Parameter Estimation for Type III Discrete Weibull Distribution: A Comparative Study

Table 1

Parameter combinations and corresponding expected value, standard deviation, and 0.99-quantile for the simulation study.

𝑐	𝛽	𝔼(𝑋)	SD(𝑋)	𝐹^−1(0.99)
0.1	1	3.01	2.06	9
0.1	0.75	3.64	2.67	11
0.1	0.5	4.61	3.69	16
0.1	0.25	6.26	5.61	25
0.2	0.75	2.18	1.78	7
0.2	0.5	2.62	2.30	10
0.2	0.25	3.30	3.19	14
0.2	0	4.52	4.99	23
0.4	0.5	1.38	1.42	6
0.4	0.25	1.63	1.80	8
0.4	0	2.03	2.48	11
0.4	−0.25	2.76	3.95	18
0.6	0.25	1.03	1.28	5
0.6	0	1.22	1.64	7
0.6	−0.25	1.53	2.35	11
0.6	−0.5	2.19	4.21	20
0.8	0	0.82	1.22	5
0.8	−0.25	0.98	1.62	7
0.8	−0.5	1.29	2.56	12
0.9	−0.5	1.04	2.10	10