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313554

Differential Operators Approach to Moments for Family of Lerch Distribution

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Last updated: 05 Jan 2025

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Abstract

In fact Lerch family with three parameters discrete distribution is not an easy family to be handled in the sense of moments. In this paper we derived the truncation forms of Lerch distribution with conditions on the parameters which satisfy the existence and convergence for the infinite series which the distributions depend on them. The main purpose of this paper is to use the differential operators to derive all moments. These operators are useful in situation where directly derivation of moment generating functions for them may be quite difficult. So it's easy to derive higher moments and study the skewness and kurtosis for distributions of the Lerch family.  

DOI

10.21608/esju.2005.313554

Keywords

Lerch Distribution - Differential Operator, Mean -Variance, Skewness - Kurtosis

Volume

49

Article Issue

1

Related Issue

42993

Issue Date

2005-06-01

Publish Date

2005-06-01

Page Start

38

Page End

52

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313554.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313554

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3

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Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Differential Operators Approach to Moments for Family of Lerch Distribution

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Article

Created At

28 Dec 2024