与Borel-Taner分布有关的一些结构性质及其应用

Q3 Business, Management and Accounting

American Journal of Mathematical and Management Sciences Pub Date : 2023-02-24 DOI:10.1080/01966324.2023.2175631

I. Ghosh, J. Tanley

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引用次数: 0

摘要

摘要具有两个形状参数和r的Borel-Tanner分布对泊松分布、泊松分布的其他混合物和其他几个离散分布具有一定的影响力，因为它可以应用于欠分散和过分散的计数数据。在这篇文章中，研究了一些以前没有探索过的结构性质，包括连续概率之间的递归关系。为了便于说明，将考虑两个真实的数据集来显示该分布的适用性，并为此目的重新分析。

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Some Structural Properties Related to the Borel-Taner Distribution and its’ Application

Abstract The Borel-Tanner distribution, with two shape parameters, and r, has some leverage over the Poisson distribution, other mixtures of the Poisson distribution, and several other discrete distributions, as it can be applied to both under and over-dispersed count data. In this article, some structural properties are studied that have not been explored earlier including recursive relation between successive probabilities. For illustrative purposes, two real-life data sets will be considered to show the applicability of this distribution that are re-analyzed for this purpose.

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来源期刊

American Journal of Mathematical and Management Sciences Business, Management and Accounting-Business, Management and Accounting (all)

CiteScore

2.70

自引率

0.00%

发文量