THERMAL SCIENCE

International Scientific Journal

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Hanaa Abu-Zinadah

,

Dalal Aljadani

ESTIMATION OF INVERSE ISHITA DISTRIBUTION WITH APPLICATION ON REAL DATA

ABSTRACT
In this article, a new lifetime distribution named "inverse Ishita" with one parameter for modelling lifetime data is presented as a good alternative to known one-parameter distributions. Moreover, two types of estimation: point estimation and interval estimation are used to estimate the unknown parameter. Furthermore, numerical simulation is conducted to evaluate the performance of estimates at different parameter values and different sample sizes. Ultimately, to illustrate the flexibility and efficiency of the distribution, it was applied to a set of data and compared to the Weibull and Shanker distributions. It was found that the inverse Ishita distribution was a better fit for the data than the other distributions.
KEYWORDS
inverse Ishita distribution, maximum likelihood estimator, least squares estimator, weighted least squares estimator, percentile estimator
PAPER SUBMITTED: 2024-06-10
PAPER REVISED: 2024-08-13
PAPER ACCEPTED: 2024-10-23
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406843A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [4843 - 4853]
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Estimation of inverse Ishita distribution with application on real data

2025 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