Research Article
A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring
Table 5
The CPs and AILs of the confidence intervals for unknown parameters (
).
| | Scheme | CP (AIL) | | | | | | | | |
| | (30,10,15) | 1 | MLE | 84.7 (0.2886) | 84.3 (0.3294) | 84.3 (0.2739) | 84.9 (0.3737) | 85.2 (0.2186) | 84.5 (0.2922) | 84.3 (0.2662) | 85.1 (0.3135) | | Bayes | 88.1 (0.2737) | 87.3 (0.3177) | 87.9 (0.2675) | 88.4 (0.3619) | 88.9 (0.2056) | 90.2 (0.2832) | 88.4 (0.2563) | 89.1 (0.3027) | | 2 | MLE | 84.5 (0.2875) | 84.2 (0.3246) | 84.3 (0.2723) | 84.6 (0.3732) | 85.1 (0.2168) | 84.2 (0.2952) | 84.1 (0.269) | 84.8 (0.3172) | | Bayes | 88.1 (0.2755) | 87.1 (0.3168) | 87.6 (0.2659) | 88.2 (0.3625) | 88.2 (0.2027) | 89.7 (0.2821) | 88.2 (0.2528) | 89.2 (0.3018) | | 3 | MLE | 84.3 (0.2881) | 84.2 (0.3239) | 84.2 (0.2751) | 84.4 (0.3702) | 85 (0.2189) | 84.1 (0.297) | 84.2 (0.2611) | 84.6 (0.3138) | | Bayes | 88.1 (0.2748) | 87.3 (0.3127) | 87.4 (0.2666) | 88.1 (0.3622) | 88.1 (0.1989) | 89.5 (0.2812) | 88.3 (0.2532) | 89.1 (0.3015) | | (30,15,20) | 1 | MLE | 85.7 (0.2694) | 86.2 (0.3076) | 85.8 (0.2577) | 86.2 (0.3544) | 86.5 (0.1999) | 86.2 (0.2785) | 85.3 (0.2478) | 86.9 (0.2948) | | Bayes | 90.5 (0.2569) | 89.1 (0.2965) | 89.6 (0.2485) | 89.1 (0.3426) | 90.1 (0.1885) | 90.1 (0.2676) | 89.4 (0.2388) | 90.1 (0.2869) | | 2 | MLE | 85.5 (0.2684) | 86.1 (0.3065) | 85.7 (0.2588) | 86.4 (0.3589) | 86.4 (0.1997) | 86.1 (0.2797) | 86 (0.2481) | 86.2 (0.2987) | | Bayes | 90.2 (0.2596) | 89.3 (0.2974) | 89.6 (0.2486) | 89 (0.3456) | 90 (0.1864) | 90.1 (0.2679) | 89.3 (0.2356) | 90.1 (0.2852) | | 3 | MLE | 85.4 (0.2702) | 86.1 (0.3096) | 85.7 (0.2571) | 86.2 (0.3605) | 89.3 (0.2041) | 86.2 (0.2798) | 85.8 (0.2495) | 86.2 (0.2962) | | Bayes | 90 (0.2583) | 89.2 (0.2977) | 89.3 (0.2463) | 88.8 (0.3414) | 89.9 (0.1887) | 90.1 (0.2675) | 89.2 (0.2369) | 90.2 (0.283) | | (40,15,20) | 1 | MLE | 87.2 (0.2513) | 87.3 (0.2888) | 86.7 (0.2369) | 86.7 (0.3377) | 87.9 (0.1812) | 87.3 (0.2589) | 87.6 (0.2277) | 88.5 (0.2765) | | Bayes | 91.2 (0.2426) | 91.6 (0.2713) | 92.6 (0.2296) | 91 (0.3249) | 91.4 (0.1697) | 92.4 (0.2484) | 91.9 (0.2197) | 92.2 (0.2696) | | 2 | MLE | 87.2 (0.2537) | 87.2 (0.2876) | 86.3 (0.2318) | 87.8 (0.3399) | 87.8 (0.1807) | 87.2 (0.2596) | 87.5 (0.2298) | 88.2 (0.2787) | | Bayes | 91.1 (0.2419) | 91.2 (0.2737) | 92.7 (0.2278) | 91 (0.3232) | 91.2 (0.1687) | 92.4 (0.2437) | 91.7 (0.2189) | 92 (0.2683) | | 3 | MLE | 87 (0.2562) | 87.1 (0.2908) | 86.1 (0.2396) | 87.7 (0.3356) | 87.8 (0.1874) | 87.2 (0.2585) | 87.5 (0.2303) | 88.2 (0.2785) | | Bayes | 90.9 (0.2412) | 91.2 (0.2765) | 92.1 (0.2257) | 90.8 (0.3275) | 91.2 (0.1667) | 92.2 (0.2493) | 91.7 (0.2141) | 92 (0.2625) | | (40,20,25) | 1 | MLE | 88.6 (0.2346) | 88.9 (0.2724) | 87.9 (0.2184) | 88.2 (0.3212) | 89.5 (0.1686) | 89.4 (0.2342) | 89.1 (0.2139) | 90.1 (0.2601) | | Bayes | 93.8 (0.2265) | 94 (0.2584) | 94.3 (0.2093) | 93.2 (0.3086) | 94.1 (0.1499) | 94.1 (0.2253) | 93.7 (0.1997) | 94 (0.2579) | | 2 | MLE | 88.4 (0.2369) | 88.7 (0.2692) | 87.9 (0.2193) | 88.3 (0.3215) | 89.2 (0.1677) | 89.3 (0.2372) | 89.1 (0.2104) | 90 (0.2597) | | Bayes | 93.8 (0.2273) | 93.9 (0.2595) | 94.4 (0.2091) | 93.1 (0.3093) | 93.9 (0.1476) | 94 (0.2295) | 93.4 (0.1999) | 93.8 (0.2448) | | 3 | MLE | 88.4 (0.235) | 88.7 (0.2719) | 87.8 (0.2219) | 88 (0.3241) | 89.2 (0.1685) | 89.3 (0.2393) | 89 (0.2123) | 89.6 (0.2587) | | Bayes | 93.4 (0.2286) | 93.9 (0.2598) | 94.2 (0.2085) | 93.3 (0.3108) | 93.8 (0.1439) | 93.8 (0.2314) | 93.3 (0.1979) | 93.6 (0.2436) | | (50,20,25) | 1 | MLE | 90.5 (0.2164) | 89.6 (0.2561) | 89.6 (0.2048) | 90.1 (0.3099) | 90.3 (0.1474) | 90.5 (0.2186) | 91.4 (0.1964) | 91.3 (0.2486) | | Bayes | 95.4 (0.2072) | 96.1 (0.2337) | 95.6 (0.1853) | 95.1 (0.2876) | 96.3 (0.1314) | 95.4 (0.2089) | 95.1 (0.1776) | 95 (0.2243) | | 2 | MLE | 90.3 (0.2195) | 89.5 (0.2517) | 89.5 (0.2015) | 90 (0.3093) | 90.1 (0.1481) | 90.1 (0.2192) | 91.4 (0.1947) | 91.2 (0.2401) | | Bayes | 95.4 (0.2095) | 95.8 (0.2359) | 95.3 (0.1877) | 95 (0.2892) | 96.2 (0.1287) | 95.3 (0.2107) | 95.1 (0.1795) | 95 (0.2261) | | 3 | MLE | 90.2 (0.2167) | 89.5 (0.2538) | 89.4 (0.2029) | 89.5 (0.3085) | 89.7 (0.1497) | 90.1 (0.2213) | 91.3 (0.1942) | 91.2 (0.2389) | | Bayes | 94.3 (0.2104) | 95.3 (0.2413) | 95.2 (0.1895) | 95 (0.2886) | 96.1 (0.1274) | 95.2 (0.2171) | 95.1 (0.1778) | 94.9 (0.2216) | | (50,25,30) | 1 | MLE | 92.7 (0.1987) | 91.4 (0.2356) | 91.3 (0.1864) | 92.6 (0.2885) | 91.4 (0.1237) | 92.3 (0.1993) | 92.3 (0.1763) | 93 (0.224) | | Bayes | 97.1 (0.1857) | 97.3 (0.2134) | 97.2 (0.1646) | 97.2 (0.2661) | 98.2 (0.1114) | 97.5 (0.1856) | 98.4 (0.1575) | 97.8 (0.2037) | | 2 | MLE | 92.6 (0.1972) | 91.4 (0.2364) | 91.1 (0.1876) | 92.4 (0.2869) | 91.4 (0.1261) | 92.2 (0.1927) | 92.2 (0.1769) | 92.8 (0.2222) | | Bayes | 97.1 (0.1829) | 97.3 (0.2155) | 97.2 (0.1655) | 97.1 (0.2658) | 98.2 (0.1142) | 97.4 (0.1887) | 98.3 (0.1586) | 97.8 (0.2062) | | 3 | MLE | 92.6 (0.1957) | 91.4 (0.2357) | 91.1 (0.1835) | 92.4 (0.2886) | 91.4 (0.1274) | 92.2 (0.2013) | 92.2 (0.1733) | 92.8 (0.2162) | | Bayes | 97.8 (0.1848) | 97.3 (0.2258) | 97.2 (0.1642) | 97.1 (0.2679) | 98.2 (0.1145) | 97.4 (0.1923) | 98.3 (0.1566) | 97.8 (0.2045) |
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