type=pivot2026.050.8570.860.8580.8570.8570.8610.8750.8740.88—————————
Plug-in (CLT) CIn=502026.050.8560.6750.1580.8560.810.6850.4750.3020.175—————————
Episodic bootstrapn=1000, CI type=percentile2026.050.8540.8590.8920.8540.8560.8570.8630.8570.874—————————
Model-based bootstrap with pivot CIn=502026.050.8450.7210.2810.8450.8250.7050.5010.3310.276—————————
Model-based bootstrapCI type=pivot, n=50, episode length T=502026.050.8420.7840.3650.8420.8340.7720.6490.4790.362—————————
Episodic bootstrapn=1000, CI type=pivot2026.050.8220.8250.8190.8220.8220.8270.8260.8310.839—————————
Model-based bootstrapCI type=percentile, n=50, episode length T=502026.050.8210.8360.1680.8210.8140.8110.560.4330.183—————————
Episodic bootstrapn=500, CI type=pivot2026.050.8080.810.7630.8080.8080.8130.8230.8110.766—————————
Episodic bootstrap with percentile CIn=1000, Nominal Coverage=90%, Episode Length (T)=102026.050.8050.8070.562———————————————
Plug-in (CLT) CIn=50, episode length T=502026.050.7910.7380.1740.7910.770.7230.570.3420.246—————————
Model-based bootstrap with percentile CIn=502026.050.780.710.3920.780.7620.6380.4080.3080.402—————————
Model-based bootstrap with percentile CIn=500, Nominal Coverage=90%, Episode Length (T)=102026.050.730.7290.292———————————————
Episodic bootstrap with percentile CIn=500, Nominal Coverage=90%, Episode Length (T)=102026.050.6770.6810.253———————————————
Model-based bootstrapn=100, CI type=percentile2026.050.6540.6540.2180.6540.6550.6550.6610.6640.44—————————
Model-based bootstrapn=100, CI type=pivot2026.050.6370.6180.5950.6370.6320.6220.6050.5660.542—————————
Plug-in (CLT) CIn=1002026.050.6320.6120.5150.6320.6280.6110.5940.560.515—————————
Episodic bootstrap with pivot CIn=1002026.050.560.5980.490.560.5640.5780.5450.4190.49—————————
Episodic bootstrapCI type=pivot, n=100, episode length T=502026.050.5460.5750.5350.5460.5510.5660.5750.4310.535—————————
Model-based bootstrap with percentile CIn=500, Episode length T=50, Nominal coverage=50%2026.050.5280.5220.5350.5280.5190.5220.5210.5210.538—————————
Episodic bootstrapCI type=percentile, n=100, episode length T=502026.050.5150.539—0.5150.5190.530.5120.4760.228—————————
Episodic bootstrap with percentile CIn=1002026.050.5040.5010.3710.5040.5010.4840.4510.4060.379—————————
Episodic bootstrapn=100, CI type=percentile2026.050.4920.4810.0980.4920.4910.4850.480.4690.204—————————
Model-based bootstrapn=1000, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.4860.4890.3370.4860.4890.4890.490.4850.427—————————
Model-based bootstrap with percentile CIn=1000, Episode length T=50, Nominal coverage=50%2026.050.4840.4850.5030.4840.4860.4850.4950.4880.492—————————
Episodic bootstrapn=1000, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.4750.480.3230.4750.4730.480.4660.4630.402—————————
Episodic bootstrap with percentile CIn=500, Episode length T=50, Nominal coverage=50%2026.050.4720.4610.4560.4720.4610.4610.4560.440.451—————————
Episodic bootstrap with percentile CIn=1000, Episode length T=50, Nominal coverage=50%2026.050.4580.4510.4630.4580.460.4510.4660.4580.457—————————
Model-based bootstrap with percentile CIn=100, Episode length T=50, Nominal coverage=50%2026.050.4450.4370.2250.4450.4490.4370.4360.4410.298—————————
Model-based bootstrapn=500, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.440.4380.110.440.4420.4380.4370.4390.206—————————
Episodic bootstrapn=100, CI type=pivot2026.050.4360.3980.5220.4360.4410.410.3620.2910.431—————————
Model-based bootstrapn=50, CI type=pivot2026.050.4240.390.3930.4240.4180.3930.3720.3490.349—————————
Model-based bootstrapn=50, CI type=percentile2026.050.4210.4250.0570.4210.4210.4230.4260.4260.208—————————
Episodic bootstrapn=500, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.4210.4170.1640.4210.4190.4170.4230.4210.22—————————
Plug-in (CLT) CIn=502026.050.3930.3720.3080.3930.3870.3720.3590.3470.318—————————
Model-based bootstrap with pivot CIn=1000, Nominal Coverage=90%, Episode Length (T)=102026.050.3640.4690.548———————————————
Plug-in (CLT) CIn=1000, Nominal Coverage=90%, Episode Length (T)=102026.050.3580.5780.587———————————————
