Table 4 Estimated AVG and MSE under MH, HMC and RMH with fixed values of, \(\tau\) = 5, \(\lambda\) = 1.5, \(\beta\) = 0.9, \(\zeta\) = 1.3, \(\phi\) = 1.75, p = 0.5.

From: Algorithms and approximations for the modified Weibull model under censoring with application to the lifetimes of electrical appliances

n	m	Method		k1=1.5				k1=−1.5
n	m	Method		\(\hat{\lambda }\)	\(\hat{\beta }\)	\(\hat{\zeta }\)	\(\hat{\phi }\)	\(\hat{\lambda }\)	\(\hat{\beta }\)	\(\hat{\zeta }\)	\(\hat{\phi }\)
80	40	MH	AVG	0.9946	0.6347	0.7178	1.1222	1.0726	0.6585	0.7121	1.1030
		MH	MSE	0.3102	0.1330	0.1855	0.2028	0.3133	0.1343	0.1874	0.2048
		HMC	AVG	1.5172	0.4908	0.7014	1.1136	1.5478	0.4957	0.7014	1.1360
		HMC	MSE	0.1937	0.0830	0.1158	0.1266	0.1956	0.0839	0.1170	0.1279
		RMH	AVG	1.0019	0.6305	0.7011	1.1494	1.0612	0.6672	0.6957	1.1771
		RMH	MSE	0.1356	0.0581	0.0811	0.0886	0.1369	0.0587	0.0819	0.0895
	30	MH	AVG	1.5713	0.5132	0.6896	1.1763	1.5559	0.5031	0.7036	1.1998
		MH	MSE	0.3381	0.1449	0.2022	0.2211	0.3415	0.1464	0.2042	0.2232
		HMC	AVG	0.9828	0.6426	0.6935	1.1328	1.0750	0.6601	0.7091	1.1512
		HMC	MSE	0.2111	0.0905	0.1263	0.1380	0.2132	0.0914	0.1275	0.1394
		RMH	AVG	1.5585	0.4927	0.7007	1.1828	1.5740	0.4977	0.6937	1.1828
		RMH	MSE	0.1478	0.0634	0.0884	0.0966	0.1493	0.0640	0.0893	0.0976
	20	MH	AVG	1.0440	0.6174	0.6971	1.1464	1.1257	0.6504	0.7047	1.1530
		MH	MSE	0.3685	0.1579	0.2204	0.2409	0.3722	0.1596	0.2226	0.2433
		HMC	AVG	1.5449	0.4997	0.7048	1.1616	1.5295	0.4899	0.6978	1.1274
		HMC	MSE	0.2301	0.0987	0.1376	0.1504	0.2324	0.0997	0.1390	0.1519
		RMH	AVG	1.0174	0.6389	0.7100	1.1364	1.1009	0.6603	0.7038	1.1322
		RMH	MSE	0.1611	0.0691	0.0963	0.1053	0.1627	0.0698	0.0973	0.1064
150	100	MH	AVG	1.5493	0.4988	0.7166	1.1366	1.5187	0.4988	0.7025	1.1596
		MH	MSE	0.2479	0.1063	0.1482	0.1620	0.2503	0.1073	0.1498	0.1637
		HMC	AVG	1.0309	0.6243	0.7121	1.1165	1.0858	0.6519	0.7128	1.1471
		HMC	MSE	0.1548	0.0664	0.0926	0.1012	0.1563	0.0670	0.0935	0.1022
		RMH	AVG	1.5290	0.5058	0.7169	1.1711	1.5753	0.4959	0.7169	1.1711
		RMH	MSE	0.1083	0.0464	0.0648	0.0708	0.1094	0.0469	0.0655	0.0715
	60	MH	AVG	1.1007	0.6178	0.6918	1.1485	1.1446	0.6487	0.6991	1.1877
		MH	MSE	0.2702	0.1158	0.1615	0.1767	0.2729	0.1170	0.1632	0.1784
		HMC	AVG	1.5426	0.5132	0.7139	1.1818	1.5580	0.4981	0.6999	1.1818
		HMC	MSE	0.1687	0.0723	0.1009	0.1103	0.1704	0.0731	0.1019	0.1114
		RMH	AVG	1.0638	0.6210	0.7127	1.1291	1.1338	0.6338	0.7132	1.1226
		RMH	MSE	0.1181	0.0506	0.0706	0.0772	0.1193	0.0511	0.0713	0.0780
	30	MH	AVG	1.5611	0.5003	0.7194	1.1357	1.5301	0.4903	0.7053	1.1357
		MH	MSE	0.2945	0.1262	0.1761	0.1925	0.2974	0.1276	0.1779	0.1944
		HMC	AVG	1.0414	0.6355	0.6919	1.1261	1.0936	0.6493	0.7064	1.1316
		HMC	MSE	0.1839	0.0788	0.1100	0.1202	0.1857	0.0796	0.1111	0.1214
		RMH	AVG	1.5691	0.5072	0.7036	1.1547	1.5691	0.4973	0.7106	1.1319
		RMH	MSE	0.1287	0.0552	0.0770	0.0841	0.1300	0.0557	0.0778	0.0850

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Table 4 Estimated AVG and MSE under MH, HMC and RMH with fixed values of, \(\tau\) = 5, \(\lambda\) = 1.5, \(\beta\) = 0.9, \(\zeta\) = 1.3, \(\phi\) = 1.75, p = 0.5.

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