On the Statistical Properties of the Remkan Distribution

N. P. Akpan, O. R. Uwaeme
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Abstract

The Remkan distribution is a two-parameter lifetime distribution that has been introduced into the literature to meet the ever-growing demand for the development of new lifetime distributions to meet the goodness of fit demand of complex datasets. The mathematical properties of the Remkan distribution have been derived in the literature. This study therefore aims to derive important statistical properties including the mode, quantile function, order statistics, entropy, stochastic ordering, average absolute deviation, and mid-point and Reliability indices such as the survivorship or existence measurement function, risk measurement function, and average residual measurement lifetime function.
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论雷姆坎分布的统计特性
雷姆坎分布是一种双参数寿命分布,它被引入文献以满足日益增长的开发新寿命分布的需求,从而满足复杂数据集的拟合度要求。雷姆坎分布的数学特性已在文献中得到推导。因此,本研究旨在推导出重要的统计特性,包括模式、量化函数、阶次统计、熵、随机排序、平均绝对偏差和中点,以及可靠性指数,如存活或存在测量函数、风险测量函数和平均残差测量寿命函数。
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