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

Table 3

The MLEs and MSEs for the unknown parameters ().

	Scheme	Estimator (MSE)
(30,10,15)	1	MLE	0.3686 (0.0954)	0.7009 (0.1027)	0.5129 (0.1015)	0.8813 (0.1257)	0.2615 (0.0864)	0.5946 (0.1074)	0.4346 (0.0953)	0.6516 (0.1078)
		Bayes	0.3488 (0.0818)	0.6897 (0.0985)	0.4913 (0.0916)	0.627 (0.1051)	0.2472 (0.0749)	0.5751 (0.0905)	0.4053 (0.0895)	0.6218 (0.0971)
	2	MLE	0.3617 (0.0946)	0.7011 (0.1033)	0.5124 (0.0977)	0.8816 (0.1245)	0.2646 (0.0872)	0.5975 (0.1077)	0.4334 (0.0973)	0.6469 (0.1032)
		Bayes	0.3472 (0.0812)	0.6814 (0.0984)	0.4923 (0.0917)	0.6262 (0.1049)	0.2496 (0.0775)	0.5742 (0.9118)	0.4054 (0.0898)	0.6205 (0.0968)
	3	MLE	0.3662 (0.0996)	0.6977 (0.1034)	0.5117 (0.0966)	0.8792 (0.1247)	0.2668 (0.0899)	0.5984 (0.1073)	0.4346 (0.0959)	0.6493 (0.1013)
		Bayes	0.3439 (0.0811)	0.6798 (0.0981)	0.4933 (0.0914)	0.8524 (0.1056)	0.2493 (0.0765)	0.5741 (0.0969)	0.4051 (0.0899)	0.6218 (0.0964)
(30,15,20)	1	MLE	0.3482 (0.0877)	0.6854 (0.0982)	0.4979 (0.0923)	0.8698 (0.1155)	0.2567 (0.0759)	0.5854 (0.0981)	0.4209 (0.0877)	0.6385 (0.0971)
		Bayes	0.3341 (0.0775)	0.6774 (0.0902)	0.483 (0.0876)	0.844 (0.0989)	0.2457 (0.0664)	0.5695 (0.0821)	0.3962 (0.0812)	0.6149 (0.0886)
	2	MLE	0.3476 (0.0873)	0.6871 (0.984)	0.4939 (0.0926)	0.8679 (0.1157)	0.2532 (0.0782)	0.5845 (0.0981)	0.4206 (0.0876)	0.6395 (0.0978)
		Bayes	0.3317 (0.0772)	0.6715 (0.0903)	0.4819 (0.0875)	0.8475 (0.0985)	0.2439 (0.0667)	0.5642 (0.0822)	0.3959 (0.0819)	0.6139 (0.0883)
	3	MLE	0.3466 (0.0875)	0.6853 (0.0989)	0.4958 (0.0924)	0.8688 (0.1163)	0.2549 (0.0784)	0.5835 (0.0987)	0.4208 (0.0874)	0.6393 (0.0973)
		Bayes	0.3325 (0.0778)	0.6703 (0.0901)	0.4769 (0.0867)	0.8395 (0.0987)	0.2427 (0.0667)	0.5624 (0.0821)	0.3955 (0.0818)	0.6129 (0.0886)
(40,15,20)	1	MLE	0.3355 (0.0812)	0.679 (0.0924)	0.4864 (0.0856)	0.8526 (0.1021)	0.2508 (0.0719)	0.5712 (0.0887)	0.4083 (0.0815)	0.6296 (0.0876)
		Bayes	0.3255 (0.0702)	0.6671 (0.0833)	0.4681 (0.0756)	0.8358 (0.0914)	0.2417 (0.0603)	0.5546 (0.0767)	0.386 (0.0744)	0.6025 (0.0807)
	2	MLE	0.3358 (0.0814)	0.6755 (0.0914)	0.4822 (0.0851)	0.8588 (0.1026)	0.2445 (0.0718)	0.573 (0.0878)	0.4077 (0.0814)	0.6305 (0.0881)
		Bayes	0.3254 (0.0706)	0.6644 (0.0839)	0.4669 (0.0756)	0.8354 (0.0914)	0.2312 (0.0605)	0.5539 (0.0766)	0.3856 (0.0748)	0.6022 (0.0809)
	3	MLE	0.3368 (0.0818)	0.6768 (0.0915)	0.4865 (0.0855)	0.8577 (0.1027)	0.2448 (0.0713)	0.5721 (0.0873)	0.4091 (0.0812)	0.6317 (0.0891)
