Journal of Mathematics

Research Article

Statistical Analysis Based on Progressive Type-I Censored Scheme from Alpha Power Exponential Distribution with Engineering and Medical Applications

Table 6

Two-sided 95% asymptotic/credible intervals (first-line) with their lengths (second-line) of , , , and for an electrical appliances dataset.
SchemeParameterAsymptoticCredible
NALog-NABCIHPD
I(0.0000, 1.7695) 1.7695(0.0004, 151.74) 151.74(0.1248, 1.2378) 1.1130(0.0732, 1.1376) 1.0644
(0.0000, 0.5306) 0.7471(0.0146, 1.6946) 1.6800(0.1153, 0.3588) 0.2435(0.1129, 0.3562) 0.2432
(0.6663, 0.8390) 0.1727(0.6711, 0.8441) 0.1730(0.6691, 0.8293) 0.1602(0.6765, 0.8342) 0.1577
(0.1693, 0.3765) 0.2073(0.1867, 0.3990) 0.2123(0.1849, 0.3901) 0.2052(0.1785, 0.3799) 0.2014
II(0.0000, 0.8608) 0.8608(0.0008, 24.213) 24.212(0.1053, 0.9119) 0.8066(0.1026, 0.9076) 0.8049
(0.0000, 0.2475) 0.2475(0.0138, 0.5496) 0.5358(0.0663, 0.2246) 0.1584(0.0605, 0.2174) 0.1570
(0.7471, 0.9011) 0.1539(0.7506, 0.9048) 0.1542(0.7520, 0.8914) 0.1394(0.7526, 0.8918) 0.1393
(0.0998, 0.2762) 0.1763(0.1176, 0.3005) 0.1829(0.1137, 0.2768) 0.1631(0.1127, 0.2753) 0.1627
III(0.0000, 0.8462) 0.8462(0.0009, 22.099) 22.098(0.2245, 0.8563) 0.6318(0.2163, 0.8446) 0.6283
(0.0000, 0.2410) 0.2410(0.0140, 0.5247) 0.5107(0.0801, 0.2214) 0.1413(0.0799, 0.2211) 0.1412
(0.7504, 0.9024) 0.1520(0.7538, 0.9061) 0.1523(0.7580, 0.8886) 0.1306(0.7575, 0.8877) 0.1303
(0.0984, 0.2722) 0.1738(0.1159, 0.2962) 0.1803(0.1167, 0.2694) 0.1528(0.1171, 0.2696) 0.1525
IV(0.0000, 2.5295) 2.5295(0.0494, 9.7558) 9.7063(0.6021, 1.1718) 0.5697(0.5841, 1.1497) 0.5656
(0.0421, 0.6925) 0.6504(0.1515, 0.8904) 0.7389(0.2837, 0.4776) 0.1939(0.2921, 0.4837) 0.1915
(0.5490, 0.7569) 0.2079(0.5569, 0.7656) 0.2087(0.5870, 0.7344) 0.1474(0.5867, 0.7341) 0.1474
(0.2935, 0.5377) 0.2442(0.3098, 0.5576) 0.2478(0.3061, 0.5163) 0.2102(0.3086, 0.5180) 0.2093
V(0.0000, 4.3799) 4.3799(0.4206, 7.6113) 7.1907(1.5587, 2.0193) 0.4607(1.5609, 2.0201) 0.4592
(0.3209, 0.7223) 0.4014(0.3550, 0.7664) 0.4114(0.4207, 0.6385) 0.2179(0.4185, 0.6354) 0.2169
(0.5599, 0.7642) 0.2043(0.5673, 0.7725) 0.2051(0.5989, 0.7204) 0.1215(0.6022, 0.7232) 0.1210
(0.3132, 0.5602) 0.2470(0.3291, 0.5794) 0.2503(0.3453, 0.5462) 0.2009(0.3402, 0.5390) 0.1988