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Article Content:-
Abstract
A new four - parameter distribution generated from Gumbel - X family called the Gumbel - Frchet distribution is introduced and studied. The structural properties including ordinary and incomplete moments, quantiles and generating functions, probability weighted moments, mean deviation about mean and median, moments of residual and reversed residual life, Renyi and - entropies and order statistics are discussed in detail. The new density function can be expressed as a linear mixture of Frchet densities. The maximum likelihood method is used to estimate the model parameters. The new distribution is applied to a real data set on survival life times to establish the flexibility of the newly developed model.
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References
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