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388755

On Zero Truncated Poisson- Muth Distribution

Article

Last updated: 04 Jan 2025

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Abstract

Abstract

This paper introduces a novel statistical distribution, the Zero-Truncated Poisson Muth (ZTPM) Distribution, which is particularly useful for analyzing datasets that exclude zero values. The research thoroughly investigates the statistical properties of this distribution, including its probability density function (PDF), cumulative distribution function (CDF), survival function, and hazard rate function. These properties provide a comprehensive framework for understanding the behavior of the distribution in various applied contexts. Parameter estimation is conducted using the Maximum Likelihood Estimation (MLE) method, which is evaluated under a range of parameter values and sample sizes. Additionally, the study derives key moments of the distribution, such as the mean and variance, and provides an in-depth analysis of order statistics. Measures of skewness and kurtosis are also calculated to assess the shape of the distribution. Practical applications highlight the flexibility and usefulness of the ZTPM distribution in handling non-zero datasets, particularly in fields like reliability engineering and survival analysis. The ZTPM distribution proves to be an effective model for parameter estimation and data analysis in scenarios where zero-truncated data is common.

DOI

10.21608/jsst.2024.327144.1886

Keywords

Zero-Truncated Poisson Muth, Maximum Likelihood Method, skewness, kurtosis, Order Statistics

Authors

First Name

nader

Last Name

fathi

MiddleName

-

Affiliation

کلية التجارة جامعة الأزهر

Email

mu.nader.sh2010@gmail.com

City

-

Orcid

-

First Name

Ahmed Abdel Rahim

Last Name

Hussein

MiddleName

-

Affiliation

المنصورة

Email

ahmedegypt1985@yahoo.com

City

المنصورة

Orcid

-

First Name

Tamer

Last Name

Hassan

MiddleName

-

Affiliation

جامعة الأزهر كلية التجارة قسم الاحصاء

Email

tamerhassan78@hotmail.com

City

الق

Orcid

-

First Name

Mohamed

Last Name

Abdelkader

MiddleName

-

Affiliation

جامعة الأزهر كلية التجارة قسم الاحصاء

Email

mohamed.abdelkader1@gmail.com

City

-

Orcid

0009-0008-9790-6146

First Name

Abd El-Hamid

Last Name

Eisa

MiddleName

-

Affiliation

قسم الإحصاء- كلية التجارة بنين -جامعة الأزهر

Email

abdo.easa2012@gmail.com

City

طنطا

Orcid

000900050557930

Volume

26

Article Issue

1

Related Issue

49795

Issue Date

2025-01-01

Receive Date

2024-10-09

Publish Date

2025-01-01

Page Start

426

Page End

446

Print ISSN

2090-5327

Online ISSN

2682-3543

Link

https://jsst.journals.ekb.eg/article_388755.html

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https://jsst.journals.ekb.eg/service?article_code=388755

Order

388,755

Type

المقالة الأصلية

Type Code

1,048

Publication Type

Journal

Publication Title

مجلة البحوث المالية والتجارية

Publication Link

https://jsst.journals.ekb.eg/

MainTitle

On Zero Truncated Poisson- Muth Distribution

Details

Type

Article

Created At

30 Dec 2024