Abstract

In this paper, we propose a new length-biased distribution, which is a special case of weighted distributions. We derive some mathematical properties of the proposed distribution, including moment generating function, characteristic function and moments, and discuss parameter estimation by the method of moments and maximum likelihood estimation. We assess estimators via simulation, and show the potential of the proposed distribution by fitting it with some real-life data sets.

中文翻译：

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偏重加权Lindley分布及其应用

摘要

在本文中，我们提出了一种新的长度有偏的分布，这是加权分布的一种特殊情况。我们推导了所提出分布的一些数学性质，包括矩产生函数，特征函数和矩，并讨论了采用矩和最大似然估计方法进行参数估计的方法。我们通过仿真评估估算器，并通过将其与一些实际数据集进行拟合来显示拟议分布的潜力。