Complexity

Research Article

Estimation for Parameters of Life of the Marshall-Olkin Generalized-Exponential Distribution Using Progressive Type-II Censored Data

Table 4

The APEs (first-line), RMSEs (second-line), and MRABs (third-line) of .


	FP	Scheme	MLE	SEL		LL
Prior				I	II	I			II
				I	II	−3	−0.03	+3	−3	−0.03	+3

30	30%	1	0.9212	0.9094	0.9365	0.9151	0.9095	0.8942	0.9430	0.9366	0.9177
			0.1454	0.0984	0.0797	0.0564	0.0625	0.0761	0.0095	0.0203	0.0696
			0.1394	0.0673	0.0236	0.0612	0.0672	0.0788	0.0099	0.0166	0.0444
		2	0.9191	0.9565	0.9112	0.9636	0.9566	0.9349	0.9164	0.9112	0.8991
			0.1461	0.1013	0.0742	0.0480	0.0456	0.0717	0.0209	0.0280	0.0473
			0.1377	0.0671	0.0325	0.0510	0.0461	0.0612	0.0218	0.0269	0.0390
		3	0.9240	0.9206	0.9016	0.9285	0.9207	0.8929	0.9070	0.9017	0.8869
			0.1425	0.1006	0.0854	0.0324	0.0367	0.0736	0.0124	0.0224	0.0513
			0.1365	0.0380	0.0340	0.0346	0.0380	0.0524	0.0107	0.0166	0.0326
	60%	1	0.9237	0.9146	0.9096	0.9226	0.9148	0.8882	0.9135	0.9096	0.9007
			0.1385	0.0942	0.0658	0.0280	0.0284	0.0510	0.0090	0.0179	0.0477
			0.1342	0.0450	0.0176	0.0286	0.0293	0.0461	0.0060	0.0108	0.0271
		2	0.9200	0.9284	0.9097	0.9363	0.9285	0.9004	0.9138	0.9097	0.9007
			0.1364	0.1002	0.0656	0.0362	0.0425	0.0615	0.0113	0.0196	0.0419
			0.1315	0.0478	0.0298	0.0390	0.0446	0.0566	0.0097	0.0143	0.0264
		3	0.9246	0.8979	0.9074	0.9001	0.8979	0.8942	0.9141	0.9075	0.8898
			0.1371	0.0793	0.0651	0.0179	0.0244	0.0466	0.0105	0.0184	0.0502
			0.1328	0.0319	0.0236	0.0183	0.0231	0.0449	0.0108	0.0140	0.0297
	90%	1	0.9242	0.9072	0.8551	0.9113	0.9073	0.8978	0.8607	0.8552	0.8446
			0.1346	0.0889	0.0643	0.0093	0.0168	0.0353	0.0074	0.0166	0.0337
			0.1303	0.0314	0.0171	0.0065	0.0104	0.0207	0.0052	0.0106	0.0202
		2	0.9216	0.8758	0.8921	0.8811	0.8759	0.8649	0.8968	0.8921	0.8810
			0.1348	0.0819	0.0542	0.0220	0.0262	0.0590	0.0106	0.0178	0.0348
			0.1305	0.0401	0.0246	0.0221	0.0268	0.0555	0.0079	0.0117	0.0210
		3	0.9240	0.8820	0.9195	0.8851	0.8820	0.8757	0.9235	0.9196	0.9108
			0.1354	0.0636	0.0484	0.0161	0.0213	0.0275	0.0069	0.0147	0.0294
			0.1316	0.0228	0.0213	0.0163	0.0206	0.0247	0.0045	0.0108	0.0228
60	30%	1	0.9268	0.9228	0.9327	0.9266	0.9229	0.9143	0.9403	0.9328	0.9073
			0.1321	0.0985	0.0778	0.0255	0.0278	0.0656	0.0129	0.0199	0.0482
			0.1285	0.0436	0.0237	0.0258	0.0288	0.0537	0.0132	0.0160	0.0289
		2	0.9206	0.9200	0.9031	0.9261	0.9201	0.9024	0.9082	0.9031	0.8891
			0.1291	0.0844	0.0777	0.0341	0.0396	0.0545	0.0158	0.0216	0.0486
			0.1248	0.0409	0.0295	0.0365	0.0408	0.0509	0.0160	0.0199	0.0344
		3	0.9256	0.9011	0.9167	0.9047	0.9011	0.8933	0.9205	0.9168	0.9079
			0.1295	0.0765	0.0658	0.0180	0.0210	0.0435	0.0109	0.0183	0.0384
			0.1258	0.0299	0.0206	0.0182	0.0194	0.0306	0.0111	0.0160	0.0268
	60%	1	0.9248	0.9223	0.9042	0.9281	0.9224	0.9056	0.9095	0.9043	0.8903
			0.1285	0.0822	0.0629	0.0147	0.0222	0.0487	0.0123	0.0159	0.0291
			0.1254	0.0285	0.0232	0.0150	0.0196	0.0370	0.0080	0.0137	0.0246
		2	0.9216	0.8793	0.9102	0.8834	0.8794	0.8701	0.9138	0.9103	0.9022
			0.1268	0.0774	0.0770	0.0209	0.0223	0.0516	0.0118	0.0196	0.0402
			0.1235	0.0356	0.0177	0.0211	0.0231	0.0378	0.0094	0.0149	0.0302
		3	0.9219	0.9144	0.9296	0.9196	0.9145	0.9005	0.9331	0.9297	0.9222
			0.1271	0.0762	0.0622	0.0140	0.0203	0.0430	0.0092	0.0169	0.0309
			0.1238	0.0222	0.0175	0.0133	0.0171	0.0284	0.0093	0.0135	0.0258
	90%	1	0.9240	0.9096	0.9071	0.9129	0.9096	0.9024	0.9104	0.9071	0.9000
			0.1270	0.0586	0.0584	0.0097	0.0161	0.0301	0.0083	0.0148	0.0288
			0.1242	0.0125	0.0114	0.0070	0.0106	0.0184	0.0047	0.0082	0.0160
		2	0.9226	0.9307	0.9244	0.9358	0.9307	0.9170	0.9297	0.9245	0.9101
			0.1261	0.0745	0.0613	0.0137	0.0204	0.0426	0.0084	0.0154	0.0309
			0.1229	0.0272	0.0162	0.0141	0.0193	0.0360	0.0056	0.0093	0.0179
		3	0.9207	0.9165	0.9013	0.9217	0.9166	0.9027	0.9052	0.9014	0.8922
			0.1263	0.0633	0.0606	0.0139	0.0187	0.0353	0.0085	0.0148	0.0267
			0.1230	0.0182	0.0170	0.0127	0.0169	0.0257	0.0085	0.0130	0.0224

