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Weighted rayleigh distribution

Author(s)
Ahmad M. H. Al-khazaleh Department of Mathematics, Al al-Bayt University,Al Mafraq,Jordan
Ali H. Handam Department of Mathematics, Al al-Bayt University,Al Mafraq,Jordan
Mansour Alkhazaleh Department of Finance and Banking, School of Business, Al-Albayt University,Al Mafraq,Jordan
Ahmad Abu-Saleem Department of Mathematics, Al al-Bayt University,Al Mafraq,Jordan
Abstract
In this article, a new continuous probability distribution, namely the weighted Rayleigh distribution, is proposed and studied. Many properties of the new distribution are derived, including moments, Ren´yi entropy, ordered statistics, and Bonferroni and Lorenz curves. Moreover, the reliability analysis of the new distribution is introduced, including the survival function, hazard rate, reversed hazard rate, and the odds function. The estimation of the model parameters is performed using the maximum likelihood method. Two real data sets are used to demonstrate the flexibility of the new model. It is found that the suggested distribution fits the data better than the Rayleigh distribution.
Publication Details
Page(s) 41-57
DOI DOI not available
Published Journal: Journal of Applied Probability and Statistics, Volume: 19, Issue: 1, Year: 2024

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Keywords
Rayleigh Distribution, Maximum Likelihood Estimation, and phrases, Order statistics, Reliability function, moment generating function, Ren´yi entropy
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