Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2017-01-16 DOI:10.15446/RCE.V40N1.50085

M. Shahzad, Faton Merovci, Zahid B Asghar

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引用次数: 1

Abstract

The Singh-Maddala distribution is very popular to analyze the data on income, expenditure, actuarial, environmental, and reliability related studies. To enhance its scope and application, we propose four parameters transmuted Singh-Maddala distribution, in this study. The proposed distribution is relatively more flexible than the parent distribution to model a variety of data sets. Its basic statistical properties, reliability function, and behaviors of the hazard function are derived. The hazard function showed the decreasing and an upside-down bathtub shape that is required in various survival analysis. The order statistics and generalized TL-moments with their special cases such as L-, TL-, LL-, and LH-moments are also explored. Furthermore, the maximum likelihood estimation is used to estimate the unknown parameters of the transmuted Singh-Maddala distribution. The real data sets are considered to illustrate the utility and potential of the proposed model. The results indicate that the transmuted Singh-Maddala distribution models the datasets better than its parent distribution.

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变形Singh-Maddala分布:一种新的柔性倒浴盆形危险函数分布

Singh-Maddala分布在分析收入、支出、精算、环境和可靠性相关研究数据时非常受欢迎。为了扩大Singh-Maddala分布的适用范围和应用范围，本文提出了四个参数。在对各种数据集进行建模时，所建议的分布比父分布相对更灵活。推导了其基本统计性质、可靠度函数和危害函数的行为。危险函数显示出在各种生存分析中需要的下降和倒置的浴缸形状。本文还探讨了阶统计量和广义TL-矩及其特殊情况，如L-、TL-、LL-和lh -矩。此外，利用极大似然估计估计了变形Singh-Maddala分布的未知参数。考虑了实际数据集来说明所提出模型的实用性和潜力。结果表明，转换后的Singh-Maddala分布比其父分布更能反映数据集。

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.