Episodic bootstrap with pivot CIn=1000, Nominal Coverage=90%, Episode Length (T)=102026.050.3430.4520.519———————————————
Model-based bootstrap with pivot CIn=500, Nominal Coverage=90%, Episode Length (T)=102026.050.2930.3470.377———————————————
Model-based bootstrap with percentile CIn=50, Episode length T=50, Nominal coverage=50%2026.050.2920.2890.1010.2920.2890.2890.2910.2880.151—————————
Plug-in (CLT) CIn=500, Episode length T=50, Nominal coverage=50%2026.050.2880.4720.4880.2880.4790.4720.4740.4740.473—————————
Plug-in (CLT) CIn=1000, Episode length T=50, Nominal coverage=50%2026.050.2850.4840.4860.2850.4680.4840.4830.4810.484—————————
Plug-in (CLT) CIn=500, Nominal Coverage=90%, Episode Length (T)=102026.050.2830.3930.35———————————————
Model-based bootstrapn=1000, CI Type=pivot CI, Nominal Coverage=50%, Episode length T=102026.050.2630.3550.3610.2630.3280.3510.3680.370.326—————————
Model-based bootstrap with pivot CIn=500, Episode length T=50, Nominal coverage=50%2026.050.2620.4510.4760.2620.3950.4510.4770.5040.49—————————
Model-based bootstrap with pivot CIn=1000, Episode length T=50, Nominal coverage=50%2026.050.2510.4750.4790.2510.4480.4750.4880.4880.482—————————
Episodic bootstrap with pivot CIn=500, Episode length T=50, Nominal coverage=50%2026.050.2470.4180.4310.2470.3710.4170.4320.430.424—————————
Episodic bootstrap with pivot CIn=500, Nominal Coverage=90%, Episode Length (T)=102026.050.2430.2960.372———————————————
Episodic bootstrapn=1000, CI Type=pivot CI, Nominal Coverage=50%, Episode length T=102026.050.2370.3230.3380.2370.2950.320.3320.3260.298—————————
Model-based bootstrap with percentile CIn=100, Nominal Coverage=90%, Episode Length (T)=102026.050.2370.2370.035———————————————
Episodic bootstrap with pivot CIn=1000, Episode length T=50, Nominal coverage=50%2026.050.2350.4440.4490.2350.420.4440.4550.4510.447—————————
Episodic bootstrap with percentile CIn=100, Nominal Coverage=90%, Episode Length (T)=102026.050.2320.2320.03———————————————
Episodic bootstrap with percentile CIn=100, Episode length T=50, Nominal coverage=50%2026.050.2250.2210.1390.2250.2140.2210.2210.2190.174—————————
Episodic bootstrapn=100, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.2050.2050.0190.2050.2040.2050.2060.2030.045—————————
Model-based bootstrapn=100, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.2030.2010.0020.2030.2020.2010.2010.1960.015—————————
Plug-in (CLT) CIn=1000, Nominal Coverage=50%, Episode length T=102026.050.2030.3260.3260.2030.320.3260.3210.3180.301—————————
Model-based bootstrapn=500, CI Type=pivot CI, Nominal Coverage=50%, Episode length T=102026.050.1860.2360.2460.1860.220.2340.2470.2510.223—————————
Plug-in (CLT) CIn=100, Episode length T=50, Nominal coverage=50%2026.050.180.2780.2610.180.2690.2780.2780.2750.271—————————
Model-based bootstrap with pivot CIn=100, Episode length T=50, Nominal coverage=50%2026.050.1640.2370.3350.1640.2120.2320.2560.2640.309—————————
Episodic bootstrapn=500, CI Type=pivot CI, Nominal Coverage=50%, Episode length T=102026.050.1390.1830.2530.1390.1680.180.1910.1950.21—————————
Plug-in (CLT) CIn=500, Nominal Coverage=50%, Episode length T=102026.050.1330.190.1930.1330.1830.190.2040.1990.183—————————
Model-based bootstrap with percentile CIn=50, Nominal Coverage=90%, Episode Length (T)=102026.050.1150.1150.011———————————————
Episodic bootstrap with percentile CIn=50, Nominal Coverage=90%, Episode Length (T)=102026.050.1150.1140.006———————————————
Episodic bootstrapn=50, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.1050.1060.0060.1050.1050.1060.1040.1010.011—————————
Model-based bootstrapn=50, CI Type=percentile CI, Nominal Coverage=50%, Episode length T=102026.050.1020.10200.1020.1010.1020.1020.1020.001—————————
Plug-in (CLT) CIn=50, Episode length T=50, Nominal coverage=50%2026.050.1020.1710.1630.1020.1560.1710.1660.1730.165—————————
Model-based bootstrap with pivot CIn=50, Episode length T=50, Nominal coverage=50%2026.050.10.2340.1910.10.1810.2510.1540.1610.176—————————
Model-based bootstrap with pivot CIn=100, Nominal Coverage=90%, Episode Length (T)=102026.050.0980.3640.106———————————————