THERMAL SCIENCE

International Scientific Journal

Muhammad Farooq

,

Muhammad Mohsin

,

Muhammad Naeem

,

Muhammad Farman

,

Ali Akgül

,

Muhammad Umar Saleem

DISCRETIZATION OF THE METHOD OF GENERATING AN EXPANDED FAMILY OF DISTRIBUTIONS BASED UPON TRUNCATED DISTRIBUTIONS

ABSTRACT
Discretization translates the continuous functions into discrete version making them more adaptable for numerical computation and application in applied mathematics and computer sciences. In this article, discrete analogues of a generalization method of generating a new family of distributions is provided. Several new discrete distributions are derived using the proposed methodology. A discrete Weibull-Geometric distribution is considered and various of its significant characteristics including moment, survival function, reliability function, quantile function, and order statistics are discussed. The method of maximum likelihood and the method of moments are used to estimate the model parameters. The performance of the proposed model is probed through a real data set. A comparison of our model with some existing models is also given to demonstrate its efficiency.
KEYWORDS
Beta generated distributions, Discrete analogue, Method of Moment, Truncated distribution, T-X family of distributions
PAPER SUBMITTED: 2020-05-05
PAPER REVISED: 2020-11-09
PAPER ACCEPTED: 2020-11-12
PUBLISHED ONLINE: 2021-01-24
DOI REFERENCE: https://doi.org/10.2298/TSCI200605003F
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 1, PAGES [19 - 30]
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Discretization of the method of generating an expanded family of distributions based upon truncated distributions

© 2024 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