• Randhir Singh

This paper deals with the Bayesian estimation of unknown parameter θ and reliability of exponential distribution. The estimation has been performed for type II censored samples. In the Bayesian setup estimates of θ and the reliability of the distribution have been obtained by taking Maxwell’s distribution as the prior distribution for the unknown parameter θ which is a Non-Natural Conjugate prior distribution for θ and four different types of loss functions. On the part of loss functions, the Squared Error Loss Function (SELF), DeGroot Loss Function (DLF), Minimum Expected Loss (MELO) Function and Exponentially Weighted Minimum Expected Loss (EWMELO) Function have been considered. Bayes Risks of Bayes estimators corresponding to four loss functions have also been obtained.

Exponential Distribution, Maxwell’s distribution, Reliability, Type II Censoring Bayes Estimator, Squared Error Loss Function (SELF), DeGroot Loss Function (DLF), Minimum Expected Loss (MELO) Function and Exponentially Weighted Minimum Expected Loss (EWMELO) Function. Bayes Risk.

"BAYESIAN ESTIMATION OF THE UNKNOWN PARAMETER AND RELIABILITY OF THE EXPONENTIAL DISTRIBUTION WITH A NON-NATURAL CONJUGATE PRIOR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 9, page no.e228-e236, September-2021, Available :http://www.jetir.org/papers/JETIR2109426.pdf

"BAYESIAN ESTIMATION OF THE UNKNOWN PARAMETER AND RELIABILITY OF THE EXPONENTIAL DISTRIBUTION WITH A NON-NATURAL CONJUGATE PRIOR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 9, page no. ppe228-e236, September-2021, Available at : http://www.jetir.org/papers/JETIR2109426.pdf