الفهرس 
Title : On the inverse lomax distribution
AbstractOnly 14 pages are availabe for public view
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Abstract
Statistical distributions are very useful in describing and predicting real world phenomena. Several classical distributions have been widely used over the past decades for modeling data in several areas such as engineering, actuarial, environmental and medical sciences. In many practical situations, classical probability distributions do not provide suitable fits to real data. For that reason, several methods for generating new families of distributions have been studied. In this thesis, a new three-parameter lifetime distribution, called the power inverse Lomax distribution, is presented.Some statistical properties of the stated distribution are discussed, including; quantile measures, moments, moment generating function, order statistics, incomplete moments, residual life function and entropies.The estimation of the model parameters is performed by maximum likelihood, least squares and weighted least squares methods. Applications to real data sets are given to show the flexibility and potentiality of the proposed distribution. Additionally, a new three-parameter lifetime distribution, called the Topp- Leone Inverse Lomax distribution is introduced. Closed-form expressions for the density, cumulative distribution, reliability, hazard rate function, reversed hazard rate and cumulative hazard rate function are derived. Some statistical properties of a new distribution are provided