A Comparison between Maximum Likelihood and Bayesian Estimation Methods for a Shape Parameter of the Weibull-Exponential Distribution
Terna G. Ieren, Pelumi E. Oguntunde
Asian Journal of Probability and Statistics · pp. 1–12 · Published 26 May 2018
10.9734/ajpas/2018/v1i124504Abstract
We considered the Bayesian analysis of a shape parameter of the Weibull-Exponential distribution in this paper. We assumed a class of non-informative priors in deriving the corresponding posterior distributions. In particular, the Bayes estimators and associated risks were calculated under three different loss functions. The performance of the Bayes estimators was evaluated and compared to the method of maximum likelihood under a comprehensive simulation study. It was discovered that for the said parameters to be estimated, the quadratic loss function under both uniform and Jeffrey’s priors should be used for decreasing parameter values while the use of precautionary loss function can be preferred for increasing parameter values irrespective of the variations in sample size.
References (15)
- 1 Bayesian Reliability Analysis. [DOI]
- 2 Reliability and Risk [DOI]
- 3 The use of precautionary loss functions in risk analysis [DOI]
- 4 The Weibull-Exponential Distribution: Its Properties and Applications [DOI]
- 5 Performance rating of the transmuted exponential distribution: an analytical approach [DOI]
- 6 The Transmuted Inverse Exponential Distribution [DOI]
- 7 Bayesian Estimation of Two‐Parameter Weibull Distribution Using Extension of Jeffreys′ Prior Information with Three Loss Functions [DOI]
- 8 COMPARISON BETWEEN BAYESIAN AND MAXIMUM LIKELIHOOD ESTIMATION OF SCALE PARAMETER IN WEIBULL DISTRIBUTION WITH KNOWN SHAPE UNDER LINEX LOSS FUNCTION
- 9 Parameter Estimation for the Double Pareto Distribution [DOI]
- 10 Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals [DOI]
- 11 Classical and Bayesian Approach in Estimation of Scale Parameter of Nakagami Distribution [DOI]
- 12 BAYESIAN ESTIMATION OF THE SHAPE PARAMETER OF THE GENERALISED EXPONENTIAL DISTRIBUTION UNDER DIFFERENT LOSS FUNCTIONS [DOI]
- 13 Bayesian Estimation of the SHAPE Parameter of a Generalized PARETO Distribution under Asymmetric Loss Functions
- 14 Extension of Jeffreys's prior estimate for Weibull censored data using Lindley's approximation
- 15 B ayesian Survival Analysis [DOI]
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