Estimation of Reliability Function of Lomax Distribution via Bayesian Approach

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2016 by IJMTT Journal
Volume-40 Number-4
Year of Publication : 2016
Authors : Arun Kumar Rao, Himanshu Pandey, Kusum Lata Singh
  10.14445/22315373/IJMTT-V40P531

MLA

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). V40(4):252-254 December 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

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.

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