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
Affiliation
Department of Mathematics, Faculty of Science, New Valley University, EL-Khargah , Egypt
Email
heba.shawky@sci.nvu.edu.eg
City
-Link
https://aunj.journals.ekb.eg/article_424613.html
Detail API
http://journals.ekb.eg?_action=service&article_code=424613
Type
Novel Research Articles
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