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

Table 1

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
3	30		0.0452	0.1505	−0.0319	0.1150	0.0125	0.0942	0.0014	0.0883	−0.0001	0.0250
			0.0274	0.0635	−0.0193	0.0415	0.0077	0.0293	0.0034	0.0263	−0.0024	0.0216
			0.0232	0.0025	−0.0185	0.0017	0.0067	0.0017	0.0019	0.0013	−0.0023	0.0016
			−0.9639	0.0009	−0.9604	0.0008	−0.9622	0.0008	−0.9619	0.0007	−0.9616	0.0004
			−0.9275	0.0022	−0.9240	0.0017	−0.9253	0.0020	−0.9252	0.0018	−0.9243	0.0012
			−0.4228	0.0036	−0.4240	0.0028	−0.4183	0.0039	−0.4208	0.0033	−0.4147	0.0028
	80		0.0163	0.0564	−0.0204	0.0413	0.0011	0.0134	0.0013	0.0134	−0.0006	0.0155
			0.0116	0.0409	−0.0125	0.0134	0.0007	0.0038	0.0008	0.0039	−0.0027	0.0140
			0.0094	0.0013	−0.0116	0.0005	0.0004	0.0003	0.0002	0.0003	−0.0031	0.0007
			−0.9627	0.0003	−0.9609	0.0003	−0.9619	0.0002	−0.9619	0.0002	−0.9618	0.0002
			−0.9257	0.0008	−0.9239	0.0007	−0.9246	0.0006	−0.9247	0.0005	−0.9247	0.0005
			−0.4175	0.0012	−0.4174	0.0010	−0.4149	0.0012	−0.4152	0.0011	−0.4158	0.0010
	150		0.0056	0.0274	−0.0179	0.0237	−0.0094	0.0186	−0.0055	0.0147	−0.0009	0.0077
			0.0005	0.0175	−0.0108	0.0073	−0.0037	0.0058	−0.0030	0.0045	0.0014	0.0073
			0.0032	0.0006	−0.0071	0.0003	−0.0011	0.0004	−0.0003	0.0002	0.0026	0.0004
			−0.9617	0.0002	−0.9606	0.0002	−0.9611	0.0002	−0.9613	0.0001	−0.9616	0.0001
			−0.9243	0.0004	−0.9232	0.0004	−0.9236	0.0004	−0.9238	0.0004	−0.9242	0.0003
			−0.4110	0.0007	−0.4111	0.0006	−0.4108	0.0007	−0.4106	0.0006	−0.4113	0.0006
0.5	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	3.091E − 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	1.427E − 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	1.820E − 05	−0.8367	3.140E − 05	−0.8377	2.241E − 05	−0.8378	1.795E − 05
			−0.9605	4.338E − 05	−0.9615	4.305E − 05	−0.9604	7.036E − 05	−0.9607	5.058E − 05	−0.9607	4.304E − 05
			−0.7728	8.393E − 05	−0.7786	8.364E − 05	−0.7725	1.333E − 04	−0.7740	9.664E − 05	−0.7742	8.309E − 05