WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Bayesian Analysis of the Length-Biased Nakagami Distribution
under Different Loss Functions
Authors: , ,
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.
Keywords:
Length-biased Nakagami distribution, Length-biased distribution, Bayesian estimation, Maximum
likelihood estimation, Inverse gamma prior, Loss functions
Pages: 671-683 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #67 DOI: 10.37394/23206.2025.24.67
