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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 4 | Year 2016 | Article Id. IJMTT-V40P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P531

Estimation of Reliability Function of Lomax Distribution via Bayesian Approach


Arun Kumar Rao, Himanshu Pandey, Kusum Lata Singh
Abstract

In this paper Bayes estimation of the reliability function of the Lomax distribution have been obtained by taking non-informative and beta prior distributions. The loss function used is squared error, linex, precautionary and entropy.

Keywords
Lomax distribution, non-informative and beta prior distributions, loss function.
References

[1] Abdullah, M.A. and Abdullah, H.A., (2010). Estimation of Lomax parameters based on Generalized Probability Weighted Moment, JKAU, Sci (22), pp. 171-184.
[2] Varian, H.R. (1975): “A Bayesian approach to real state assessment, in studies in Bayesian Econometries and Statistics in honour of L.J. Savage,” Eds. S.E. Feinberg and A. Zellner, Amsterdam: North Holland, pp. 195-208.
[3] Atchison, J. and Dunsmore, I.R. (1975): Statistical Prediction Analysis, Cambridge University Press, London.
[4] Zellner, A. (1986): “Bayes estimation and prediction using asymmetric loss functions,” Jour. Amer. Statist. Assoc., 81, pp. 446-451.
[5] Basu, A. and Ebrahimi, N. (1991): “Bayesian approach to life testing and reliability estimation using asymmetric loss function”. Jour. Statist. Plan. Inf. 29, pp 21-31.
[6] Norstrom, J.G. (1996): “The use of precautionary loss functions in risk analysis,” IEEE Trans. Reliab., 45(3), pp. 400-403.
[7] Calabria, R. and Pulcini, G. (1994): “An engineering approach to Bayes estimation for the Weibull distribution,” Microelectron. Reliab, Vol. 34, No. 5, pp 789-802.
[8] Dey, D.K., Ghosh, M. and C. Srinivasan (1987): “Simultaneous estimation of parameters under entropy loss,” J. Statist. plan. And infer., pp. 347-363.
[9] Dey, D.K., and Pei-San Liao Liu (1992): “On comparison of estimators in a generalized life model,” Micro-electron. Reliable. 32 (1/2) pp. 207-221.

Citation :

Arun Kumar Rao, Himanshu Pandey, Kusum Lata Singh, "Estimation of Reliability Function of Lomax Distribution via Bayesian Approach," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 4, pp. 252-254, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P531

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