Abstract

Recently it is observed that the generalized exponential distribution can be used quite effectively to analyze lifetime data in one dimension. This paper extends Marshall and Olkin's bivariate exponential model to the Generalized Bivariate Lomax (BGL) Distribution. The cumulative distribution function, the probability density function and the Marginal distribution of the BGL distribution are reached. The maximum likelihood estimation procedure is derived for the estimation of the BGL parameters based on Censored Samples when all parameters are unknown and also obtain the observed Fisher information matrix. A special case of the distribution of the BGL distribution is reached in a closed form when one of the parameters is known. Simulation study was analyzed, and a numerical comparison is made between the proposed estimation procedure of the BGL distribution and Block-Basu estimation technique.

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