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396748

Parametric Estimation under Type I Censoring Geometric Distribution with Missing Data

Article

Last updated: 05 Jan 2025

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Abstract

This manuscript's main objective is to estimate the geometric distribution's parameters using progressive type-I censored data with missing data. The efficiency of estimators is studied. Moreover, the estimators' consistency property is shown. To produce the estimators, the maximum likelihood technique is performed. The geometric distribution is applied to n = 10, 30, and 50 to create samples. The initial values are set as , = 0.2 for one geometric population and  = 0.15 for a general parameter involving two geometric populations. = 5,10, and 15 are the censored times. Missing data (δ=η=0) has a percentage of 0.1, 0.2, 0.3, 0.5, and 0.7. The bias criterion and the root mean square error (RMSE) are applied. The outcomes for each of the one and two populations revealed a number of significant markers. Both the bias and the root mean square error increase in percentage to the amount of missing data. Conversely, the bias and root mean square error decreases with increasing sample size and censoring time.

DOI

10.21608/esju.2024.278969.1028

Keywords

Geometric Distribution, Missing Data, Maximum likelihood estimators, Type-I Censored and Mean Square Error

Authors

First Name

Naglaa

Last Name

Morad

MiddleName

Abdelmoneim

Affiliation

Department of Applied Statistics and Econometrics, Faculty of Graduate Studies for Statistical Research, 12613, Cairo University, Egypt

Email

naglaa_morad@yahoo.com

City

-

Orcid

0009-0006-4660-3642

Volume

68

Article Issue

2

Related Issue

52073

Issue Date

2024-12-01

Receive Date

2024-03-24

Publish Date

2024-12-01

Page Start

1

Page End

14

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_396748.html

Detail API

https://esju.journals.ekb.eg/service?article_code=396748

Order

1

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Parametric Estimation under Type I Censoring Geometric Distribution with Missing Data

Details

Type

Article

Created At

28 Dec 2024