90	30%	1	0.9295	0.9050	0.9032	0.9091	0.9051	0.8953	0.9079	0.9033	0.8911
			0.1275	0.0769	0.0677	0.0142	0.0224	0.0455	0.0107	0.0185	0.0385
			0.1247	0.0178	0.0133	0.0130	0.0178	0.0302	0.0085	0.0138	0.0238
		2	0.9207	0.9028	0.9090	0.9070	0.9028	0.8926	0.9132	0.9091	0.8991
			0.1228	0.0720	0.0696	0.0127	0.0206	0.0405	0.0088	0.0169	0.0365
			0.1201	0.0194	0.0154	0.0108	0.0153	0.0264	0.0054	0.0099	0.0233
		3	0.9246	0.9120	0.9108	0.9162	0.9121	0.9021	0.9151	0.9109	0.9006
			0.1243	0.0712	0.0676	0.0159	0.0217	0.0406	0.0106	0.0190	0.0351
			0.1217	0.0184	0.0196	0.0158	0.0194	0.0242	0.0078	0.0124	0.0273
	60%	1	0.9257	0.9125	0.9050	0.9178	0.9126	0.8984	0.9092	0.9051	0.8950
			0.1239	0.0732	0.0666	0.0120	0.0210	0.0447	0.0107	0.0184	0.0374
			0.1210	0.0179	0.0130	0.0097	0.0148	0.0292	0.0083	0.0128	0.0235
		2	0.9208	0.9094	0.9168	0.9141	0.9095	0.8974	0.9213	0.9169	0.9058
			0.1226	0.0684	0.0670	0.0098	0.0171	0.0403	0.0083	0.0162	0.0361
			0.1201	0.0144	0.0131	0.0100	0.0143	0.0261	0.0052	0.0102	0.0208
		3	0.9218	0.9054	0.8990	0.9097	0.9054	0.8949	0.9024	0.8991	0.8918
			0.1214	0.0689	0.0614	0.0098	0.0185	0.0395	0.0093	0.0163	0.0342
			0.1190	0.0144	0.0141	0.0071	0.0119	0.0240	0.0067	0.0110	0.0221
	90%	1	0.9232	0.9055	0.9004	0.9092	0.9055	0.8969	0.9049	0.9005	0.8891
			0.1230	0.0717	0.0635	0.0109	0.0189	0.0440	0.0091	0.0179	0.0347
			0.1203	0.0153	0.0126	0.0083	0.0128	0.0281	0.0084	0.0123	0.0217
		2	0.9212	0.9104	0.9084	0.9143	0.9105	0.9013	0.9121	0.9084	0.9000
			0.1214	0.0645	0.0625	0.0086	0.0159	0.0336	0.0081	0.0157	0.0324
			0.1188	0.0121	0.0117	0.0056	0.0098	0.0198	0.0052	0.0092	0.0184
		3	0.9221	0.9094	0.9074	0.9140	0.9094	0.8980	0.9110	0.9074	0.8994
			0.1213	0.0667	0.0609	0.0085	0.0166	0.0366	0.0083	0.0160	0.0320
			0.1187	0.0140	0.0116	0.0070	0.0113	0.0222	0.0064	0.0103	0.0190