A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring

Table 2

The MLEs and MSEs for the unknown parameters ().

	Scheme	Estimator (MSE)
(30,10,15)	1	MLE	0.3702 (0.0998)	0.7014 (0.1089)	0.5158 (0.1067)	0.8842 (0.1274)	0.2689 (0.0873)	0.5969 (0.1081)	0.4376 (0.0967)	0.6534 (0.1093)
		Bayes	0.3498 (0.0884)	0.6912 (0.0987)	0.5036 (0.0957)	0.8775 (0.1054)	0.2517 (0.0782)	0.5784 (0.0975)	0.4128 (0.0897)	0.6232 (0.0972)
	2	MLE	0.3668 (0.0987)	0.7012 (0.1047)	0.5178 (0.1017)	0.8834 (0.1276)	0.2687 (0.0879)	0.5975 (0.1077)	0.4377 (0.0999)	0.6513 (0.1099)
		Bayes	0.3484 (0.0825)	0.6841 (0.0989)	0.4878 (0.0935)	0.6279 (0.1053)	0.2512 (0.0785)	0.5765 (0.0978)	0.4086 (0.0899)	0.6235 (0.0974)
	3	MLE	0.3677 (0.1017)	0.7005 (0.1089)	0.5175 (0.1019)	0.8832 (0.1259)	0.2669 (0.0957)	0.5999 (0.1076)	0.4372 (0.0972)	0.6511 (0.1075)
		Bayes	0.3489 (0.0822)	0.6817 (0.0988)	0.4976 (0.0932)	0.8536 (0.1061)	0.2511 (0.0791)	0.5766 (0.0977)	0.4095 (0.0895)	0.6231 (0.0979)
(30,15,20)	1	MLE	0.3515 (0.0879)	0.6895 (0.0992)	0.4996 (0.0972)	0.6333 (0.1162)	0.2574 (0.0783)	0.5873 (0.0989)	0.4232 (0.0891)	0.4513 (0.0978)
		Bayes	0.3378 (0.0795)	0.6789 (0.0907)	0.4879 (0.0889)	0.8489 (0.0992)	0.2486 (0.0699)	0.5703 (0.0838)	0.4036 (0.0817)	0.6177 (0.0897)
	2	MLE	0.3484 (0.0875)	0.6884 (0.0992)	0.5018 (0.0977)	0.8699 (0.1164)	0.2543 (0.0791)	0.5884 (0.0985)	0.4259 (0.0888)	0.6417 (0.0981)
		Bayes	0.3355 (0.0784)	0.6747 (0.0906)	0.4857 (0.0888)	0.8481 (0.0987)	0.2453 (0.0697)	0.5654 (0.0832)	0.4003 (0.0818)	0.6158 (0.0894)
	3	MLE	0.3477 (0.0878)	0.6876 (0.0998)	0.5024 (0.0975)	0.8696 (0.1164)	0.2565 (0.0787)	0.5886 (0.0997)	0.4257 (0.0895)	0.6413 (0.0982)
		Bayes	0.3355 (0.0794)	0.6725 (0.0905)	0.4787 (0.0884)	0.8452 (0.0987)	0.2457 (0.0695)	0.5655 (0.0844)	0.3988 (0.0819)	0.6139 (0.0893)
(40,15,20)	1	MLE	0.3379 (0.0816)	0.6712 (0.0939)	0.4916 (0.0871)	0.8559 (0.1027)	0.2416 (0.0725)	0.5753 (0.0894)	0.4118 (0.0829)	0.6313 (0.0882)
		Bayes	0.3255 (0.0711)	0.6689 (0.0847)	0.4685 (0.0768)	0.8354 (0.0915)	0.2398 (0.0604)	0.5596 (0.0775)	0.3975 (0.0753)	0.6166 (0.0811)
	2	MLE	0.337 (0.0808)	0.6775 (0.0936)	0.4886 (0.0883)	0.8594 (0.1031)	0.2487 (0.0727)	0.5764 (0.0881)	0.4119 (0.0831)	0.6327 (0.0871)
		Bayes	0.3273 (0.0716)	0.6672 (0.0852)	0.4694 (0.0769)	0.8376 (0.0917)	0.2369 (0.0609)	0.5581 (0.0772)	0.3876 (0.0772)	0.6165 (0.0817)
	3	MLE	0.3378 (0.0816)	0.6786 (0.0932)	0.4878 (0.0894)	0.8593 (0.1029)	0.2468 (0.0728)	0.5763 (0.0895)	0.4101 (0.0821)	0.6368 (0.0897)
