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

doi:10.1063/5.0173532

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

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English
Article number	105008
Journal	AIP Advances
Volume	13
Issue number	10
DOIs	https://doi.org/10.1063/5.0173532
State	Published - 1 Oct 2023
Externally published	Yes

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

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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doi = "10.1063/5.0173532",

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T2 - Properties, estimation, and applications

AU - Belili, Mohamed Cherif

AU - Alshangiti, Arwa M.

AU - Gemeay, Ahmed M.

AU - Zeghdoudi, Halim

AU - Karakaya, Kadir

AU - Bakr, M. E.

AU - Balogun, Oluwafemi Samson

AU - Atchadé, Mintodê Nicodème

AU - Hussam, Eslam

PY - 2023/10/1

Y1 - 2023/10/1

N2 - 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.

AB - 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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VL - 13

JO - AIP Advances

JF - AIP Advances

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ER -

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

Abstract

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