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Estimation of Density and Reliability Function of Inverse Lomax Distribution under Type-II Censoring and the Sampling Scheme of Bartholomew

Ankita Sharma, Parmil Kumar


In this paper, the probability density and reliability functions of the Inverse Lomax probability distribution (ILD) under Type-II censoring scheme has been estimated. We have measures of reliability, R(t) = P(X > t) and P = Pr(X > Y) based on Type-II censoring and the sampling scheme of Bartholomew of ILD. Further two type of estimators viz., Uniformly Minimum Variance Unbiased Estimator (UMVUE) and Maximum Likelihood Estimators (MLE) have been derived for parameters of ILD. The constructed the confidence intervals for the parameter α, R(t) and P are also constructed based on Type-II censoring and scheme of Bartholomew has been constructed.The performance of the obtained estimators has been compared through simulation study.


Inverse Lomax Distribution, Point estimation, Confidence Interval, Type-II censoring, Sampling Scheme of Bartholomew, Markov Chain Monte Carlo.

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