Research Article
A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring
Table 4
The CPs and AILs of the confidence intervals for unknown parameters (
).
| | Scheme | CP (AIL) | | | | | | | | |
| | (30,10,15) | 1 | MLE | 84.7 (0.2892) | 84.7 (0.3312) | 84.4 (0.2763) | 85.1 (0.3762) | 85.2 (0.2195) | 84.6 (0.2953) | 84.7 (0.2682) | 85.8 (0.3152) | | Bayes | 88.1 (0.2768) | 87.1 (0.3198) | 88.1 (0.2684) | 88.7 (0.3638) | 89.1 (0.2079) | 90.2 (0.2861) | 88.4 (0.2586) | 89.3 (0.3055) | | 2 | MLE | 84.3 (0.2868) | 84.5 (0.3237) | 85.9 (0.2748) | 85.2 (0.3724) | 85.1 (0.2174) | 84.2 (0.2972) | 84.5 (0.2684) | 85.3 (0.3154) | | Bayes | 87.9 (0.2732) | 88.2 (0.3158) | 89.2 (0.2681) | 88.7 (0.3628) | 89.5 (0.2738) | 90.1 (0.2822) | 88.2 (0.2558) | 89.1 (0.3037) | | 3 | MLE | 84.2 (0.2872) | 84.1 (0.3254) | 85.1 (0.2775) | 85 (0.3713) | 85.2 (0.2174) | 84.9 (0.2961) | 84.4 (0.2653) | 85.3 (0.3171) | | Bayes | 87.2 (0.2752) | 88.1 (0.3149) | 89.1 (0.2669) | 88.1 (0.3652) | 89.4 (0.2044) | 89.9 (0.2846) | 88.2 (0.2393) | 89.2 (0.3024) | | (30,15,20) | 1 | MLE | 86 (0.2675) | 86.3 (0.3084) | 85.2 (0.2569) | 86.5 (0.3546) | 87 (0.1989) | 85.2 (0.2773) | 86.8 (0.2489) | 87 (0.2965) | | Bayes | 90.3 (0.2546) | 89.2 (0.2969) | 89.6 (0.2478) | 89.2 (0.3412) | 90.3 (0.1891) | 91.1 (0.2684) | 89.9 (0.2372) | 91.1 (0.2858) | | 2 | MLE | 85.6 (0.2672) | 85.7 (0.3058) | 86.3 (0.2545) | 87.2 (0.3553) | 86.7 (0.1987) | 86.2 (0.2785) | 85.8 (0.2487) | 87.6 (0.2966) | | Bayes | 89.6 (0.2549) | 90.3 (0.2964) | 89.4 (0.2469) | 89.3 (0.3454) | 90.2 (0.1871) | 91.8 (0.2684) | 89.2 (0.2379) | 90.2 (0.2845) | | 3 | MLE | 85.4 (0.2689) | 85.6 (0.3074) | 86.4 (0.2582) | 86 (0.3591) | 87 (0.2025) | 86.2 (0.2778) | 85.6 (0.2483) | 86.8 (0.2954) | | Bayes | 89.1 (0.2571) | 89.7 (0.2956) | 90.1 (0.2448) | 89.3 (0.3447) | 90.4 (0.1887) | 90.1 (0.2676) | 89.3 (0.2368) | 90.2 (0.2822) | | (40,15,20) | 1 | MLE | 87.4 (0.2527) | 87.7 (0.2873) | 86.1 (0.2366) | 86.8 (0.3362) | 88 (0.1831) | 87.3 (0.2569) | 88 (0.2287) | 89 (0.2778) | | Bayes | 91.4 (0.2376) | 92.1 (0.2765) | 92.9 (0.2264) | 91.1 (0.3254) | 91.6 (0.1683) | 92.6 (0.2488) | 92 (0.2185) | 92.3 (0.2687) | | 2 | MLE | 87 (0.2545) | 86.6 (0.2853) | 88.4 (0.2347) | 88.5 (0.3376) | 88.3 (0.1826) | 88.8 (0.2595) | 87.4 (0.2273) | 89.4 (0.2795) | | Bayes | 91.5 (0.2423) | 92.3 (0.2733) | 91.6 (0.2276) | 91.6 (0.3262) | 91.6 (0.1667) | 92.2 (0.2457) | 91.5 (0.2177) | 92.8 (0.2693) | | 3 | MLE | 87.1 (0.2579) | 86.9 (0.2893) | 87.9 (0.2376) | 88.1 (0.3368) | 88 (0.1852) | 88.1 (0.2548) | 87.2 (0.2297) | 88.7 (0.2762) | | Bayes | 91.1 (0.2425) | 92 (0.2758) | 