		Bayes	0.3288 (0.0714)	0.6691 (0.0859)	0.4691 (0.0762)	0.8378 (0.0919)	0.2371 (0.0612)	0.5568 (0.0778)	0.3893 (0.0768)	0.6045 (0.0813)
(40,20,25)	1	MLE	0.325 (0.0764)	0.6611 (0.0849)	0.4768 (0.0779)	0.8438 (0.0945)	0.2359 (0.0679)	0.5667 (0.0812)	0.3964 (0.0785)	0.6269 (0.0811)
		Bayes	0.3143 (0.0656)	0.6571 (0.0776)	0.4623 (0.0682)	0.8294 (0.0897)	0.2252 (0.0587)	0.5508 (0.0705)	0.3758 (0.0711)	0.6044 (0.0732)
	2	MLE	0.3255 (0.0762)	0.669 (0.0843)	0.4758 (0.0771)	0.8493 (0.0951)	0.2375 (0.0682)	0.5674 (0.0815)	0.4044 (0.0794)	0.6277 (0.0809)
		Bayes	0.3155 (0.0657)	0.6549 (0.0779)	0.4589 (0.0687)	0.8283 (0.0892)	0.2275 (0.0583)	0.5496 (0.0702)	0.3779 (0.0713)	0.6036 (0.0735)
	3	MLE	0.3235 (0.0764)	0.6673 (0.0858)	0.4686 (0.0773)	0.8392 (0.0953)	0.2388 (0.0681)	0.5647 (0.0811)	0.3988 (0.0789)	0.6249 (0.0809)
		Bayes	0.3153 (0.0653)	0.6585 (0.0778)	0.4578 (0.0684)	0.8254 (0.0893)	0.2369 (0.0585)	0.5486 (0.0708)	0.3764 (0.0712)	0.5984 (0.0736)
(50,20,25)	1	MLE	0.3053 (0.0635)	0.6538 (0.0758)	0.4655 (0.0661)	0.8281 (0.0863)	0.2268 (0.0584)	0.5466 (0.0718)	0.3861 (0.0681)	0.6129 (0.0711)
		Bayes	0.2944 (0.0558)	0.6406 (0.0675)	0.4438 (0.0578)	0.8192 (0.0783)	0.2181 (0.0511)	0.5324 (0.0625)	0.3666 (0.0609)	0.5893 (0.0633)
	2	MLE	0.3049 (0.0631)	0.6596 (0.0757)	0.4739 (0.0663)	0.8295 (0.0859)	0.2254 (0.0587)	0.5542 (0.0714)	0.3913 (0.0682)	0.6128 (0.0717)
		Bayes	0.2963 (0.0554)	0.6393 (0.0681)	0.4475 (0.0576)	0.8186 (0.0787)	0.2188 (0.0513)	0.5337 (0.0626)	0.3651 (0.0607)	0.585 (0.0631)
	3	MLE	0.3099 (0.0633)	0.6545 (0.0754)	0.4669 (0.0664)	0.8288 (0.0862)	0.2283 (0.0586)	0.5546 (0.0716)	0.3889 (0.0683)	0.6137 (0.0719)
		Bayes	0.2989 (0.0552)	0.6379 (0.0678)	0.4461 (0.0575)	0.8187 (0.0785)	0.2185 (0.059)	0.5348 (0.0624)	0.3666 (0.0608)	0.5881 (0.0632)
(50,25,30)	1	MLE	0.2892 (0.0512)	0.6438 (0.0642)	0.4551 (0.0518)	0.8189 (0.0778)	0.2164 (0.0487)	0.5377 (0.0614)	0.3747 (0.0528)	0.6085 (0.0684)
		Bayes	0.2876 (0.0419)	0.6368 (0.0565)	0.4329 (0.0509)	0.8029 (0.0695)	0.2089 (0.0409)	0.5248 (0.0512)	0.3586 (0.0482)	0.5784 (0.0537)
	2	MLE	0.2902 (0.0511)	0.6437 (0.0639)	0.4548 (0.0517)	0.8173 (0.0776)	0.2174 (0.0485)	0.5393 (0.0618)	0.3773 (0.0527)	0.6072 (0.0681)
		Bayes	0.2851 (0.0411)	0.6369 (0.0567)	0.4356 (0.0502)	0.8063 (0.0697)	0.2074 (0.0408)	0.5245 (0.0513)	0.3592 (0.0485)	0.5788 (0.0535)
	3	MLE	0.2874 (0.0513)	0.6487 (0.0641)	0.4548 (0.0514)	0.8186 (0.0777)	0.2187 (0.0488)	0.5383 (0.0612)	0.3773 (0.0525)	0.6087 (0.0686)
		Bayes	0.2736 (0.0418)	0.6295 (0.0561)	0.4373 (0.0508)	0.8059 (0.0695)	0.2077 (0.0411)	0.5259 (0.0516)	0.3603 (0.0484)	0.5778 (0.0536)