离散数据拟合的新分布:泊松-金分布及其统计性质

IF 0.6 Q4 STATISTICS & PROBABILITY

Austrian Journal of Statistics Pub Date : 2021-07-15 DOI:10.17713/AJS.V50I4.1091

A. Hanandeh, Amjad D. Al-Nasser

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引用次数: 2

摘要

本文主要从寿命问题出发，提出了一种新的寿命分布，即离散泊松-金分布。推导了新分布的不同结构性质，包括矩生成函数和$r^{th}$矩等。此外，我们讨论了新分布的各种重要数学性质，包括使用极大似然和矩量法估计分布参数的估计过程。通过两个实际数据的应用，说明了该分布的有效性和可信性，证明了其优于其他一些已知的寿命分布，并证明了其在实际应用中的通用性。

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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New Distribution for Fitting Discrete Data: The Poisson-Gold Distribution and Its Statistical Properties

Motivated mainly by lifetime issues, a new lifetime distribution coined ``Discrete Poisson-Gold distribution'' is introduced in this paper. Different structural properties of the new distribution are derived including moment generating function and the $r^{th}$ moment and others are presented. In addition, we discussed various important mathematical properties of the new distribution including estimation procedures for estimating the distribution parameters using the maximum likelihood and method of moments. The usefulness and credibility of the distribution are illustrated by means of two real-data applications to show its superior performance over some other well-known lifetime distributions and to prove its versatility in practical applications.

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来源期刊

Austrian Journal of Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Austrian Journal of Statistics is an open-access journal (without any fees) with a long history and is published approximately quarterly by the Austrian Statistical Society. Its general objective is to promote and extend the use of statistical methods in all kind of theoretical and applied disciplines. The Austrian Journal of Statistics is indexed in many data bases, such as Scopus (by Elsevier), Web of Science - ESCI by Clarivate Analytics (formely Thompson & Reuters), DOAJ, Scimago, and many more. The current estimated impact factor (via Publish or Perish) is 0.775, see HERE, or even more indices HERE. Austrian Journal of Statistics ISNN number is 1026597X Original papers and review articles in English will be published in the Austrian Journal of Statistics if judged consistently with these general aims. All papers will be refereed. Special topics sections will appear from time to time. Each section will have as a theme a specialized area of statistical application, theory, or methodology. Technical notes or problems for considerations under Shorter Communications are also invited. A special section is reserved for book reviews.