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具有实际和模拟数据应用的新型寿命分布族。

A novel family of lifetime distribution with applications to real and simulated data.

机构信息

Department of Statistics, University of Peshawar, Peshawar, Pakistan.

Institute of Numerical Sciences, Kohat University of Science &Technology, Kohat, Pakistan.

出版信息

PLoS One. 2020 Oct 1;15(10):e0238746. doi: 10.1371/journal.pone.0238746. eCollection 2020.

Abstract

The paper investigates a new scheme for generating lifetime probability distributions. The scheme is called Exponential- H family of distribution. The paper presents an application of this family by using the Weibull distribution, the new distribution is then called New Flexible Exponential distribution or in short NFE. Various statistical properties are derived, such as quantile function, order statistics, moments, etc. Two real-life data sets and a simulation study have been performed so that to assure the flexibility of the proposed model. It has been declared that the proposed distribution offers nice results than Exponential, Weibull Exponential, and Exponentiated Exponential distribution.

摘要

本文研究了一种生成寿命概率分布的新方案。该方案称为指数-H 族分布。本文通过使用威布尔分布对该族进行了应用,新分布随后被称为新型灵活指数分布或简称 NFE。导出了各种统计性质,如分位数函数、顺序统计量、矩等。进行了两个实际数据集和模拟研究,以确保所提出模型的灵活性。已经声明,所提出的分布比指数分布、威布尔指数分布和指数化指数分布提供了更好的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c3a6/7529267/dd93bcf95ad1/pone.0238746.g001.jpg

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