The Location-Scale Mixture Exponential Power Distribution: A Bayesian and Maximum Likelihood Approach

Table 2

Bayesian estimation results for parameters of LSMEP distribution.

	𝜇	𝜎	𝑝	𝛽	𝛼
Real parameter	0	1	1.5	1	3
Estimated parameter	0.0662	0.9295	1.7012	0.8850	2.8903
MSE	0.0043	0.0049	0.0405	0.0132	0.0120
Real parameter	−1	2	3.5	−5	5.5
Estimated parameter	−0.8894	1.8922	3.3992	−4.9062	5.4144
MSE	0.0122	0.0117	0.0101	0.0087	0.0073
Real parameter	2	3	4.5	3	7
Estimated parameter	2.0489	2.9102	4.7143	2.9061	6.9099
MSE	0.0024	0.0081	0.0459	0.0088	0.0081