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The Modified Extended Chen Distribution: Properties and Application to Rainfall Data |
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PP: 711-728 |
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doi:10.18576/amis/160506
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Author(s) |
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Abdulzeid Yen Anafo,
Lewis Brew,
Suleman Nasiru,
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Abstract |
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| The Burr-Hatke differential equation is used in this study to generate a novel three parameter modified extended Chen distribution. The statistical features of the developed distribution are derived, which include the quantile function, moment, incomplete moment, inequality measures, moment generating function, characteristic function, stress-strength reliability, order statistic, Re ́nyi entropy, and stochastic ordering. Furthermore, the functions of reliability, survival, reversed hazard rate, and hazard rate are developed. The parameters of the new distribution are estimated using the maximum likelihood, ordinary, and weighted least squares methods. A simulation experiment is carried out to examine the performance of the several estimating techniques for the parameters of the MEC distribution. Rainfall data from three locations in Ghana are used to demonstrate the applicability of the modified extended Chen distribution. Finally, the study estimates the return levels and periods for the three locations.
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