Problem Statement: The four-parameter exponentiated generalized Lomax distribution has been introduced. The uniformly minimum variance unbiased and maximum likelihood estimation methods are the way to estimate the parameters of the distribution. In this study we explore and compare the performance of the uniformly minimum variance unbiased and maximum likelihood estimators of the reliability fu...

In this paper, the estimation of the stress-strength parameter ( ) X Y P R < = , when X and Y are independent and both are Lomax distributions with the common scale parameters but different shape parameters is studied. The maximum likelihood estimator of R is derived. Assuming that the common scale parameter is known, the bayes estimator and exact confidence interval of R are discussed. Simulat...

Estimation of a quantile in a mixture model of exponential distributions is considered. For quadratic loss and specified extreme quantiles, better estimators than the best affine equivariant procedure are established. In particular, improved estimators for a quantile of an Exponential-Inverse Gaussian distribution and the multivariate Lomax distribution with unknown location and scale parameter...

In this article, we introduce a new class of five-parameter model called the Exponentiated Weibull Lomax arising from generated family. The contains some existing distributions as well models. Explicit expressions for its moments, distribution and density functions, moments residual life function are derived. Furthermore, Rényi q–entropies, probability weighted order statistics obtained. Three ...