91.2 (0.2269) | 91.1 (0.3245) | 91.5 (0.1685) | 92.2 (0.2481) | 91.3 (0.2183) | 92.3 (0.2679) | | (40,20,25) | 1 | MLE | 89 (0.2333) | 89 (0.2736) | 88 (0.2149) | 88.3 (0.3258) | 90 (0.1684) | 89.6 (0.2335) | 90 (0.2142) | 90.2 (0.2611) | | Bayes | 94.2 (0.2273) | 94.1 (0.2543) | 94.5 (0.2076) | 93.5 (0.3062) | 94.1 (0.1482) | 94.2 (0.2246) | 93.3 (0.1964) | 93.2 (0.2563) | | 2 | MLE | 89.5 (0.2362) | 89 (0.2698) | 89.5 (0.2182) | 89.5 (0.3221) | 89.2 (0.1651) | 89.8 (0.2361) | 89 (0.2138) | 91 (0.2578) | | Bayes | 94.4 (0.2256) | 94.9 (0.2577) | 94.8 (0.2086) | 94.3 (0.3076) | 93.9 (0.1463) | 94.8 (0.2265) | 93.5 (0.1967) | 94.4 (0.2467) | | 3 | MLE | 89.3 (0.2344) | 88.2 (0.2756) | 89.2 (0.2226) | 89.3 (0.3221) | 89.7 (0.1692) | 89.7 (0.2368) | 88.7 (0.2139) | 89.9 (0.2572) | | Bayes | 94.3 (0.2272) | 94.8 (0.2566) | 94 (0.2077) | 94.3 (0.3089) | 93.3 (0.1469) | 94.1 (0.2344) | 93.3 (0.1987) | 94.1 (0.2452) | | (50,20,25) | 1 | MLE | 90.9 (0.2166) | 89.9 (0.2547) | 89.9 (0.2051) | 89.5 (0.3089) | 90.8 (0.1474) | 90.8 (0.2148) | 91.8 (0.1989) | 91.3 (0.248) | | Bayes | 95.7 (0.2066) | 96.1 (0.2342) | 95.6 (0.1878) | 95 (0.2854) | 96.8 (0.1324) | 95.9 (0.2078) | 95.2 (0.1732) | 95.1 (0.2283) | | 2 | MLE | 90.8 (0.2185) | 89.2 (0.2532) | 90.7 (0.2025) | 90.2 (0.3097) | 90.9 (0.1442) | 90.1 (0.2176) | 90.8 (0.1942) | 91.7 (0.2423) | | Bayes | 95.2 (0.2068) | 96.2 (0.2338) | 95.8 (0.1853) | 97.8 (0.2887) | 96.2 (0.1292) | 96.7 (0.2083) | 97.8 (0.1784) | 96.4 (0.2256) | | 3 | MLE | 90.5 (0.2169) | 89.1 (0.2541) | 90.2 (0.2015) | 90.1 (0.3076) | 90.3 (0.1458) | 90.1 (0.2234) | 90.1 (0.1935) | 91.1 (0.2373) | | Bayes | 95.1 (0.2089) | 96.1 (0.2429) | 95.2 (0.1871) | 97 (0.2895) | 96.4 (0.1282) | 96.3 (0.2143) | 96.8 (0.1763) | 96.3 (0.2245) | | (50,25,30) | 1 | MLE | 92.7 (0.1967) | 91.7 (0.2357) | 91.6 (0.1879) | 92.1 (0.2865) | 91.5 (0.1263) | 91.6 (0.1971) | 92.4 (0.1784) | 93 (0.2266) | | Bayes | 97.1 (0.1866) | 97.8 (0.2151) | 97.7 (0.1657) | 97.9 (0.2648) | 98.3 (0.1132) | 97.9 (0.1843) | 98.4 (0.1579) | 97.8 (0.2058) | | 2 | MLE | 91.6 (0.1971) | 91.4 (0.2356) | 92.6 (0.1857) | 92.2 (0.2859) | 92.5 (0.1287) | 92.4 (0.1954) | 92.8 (0.1784) | 93.5 (0.2283) | | Bayes | 97.6 (0.1832) | 97.3 (0.2152) | 97.5 (0.1669) | 98 (0.2666) | 98.6 (0.1187) | 97.5 (0.1824) | 98.7 (0.1576) | 97.8 (0.2073) | | 3 | MLE | 91.4 (0.1978) | 91.2 (0.2352) | 92.1 (0.1834) | 92.2 (0.2858) | 92.1 (0.1266) | 92.2 (0.2026) | 92.1 (0.1728) | 93.2 (0.2134) | | Bayes | 97.5 (0.1852) | 97.1 (0.2276) | 97.9 (0.1653) | 98.1 (0.2673) | 97.5 (0.1142) | 97.1 (0.1945) | 98 (0.1575) | 97.8 (0.2065) |
|
|