		Bayes	0.3256 (0.0708)	0.668 (0.0837)	0.4686 (0.0758)	0.833 (0.0911)	0.2348 (0.0607)	0.5537 (0.0763)	0.3879 (0.0748)	0.6027 (0.0811)
(40,20,25)	1	MLE	0.3229 (0.0748)	0.6655 (0.0836)	0.4721 (0.0768)	0.6633 (0.0941)	0.246 (0.0661)	0.4029 (0.0803)	0.2338 (0.0777)	0.471 (0.0802)
		Bayes	0.3123 (0.0644)	0.6523 (0.0765)	0.4579 (0.0675)	0.8257 (0.0885)	0.2335 (0.0579)	0.5483 (0.0696)	0.3727 (0.0705)	0.6018 (0.0731)
	2	MLE	0.3213 (0.0746)	0.6656 (0.0833)	0.473 (0.0766)	0.8479 (0.0949)	0.2365 (0.0669)	0.5621 (0.0801)	0.3973 (0.0772)	0.6262 (0.0808)
		Bayes	0.3127 (0.0642)	0.6502 (0.0762)	0.456 (0.0674)	0.8259 (0.0888)	0.2247 (0.0577)	0.5489 (0.0697)	0.3737 (0.0701)	0.6019 (0.0729)
	3	MLE	0.3215 (0.0746)	0.6625 (0.0839)	0.4767 (0.0767)	0.6692 (0.0952)	0.2361 (0.0662)	0.5628 (0.0809)	0.2324 (0.0774)	0.6212 (0.0801)
		Bayes	0.3141 (0.0641)	0.651 (0.0761)	0.4563 (0.0679)	0.8232 (0.0887)	0.2241 (0.0573)	0.5479 (0.0699)	0.3727 (0.0703)	0.5931 (0.0731)
(50,20,25)	1	MLE	0.3016 (0.0621)	0.6596 (0.0751)	0.4641 (0.0656)	0.8265 (0.0852)	0.2343 (0.0576)	0.5522 (0.0709)	0.3852 (0.0675)	0.6114 (0.0707)
		Bayes	0.2924 (0.0549)	0.6395 (0.0674)	0.4429 (0.0567)	0.8187 (0.0779)	0.2271 (0.0509)	0.5319 (0.0623)	0.364 (0.0605)	0.5807 (0.0629)
	2	MLE	0.3017 (0.0627)	0.6587 (0.0748)	0.3418 (0.0657)	0.8281 (0.0851)	0.2248 (0.0582)	0.5515 (0.0706)	0.3879 (0.0674)	0.6114 (0.0711)
		Bayes	0.2916 (0.0549)	0.6387 (0.0679)	0.4457 (0.0562)	0.8152 (0.0778)	0.2174 (0.0505)	0.5329 (0.0619)	0.3644 (0.0607)	0.5832 (0.0621)
	3	MLE	0.3093 (0.0626)	0.6537 (0.0749)	0.4651 (0.0655)	0.8274 (0.0859)	0.2269 (0.0577)	0.5518 (0.0701)	0.3852 (0.0679)	0.6103 (0.0712)
		Bayes	0.297 (0.0544)	0.6359 (0.0677)	0.4455 (0.0564)	0.8176 (0.0781)	0.2169 (0.0507)	0.5325 (0.0621)	0.3628 (0.0603)	0.5846 (0.0624)
(50,25,30)	1	MLE	0.2828 (0.0508)	0.6414 (0.0639)	0.4527 (0.0511)	0.8164 (0.0761)	0.2251 (0.0471)	0.5362 (0.0607)	0.3724 (0.0511)	0.6059 (0.0681)
		Bayes	0.2752 (0.0407)	0.6345 (0.0563)	0.4318 (0.0507)	0.8033 (0.0688)	0.2169 (0.0404)	0.4379 (0.0508)	0.3552 (0.0479)	0.5742 (0.0524)
	2	MLE	0.2892 (0.0509)	0.6423 (0.0637)	0.4517 (0.0507)	0.8151 (0.0768)	0.2163 (0.0478)	0.5391 (0.0611)	0.3747 (0.0518)	0.4871 (0.0678)
		Bayes	0.273 (0.0403)	0.6233 (0.0561)	0.4312 (0.0509)	0.8016 (0.0685)	0.2046 (0.0405)	0.5216 (0.0509)	0.3585 (0.0482)	0.5762 (0.0531)
	3	MLE	0.2851 (0.0509)	0.6443 (0.0635)	0.4508 (0.0505)	0.815 (0.0769)	0.2152 (0.0477)	0.5377 (0.0609)	0.3755 (0.0517)	0.6072 (0.0682)
		Bayes	0.2716 (0.0406)	0.6276 (0.0558)	0.4352 (0.0506)	0.803 (0.0687)	0.2062 (0.0407)	0.5224 (0.0507)	0.3595 (0.0481)	0.5766 (0.0527)