Table 5 MSE, length and coverage probability (CP) of estimates for the parameter\(\alpha _{1}\).

From: Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution

\(\left( n,m\right)\)	r	(\(R_{1,.....,}R_{r}\))	MLE			SEL	LINEX			Length	CP
\(\left( n,m\right)\)	r	(\(R_{1,.....,}R_{r}\))	MSE	Length	CP	SEL	\(\ \ c=-2\)	\(c=0.0001\)	\(\ \ \ c=2\)	Length	CP
\(\left( 10,10\right)\)	5	(15, 0, 0, 0, 0)	0.1758	1.1854	0.9592	0.1758	0.1758	0.1758	0.0063	0.0063	0.9502
		(0, 0, 10, 5, 0)	0.2664	1.9661	0.9671	0.267	0.267	0.267	0.121	0.0092	0.9642
		(0, 0, 0, 0, 15)	0.221	1.8549	0.9327	0.2222	0.2222	0.2222	0.213	0.0086	0.9430
	10	\((10,0_{(9)})\)	0.0401	0.7515	0.9713	0.0401	0.0401	0.0401	0.011	0.0047	0.9355
		\((0_{(5)},10,0_{(4)})\)	0.2435	1.0708	0.9559	0.2431	0.2431	0.2431	0.144	0.0047	0.9306
		\((0_{(9)},10)\)	0.1554	0.9049	0.9470	0.1553	0.1553	0.1553	0.1055	0.0041	0.9391
\(\left( 10,20\right)\)	15	(15,0\(_{(14)})\)	0.1909	0.8929	0.9684	0.1908	0.1908	0.1908	0.1708	0.0042	0.9319
		(0\(_{(6)},15,0_{(8)}\))	0.1907	0.951	0.9428	0.1899	0.1899	0.1899	0.1589	0.0049	0.9265
		(0\(_{(14)},15\))	0.2092	0.9846	0.9633	0.2089	0.2089	0.2089	0.1089	0.0045	0.9689
\(\left( 10,20\right)\)	20	(10,0\(_{(19)})\)	0.2325	0.8856	0.9747	0.2324	0.2324	0.2324	0.1324	0.0038	0.9581
		(0\(_{(9)},10,0_{(10)}\))	0.2422	0.9387	0.9470	0.2415	0.2415	0.2415	0.2241	0.004	0.9552
		(0\(_{(19)},10\))	0.3419	0.993	0.9536	0.3412	0.3412	0.3412	0.3012	0.004	0.9652
(20,30)	20	(30,0\(_{(19)}\))	0.1799	0.7279	0.9527	0.1799	0.1799	0.1799	0.1579	0.0037	0.9320
		(0\(_{(9)},30,\)0\(_{(10)}\))	0.1715	0.7251	0.9266	0.171	0.171	0.171	0.156	0.0036	0.9475
		(0\(_{(19)},30)\)	0.2313	0.8595	0.9443	0.2307	0.2307	0.2307	0.2105	0.004	0.9737
(20,30)	30	(20,0\(_{(29)}\))	0.1996	0.6248	0.9529	0.1995	0.1995	0.1995	0.1785	0.0029	0.9420
		(0\(_{(19)},20,\)0\(_{(10)}\))	0.1927	0.5973	0.9698	0.1931	0.1931	0.1931	0.1832	0.0027	0.9677
		(0\(_{(29)},20)\)	0.2358	0.6338	0.9433	0.2359	0.2359	0.2359	0.2148	0.0027	0.9668
(30,20)	30	(20,0\(_{(29)}\))	0.1804	0.4823	0.9616	0.1804	0.1804	0.1804	0.1503	0.0022	0.93516
		(0\(_{(19)},20,\)0\(_{(10)}\))	0.1468	0.4403	0.9563	0.147	0.147	0.147	0.132	0.0022	0.9683
		(0\(_{(29)},20)\)	0.1193	0.4259	0.9520	0.1193	0.1193	0.1193	0.1134	0.0021	0.9364
(30,20)	40	(10,0\(_{(39)})\)	0.2047	0.4454	0.9380	0.2046	0.2046	0.2046	0.1948	0.002	0.9269
		(0\(_{(19)},10,0_{(20)}\))	0.1837	0.4154	0.9269	0.1835	0.1835	0.1835	0.1354	0.0018	0.9593
		(0\(_{(39)},10\))	0.1694	0.3984	0.9650	0.1694	0.1694	0.1694	0.1253	0.0019	0.9354

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Table 5 MSE, length and coverage probability (CP) of estimates for the parameter\(\alpha _{1}\).

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