Journal of Mathematics

Research Article

Fuzzy Reliability Analysis of the COVID-19 Mortality Rate Using a New Modified Kies Kumaraswamy Model

Table 2

RB and MSE of the MLE, MPS, CVM, AD, and Bayesian estimate for MKKu distribution for .


		MLE		MPS		CVM		AD		Bayesian
		RB	MSE	RB	MSE	RB	MSE	RB	MSE	RB	MSE

0.5	30	0.1056	0.0702	0.2361	0.0934	0.1328	0.0285	0.1148	0.0430	0.0168	0.0082
		0.1755	0.0944	−0.0889	0.0821	−0.0419	0.0248	0.0115	0.0510	0.0070	0.0135
		0.2393	0.1891	−0.0463	0.1191	0.0451	0.0635	0.0927	0.1105	−0.0057	0.0152
		−0.9078	5.716E − 05	−0.9102	0.0000	−0.9126	0.0001	−0.9103	0.0001	−0.9120	3.454E − 05
		−0.8690	1.197E − 04	−0.8717	0.0001	−0.8764	0.0002	−0.8726	0.0001	−0.8747	7.104E − 05
		−0.8779	2.157E − 04	−0.8796	0.0002	−0.8851	0.0004	−0.8811	0.0002	−0.8828	1.261E − 04
	80	0.0201	0.0327	0.1421	0.0412	0.0544	0.0147	0.0518	0.0186	0.0230	0.0048
		0.1668	0.0732	−0.0729	0.0472	0.0040	0.0218	0.0135	0.0276	0.0001	0.0077
		0.2003	0.1465	−0.0479	0.0709	0.0444	0.0479	0.0469	0.0517	−0.0124	0.0098
		−0.9086	1.574E − 05	−0.9093	0.0000	−0.9100	0.0000	−0.9097	0.0000	−0.9102	1.368E − 05
		−0.8697	3.170E − 05	−0.8705	0.0000	−0.8720	0.0000	−0.8713	0.0000	−0.8720	2.766E − 05
		−0.8779	5.507E − 05	−0.8784	0.0001	−0.8804	0.0001	−0.8795	0.0001	−0.8801	4.820E − 05
	150	0.0607	0.0229	0.1244	0.0300	0.0340	0.0050	0.0504	0.0176	0.0118	0.0019
		0.0356	0.0335	−0.0708	0.0368	−0.0107	0.0062	0.0213	0.0299	0.0024	0.0034
		0.0459	0.0523	−0.0545	0.0525	−0.0014	0.0116	0.0460	0.0565	−0.0058	0.0046
		−0.9085	1.054E − 05	−0.9088	0.0000	−0.9098	0.0000	−0.9091	0.0000	−0.9100	7.210E − 06
		−0.8695	2.049E − 05	−0.8698	0.0000	−0.8716	0.0000	−0.8705	0.0000	−0.8717	1.443E − 05
		−0.8778	3.383E − 05	−0.8778	0.0000	−0.8799	0.0000	−0.8787	0.0000	−0.8797	2.480E − 05

3	30	0.0571	0.0196	0.0276	0.0168	0.0644	0.0135	0.0493	0.0121	0.0212	0.0066
		0.0459	0.5967	−0.0533	0.4173	−0.0095	0.0766	−0.0248	0.1783	−0.0022	0.0249
		0.1003	0.0658	−0.0267	0.0387	0.0576	0.0505	0.0214	0.0395	−0.0091	0.0155
		−0.8326	0.0001	−0.8459	0.0001	−0.8324	0.0002	−0.8374	0.0001	−0.8386	0.0001
		−0.9594	0.0002	−0.9627	0.0002	−0.9593	0.0004	−0.9606	0.0002	−0.9609	0.0002
		−0.7660	0.0005	−0.7852	0.0004	−0.7658	0.0008	−0.7729	0.0005	−0.7748	0.0004
	80	0.0384	0.0155	0.0089	0.0050	0.0187	0.0052	0.0184	0.0051	0.0070	0.0030
		0.0387	0.9714	−0.0347	0.1697	0.0065	0.0661	−0.0059	0.1168	0.0007	0.0194
		0.0559	0.0538	−0.0354	0.0134	0.0239	0.0200	0.0037	0.0150	−0.0025	0.0077
		−0.8369	3.484E − 05	−0.8430	0.0000	−0.8366	0.0001	−0.8383	0.0000	−0.8386	3.291E − 05
		−0.9605	7.956E − 05	−0.9620	0.0001	−0.9604	0.0001	−0.9608	0.0001	−0.9609	7.884E − 05
		−0.7726	1.544E − 04	−0.7814	0.0002	−0.7722	0.0002	−0.7746	0.0002	−0.7752	1.469E − 04
	150	0.0180	0.0049	0.0029	0.0025	0.0207	0.0031	0.0194	0.0027	0.0044	0.0015
		0.0056	0.2288	−0.0232	0.0877	−0.0107	0.0529	−0.0190	0.0501	−0.0017	0.0080
		0.0205	0.0145	−0.0163	0.0079	0.0072	0.0095	−0.0049	0.0074	0.0054	0.0040
		−0.8369	1.899E − 05	−0.8409	2.022E − 05	−0.8367	3.140E − 05	−0.8377	2.241E − 05	−0.8378	1.953E − 05
		−0.9605	4.338E − 05	−0.9615	4.540E − 05	−0.9604	7.036E − 05	−0.9607	5.058E − 05	−0.9607	4.404E − 05
		−0.7728	8.393E − 05	−0.7786	8.635E − 05	−0.7725	1.333E − 04	−0.7740	9.664E − 05	−0.7742	8.395E − 05