Extended Lindley Distribution with Applications

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2022-01-01 DOI:10.15446/rce.v45n1.93548

Sher B. Chhetri, N. Mdziniso, Cory Ball

引用次数: 2

Abstract

In this work, we propose a three-parameter generalized Lindley distribution using the cubic rank transmutation map approach by Granzotto, Louzada & Balakrishnan (2017). We derive expressions for several mathematical properties including moments and moment generating function, mean deviation, probability weighted moments, quantile function, reliability analysis, and order statistics. We conducted a simulation study to assess the performance of the maximum likelihood estimation procedure for estimating model parameters. The flexibility of the proposed model is illustrated by analyzing two real data sets.

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扩展Lindley分布及其应用

在这项工作中，我们使用Granzotto, Louzada和Balakrishnan(2017)的三次秩嬗变映射方法提出了一个三参数广义Lindley分布。我们推导了一些数学性质的表达式，包括矩和矩生成函数、平均偏差、概率加权矩、分位数函数、可靠性分析和序统计。我们进行了模拟研究，以评估最大似然估计程序估计模型参数的性能。通过对两个实际数据集的分析，说明了该模型的灵活性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.