THERMAL SCIENCE

International Scientific Journal

Caner Taniş

,

Buğra Saracoglu

COMPARISONS OF SIX DIFFERENT ESTIMATION METHODS FOR LOG-KUMARASWAMY DISTRIBUTION

ABSTRACT
In this paper, it is considered the problem of estimation of unknown parameters of log-Kumaraswamy distribution via Monte Carlo simulations. Firstly, it is described six different estimation methods such as maximum likelihood, approximate bayesian, least-squares, weighted least-squares, percentile and Crámer-von-Mises. Then, it is performed a Monte Carlo simulation study to evaluate the performances of these methods according to the biases and mean-squared errors (MSEs) of the estimators. Furthermore, two real data applications based on carbon fibers and the gauge lengths are presented to compare the fits of log-Kumaraswamy and other fitted statistical distributions.
KEYWORDS
log-Kumaraswamy distribution, Crámer-von-Mises estimation method, Least-squares estimation, Maximum likelihood estimation, Percentile estimation, Monte Carlo simulation
PAPER SUBMITTED: 2019-04-11
PAPER REVISED: 2019-07-25
PAPER ACCEPTED: 2019-08-01
PUBLISHED ONLINE: 2019-09-15
DOI REFERENCE: https://doi.org/10.2298/TSCI190411344T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [1839 - 1847]
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Comparisons of six different estimation methods for log-Kumaraswamy distribution

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence