A New Probability Distribution: Theory, Simulation and Real Application

Al-Noor, Nadia Hashim and Elobaid, Rafida M. and Obaiys, Suzan J. (2024) A New Probability Distribution: Theory, Simulation and Real Application. In: Computational Science and Its Applications-ICCSA 2024 Workshops, Pt II, 1-4 July 2024, Hanoi, VIETNAM.

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Official URL: https://doi.org/10.2174/10.1007/978-3-031-65223-3_...

Abstract

Developing and implementing innovative statistical distributions is an exciting field of study where different statistical models are established and proposed for data modeling in various sectors. The prime goal of this paper is to propose a novel probability distribution for analyzing real datasets. The new distribution is named the truncated Rayleigh odd Weibull Lomax (TROWL) distribution. Several statistical properties along with the entropy and reliability measures are derived. The maximum likelihood estimators of the unknown parameters are obtained. A simulation study is also provided. To illustrate the usefulness of TROWL distribution, a practical application is presented, where the comparison of the TROWL distribution is made with common competing probability models. Based on four information criterion quantities, it is observed that the new distribution is the best competing model for analyzing the considered real data.

Item Type: Conference or Workshop Item (Paper)
Funders: UNSPECIFIED
Additional Information: 24th International Conference on Computational Science and Its Applications (ICCSA), Hanoi, VIETNAM, JUL 01-04, 2024
Uncontrolled Keywords: Lomax Distribution; Truncated Rayleigh Odd Weibull; Statistical Properties
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Computer Science & Information Technology > Department of Computer System & Technology
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 20 Jan 2025 04:45
Last Modified: 20 Jan 2025 04:45
URI: http://eprints.um.edu.my/id/eprint/47623

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