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Inverse Power Modified Chris-Jerry Distribution: Properties, Estimation, Simulation and Medical Application |
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PP: 1261-1271 |
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doi:10.18576/amis/180608
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Author(s) |
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Mohammad Y. Awajan,
Dina A. Ramadan,
B. S. El-Desouky,
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Abstract |
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| To provide better fits than the modified Chris-Jerry distribution and some of its known extensions, this study introduces an inverse power modified Chris-Jerry distribution as a generalization of the two parameters of the Chris-Jerry distribution. The essential characteristics of the suggested distribution, including the moments, order statistics, Re ́nyi entropy, stress-strength reliability, moments, and moment-generating function, have been determined. We determine the maximum likelihood estimators of the unknown parameters in the proposed distribution. The simulation study is carried out by producing random samples to estimate distribution parameters. We examine applications to real datasets, where the new distribution is shown to provide a better fit than other distributions.
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