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Transmuted Power Inverse Lindley Distribution with Applications in Engineering Science

Aijaz Ahmad, S. Quratul Ain, Rajnee Tripathi

Abstract


The family of distributions created from the baseline distribution has attracted the interest of scholars in recent years. In this study, we offer an expansion of the power inverse Lindley distribution employing the transmutation technique proposed by Shaw and Buckley (2007).Several properties of the explored distribution including moments, moment generating function, reliability analysis and order statistics has been discussed. The behaviour of the probability density function (pdf) and cumulative distribution function (cdf) are shown through graphs. The parameters of the investigated distribution are estimated employing the well-known maximum likelihood procedure. Ultimately, the applicability of the investigated distribution is demonstrated using real-world data sets.


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References


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