Interval Estimation of Stress-Strength Reliability Based on Lower Record Values from Inverse Rayleigh Distribution

Table 2

Expected lengths and coverage rates (in parentheses) of the confidence intervals with .

			ML	Bayes	J.B	E.B	Norm	Basic	Perc
5	5	0.1	0.223 (0.890)	0.343 (0.504)	0.224 (0.895)	0.159 (0.766)	0.235 (0.900)	0.223 (0.782)	0.223 (0.890)
5	5	0.25	0.378 (0.908)	0.359 (0.632)	0.383 (0.892)	0.284 (0.775)	0.385 (0.868)	0.378 (0.768)	0.378 (0.908)
5	5	0.5	0.460 (0.897)	0.369 (0.961)	0.462 (0.912)	0.351 (0.784)	0.461 (0.832)	0.460 (0.746)	0.460 (0.895)
5	10	0.1	0.180 (0.899)	0.288 (0.650)	0.183 (0.890)	0.145 (0.804)	0.213 (0.931)	0.200 (0.819)	0.200 (0.892)
5	10	0.25	0.331 (0.910)	0.320 (0.744)	0.329 (0.901)	0.265 (0.802)	0.356 (0.894)	0.350 (0.808)	0.350 (0.892)
5	10	0.5	0.411 (0.897)	0.342 (0.951)	0.411 (0.904)	0.330 (0.799)	0.410 (0.846)	0.409 (0.778)	0.409 (0.893)
5	15	0.1	0.171 (0.895)	0.255 (0.733)	0.171 (0.895)	0.139 (0.803)	0.209 (0.936)	0.197 (0.834)	0.197 (0.879)
5	15	0.25	0.309 (0.894)	0.299 (0.797)	0.310 (0.910)	0.255 (0.837)	0.341 (0.881)	0.334 (0.819)	0.334 (0.879)
5	15	0.5	0.392 (0.900)	0.328 (0.938)	0.391 (0.902)	0.318 (0.812)	0.389 (0.845)	0.389 (0.793)	0.389 (0.883)
10	5	0.1	0.190 (0.890)	0.305 (0.492)	0.191 (0.907)	0.135 (0.805)	0.175 (0.869)	0.169 (0.785)	0.169 (0.889)
10	5	0.25	0.341 (0.895)	0.319 (0.588)	0.340 (0.900)	0.253 (0.795)	0.323 (0.848)	0.320 (0.796)	0.320 (0.886)
10	5	0.5	0.411 (0.900)	0.330 (0.950)	0.410 (0.899)	0.317 (0.792)	0.410 (0.852)	0.410 (0.786)	0.410 (0.892)
10	10	0.1	0.145 (0.901)	0.246 (0.611)	0.145 (0.898)	0.120 (0.834)	0.150 (0.907)	0.145 (0.832)	0.145 (0.895)
10	10	0.25	0.276 (0.897)	0.277 (0.705)	0.274 (0.905)	0.231 (0.848)	0.278 (0.885)	0.276 (0.834)	0.276 (0.898)
10	10	0.5	0.344 (0.897)	0.298 (0.934)	0.344 (0.904)	0.293 (0.835)	0.344 (0.862)	0.344 (0.825)	0.344 (0.898)
10	15	0.1	0.129 (0.899)	0.212 (0.655)	0.130 (0.900)	0.112 (0.844)	0.139 (0.913)	0.134 (0.839)	0.134 (0.900)
10	15	0.25	0.248 (0.895)	0.254 (0.750)	0.250 (0.892)	0.182 (0.853)	0.256 (0.882)	0.253 (0.834)	0.253 (0.896)
10	15	0.5	0.318 (0.903)	0.282 (0.915)	0.318 (0.896)	0.278 (0.850)	0.318 (0.876)	0.318 (0.847)	0.318 (0.904)
15	5	0.1	0.182 (0.913)	0.286 (0.407)	0.179 (0.898)	0.125 (0.785)	0.159 (0.878)	0.155 (0.814)	0.155 (0.897)
15	5	0.25	0.321 (0.903)	0.300 (0.530)	0.323 (0.889)	0.238 (0.763)	0.295 (0.850)	0.293 (0.800)	0.293 (0.884)
15	5	0.5	0.391 (0.893)	0.311 (0.951)	0.390 (0.884)	0.299 (0.773)	0.390 (0.841)	0.389 (0.789)	0.389 (0.878)
15	10	0.1	0.133 (0.899)	0.227 (0.501)	0.134 (0.894)	0.111 (0.836)	0.131 (0.897)	0.128 (0.844)	0.128 (0.896)
15	10	0.25	0.251 (0.881)	0.255 (0.674)	0.250 (0.891)	0.212 (0.831)	0.247 (0.865)	0.245 (0.827)	0.245 (0.888)
15	10	0.5	0.317 (0.896)	0.277 (0.935)	0.318 (0.907)	0.273 (0.852)	0.317 (0.862)	0.317 (0.820)	0.317 (0.897)
15	15	0.1	0.115 (0.899)	0.193 (0.620)	0.116 (0.904)	0.102 (0.858)	0.118 (0.913)	0.115 (0.859)	0.115 (0.898)
15	15	0.25	0.225 (0.906)	0.231 (0.738)	0.224 (0.900)	0.199 (0.852)	0.226 (0.890)	0.225 (0.858)	0.225 (0.905)
15	15	0.5	0.287 (0.901)	0.258 (0.927)	0.287 (0.905)	0.256 (0.871)	0.286 (0.872)	0.287 (0.840)	0.287 (0.898)