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journal article·2023-10-01Open access

Two-parameter family of distributions: Properties, estimation, and applications

Mohamed Cherif Belili, Arwa M. Alshangiti, Ahmed M. Gemeay, Halim Zeghdoudi, Kadir Karakaya, M. E. Bakr, Oluwafemi Samson Balogun, Mintodê Nicodème Atchadé, Eslam Hussam

AIP Advances· Volume 13· Issue 10
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Source abstract

Abstract

In this paper, a new flexible two-parameter family of distributions is introduced. Some mathematical properties, such as asymptotic behavior, moments, stochastic order, entropy, and quantile function, are examined. A special case of this family is introduced called Gemeay–Zeghdoudi distribution. The unknown parameters of the Gemeay–Zeghdoudi distribution are estimated via many estimators. The efficiency of the estimators is compared with a Monte Carlo simulation. The applicability of the new distribution is illustrated by the annual maximum flood and survival times of patients with breast cancer real data analyses.
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Research context

OpenAlex topics: Statistical Distribution Estimation and Applications · Hydrology and Drought Analysis · Probabilistic and Robust Engineering Design

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

LaPS laboratory, Badji Mokhtar-Annaba University 1 , Annaba 23000, Algeria

Department of Statistics and Operations Research, College of Science, King Saud University 2 , P.O. Box 2455, Riyadh 11451, Saudi Arabia

Department of Mathematics, Faculty of Science, Tanta University 3 , Tanta 31527, Egypt

Department of Statistics, Faculty of Sciences, Selcuk University 4 , Konya, Türkiye

Department of Computing, University of Eastern Finland 5 , FI-70211 Kuopio, Finland

National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics 6 , Abomey, Benin Republic

Department of Mathematics, Faculty of Science, Helwan University 7 , Cairo, Egypt

Funding

King Saud University

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