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270897

Bayesian and Non-Bayesian Estimation Methods for Simulating the Parameter of the Akshaya Distribution

Article

Last updated: 05 Jan 2025

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Subjects

-

Tags

Mathematical Statistics
Statistical computing

Abstract

 The "Akshaya distribution" is a model one-parameter continuous distribution that has been proposed by [15] for modelling lifetime data from biological research and engineering. This paper presents both the classical and Bayesian estimation methods for the Akshaya's parameter. The model parameter is determined using the weighted least square estimation (WLSE), least square estimation(LSE), Cramer-von-Mises estimation(CVME), and maximum likelihood estimation (MLE), five conventional estimation methods. Additionally, the squared error loss function and Bayesian estimation(BE) under independent gamma priors were used to determine the parameter of the proposed distribution. Finally, the applicability and utility of the proposed distribution is elaborated using simulation study. 

DOI

10.21608/cjmss.2022.270897

Keywords

Akshaya distribution, Bayesian procedure, Maximum likelihood estimation, Anderson-Darling estimation, Cramer-von-Mises estimation least square estimation, Weighted least square estimation

Authors

First Name

Ahlam.

Last Name

Tolba

MiddleName

H.

Affiliation

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 33516, Egypt

Email

a.hamdy6@yahoo.com

City

-

Orcid

-

Volume

1

Article Issue

1

Related Issue

37729

Issue Date

2022-11-01

Receive Date

2022-09-17

Publish Date

2022-11-01

Page Start

13

Page End

25

Print ISSN

2974-3435

Online ISSN

2974-3443

Article File

CJMSS_Volume 1_Issue 1_Pages 13-25.pdf

PDF . 378.3kB

Link

https://cjmss.journals.ekb.eg/article_270897.html

Detail API

https://cjmss.journals.ekb.eg/service?article_code=270897

Order

2

Type

Original Article

Type Code

2,545

Publication Type

Journal

Publication Title

Computational Journal of Mathematical and Statistical Sciences

Publication Link

https://cjmss.journals.ekb.eg/

MainTitle

Bayesian and Non-Bayesian Estimation Methods for Simulating the Parameter of the Akshaya Distribution

Details

Type

Article

Created At

23 Jan 2023