• Bayesian Analysis of the Length-Biased Nakagami Distribution under Different Loss Functions

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Document Title

Bayesian Analysis of the Length-Biased Nakagami Distribution under Different Loss Functions

Name from Authors Collection

Khansai N.

|

Abdullahi I.

|

Phaphan W.

Affiliations

Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand; Technology and Informatics Institute for Sustainability, National Metal and Materials Technology Center, National Science and Technology Development Agency, Pathum Thani, 12120, Thailand; Department of Mathematics and Statistics, Faculty of Science, Yobe State University, Damaturu, 500501, Nigeria; Department of Applied Statistics, Faculty of Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand; Research Group in Statistical Learning and Inference, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand

Source Title

WSEAS Transactions on Mathematics

ISSN

11092769

Year

2025

Volume

24

Page

671-683

Open Access

All Open Access; Gold Open Access

Publisher

World Scientific and Engineering Academy and Society

DOI

10.37394/23206.2025.24.67

Abstract

This paper provides a Bayesian framework for estimating parameters of the length-biased Nakagami (LBN) distribution. We derive the maximum likelihood estimator (MLE) and Bayesian estimators under three different loss functions: the squared error loss function, the quadratic loss function, and the precautionary loss function. A simulation study is conducted to compare the performance of three different loss functions and the MLE with a fixed shape parameter. Moreover, a real data application illustrates the performance of these estimators. © 2025, World Scientific and Engineering Academy and Society. All rights reserved.

License

CC BY

Rights

Authors

Publication Source

Scopus

Publication Source

Scopus

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