424613

E-Bayesian Estimation for The Parameter of Inverse Weibull Distribution Based on Lower Records

Article

Last updated: 04 May 2025

Subjects

-

Tags

Mathematics and Computer Science

Abstract

A lower record sample is utilized to derive E-Bayesian (EB) estimates for the rate parameter of the inverse Weibull distribution. These estimates are developed under two different error loss functions: the scaled squared error loss (SSE) function and the linear exponential error loss (LINEX) function. The expected mean squared errors (E-MSEs) of these EB estimates are computed in order to evaluate the accuracy and dependability of these estimates. An exhaustive Monte Carlo simulation research is carried out in order to carry out a detailed comparison of the performance of different estimators. This simulation can be used to better understand how the estimators behave and how resilient they are under different scenarios and sample sizes. The analysis of two real-world data sets offers a further illustration of how the presented approaches can be used in practice. These examples further validate the usefulness of the EB estimates in statistical inference and decision-making processes by demonstrating how well they simulate real-life data.

DOI

10.21608/aunj.2025.350016.1114

Keywords

EB estimation, E-MSE, Inverse Weibull distribution, loss functions, Monte Carlo simulation

Authors

First Name

Heba

Last Name

Mohammed

MiddleName

Shawky

Affiliation

Department of Mathematics, Faculty of Science, New Valley University, EL-Khargah , Egypt

Email

heba.shawky@sci.nvu.edu.eg

City

-

Orcid

0000-0001-8870-2194

Volume

54

Article Issue

2

Related Issue

55339

Issue Date

2025-05-01

Receive Date

2025-01-05

Publish Date

2025-05-01

Page Start

254

Page End

279

Print ISSN

2812-5029

Online ISSN

2812-5037

Link

https://aunj.journals.ekb.eg/article_424613.html

Detail API

http://journals.ekb.eg?_action=service&article_code=424613

Order

424,613

Type

Novel Research Articles

Type Code

2,242

Publication Type

Journal

Publication Title

Assiut University Journal of Multidisciplinary Scientific Research

Publication Link

https://aunj.journals.ekb.eg/

MainTitle

E-Bayesian Estimation for The Parameter of Inverse Weibull Distribution Based on Lower Records

Details

Type

Article

Created At

04 May 2025