New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry

Aijaz Ahmad; Najwan Alsadat; Mintodê Nicodème Atchadé; S. Qurat ul Ain; Ahmed M. Gemeay; Mohammed Amine Meraou; Ehab M. Almetwally; Md Moyazzem Hossain; Eslam Hussam

doi:10.1016/j.aej.2023.04.048

New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry

Aijaz Ahmad, Najwan Alsadat, Mintodê Nicodème Atchadé, S. Qurat ul Ain, Ahmed M. Gemeay, Mohammed Amine Meraou, Ehab M. Almetwally, Md Moyazzem Hossain, Eslam Hussam

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

29 Scopus citations

Abstract

This study focuses on a novel family of distributions inspired by the hyperbolic sine function. The Rayleigh distribution is the base model for the newly formed family of distributions known as the new hyperbolic Sine-Rayleigh distribution. The recommended distribution's distinct structural traits have been examined. The behaviors of the distributional functions of the proposed model are depicted in several figures. The maximum likelihood estimation procedure is employed to estimate the specified distribution parameters. A simulation study was carried out to examine and evaluate the behavior of the estimators. Moreover, the efficacy of the specified distribution is supported by realistic data sets pertaining to engineering science.

Original language	English
Pages (from-to)	415-426
Number of pages	12
Journal	Alexandria Engineering Journal
Volume	73
DOIs	https://doi.org/10.1016/j.aej.2023.04.048
State	Published - 15 Jul 2023
Externally published	Yes

Keywords

Ageing indicators
Hyperbolic sine function
Maximum likelihood estimation
Moments
Rayleigh distribution
Simulation

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10.1016/j.aej.2023.04.048

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title = "New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry",

abstract = "This study focuses on a novel family of distributions inspired by the hyperbolic sine function. The Rayleigh distribution is the base model for the newly formed family of distributions known as the new hyperbolic Sine-Rayleigh distribution. The recommended distribution's distinct structural traits have been examined. The behaviors of the distributional functions of the proposed model are depicted in several figures. The maximum likelihood estimation procedure is employed to estimate the specified distribution parameters. A simulation study was carried out to examine and evaluate the behavior of the estimators. Moreover, the efficacy of the specified distribution is supported by realistic data sets pertaining to engineering science.",

keywords = "Ageing indicators, Hyperbolic sine function, Maximum likelihood estimation, Moments, Rayleigh distribution, Simulation",

author = "Aijaz Ahmad and Najwan Alsadat and Atchad{\'e}, \{Mintod{\^e} Nicod{\`e}me\} and \{Qurat ul Ain\}, S. and Gemeay, \{Ahmed M.\} and Meraou, \{Mohammed Amine\} and Almetwally, \{Ehab M.\} and Hossain, \{Md Moyazzem\} and Eslam Hussam",

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year = "2023",

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doi = "10.1016/j.aej.2023.04.048",

language = "English",

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T2 - Simulation and data analysis in industry

AU - Ahmad, Aijaz

AU - Alsadat, Najwan

AU - Atchadé, Mintodê Nicodème

AU - Qurat ul Ain, S.

AU - Gemeay, Ahmed M.

AU - Meraou, Mohammed Amine

AU - Almetwally, Ehab M.

AU - Hossain, Md Moyazzem

AU - Hussam, Eslam

PY - 2023/7/15

Y1 - 2023/7/15

N2 - This study focuses on a novel family of distributions inspired by the hyperbolic sine function. The Rayleigh distribution is the base model for the newly formed family of distributions known as the new hyperbolic Sine-Rayleigh distribution. The recommended distribution's distinct structural traits have been examined. The behaviors of the distributional functions of the proposed model are depicted in several figures. The maximum likelihood estimation procedure is employed to estimate the specified distribution parameters. A simulation study was carried out to examine and evaluate the behavior of the estimators. Moreover, the efficacy of the specified distribution is supported by realistic data sets pertaining to engineering science.

AB - This study focuses on a novel family of distributions inspired by the hyperbolic sine function. The Rayleigh distribution is the base model for the newly formed family of distributions known as the new hyperbolic Sine-Rayleigh distribution. The recommended distribution's distinct structural traits have been examined. The behaviors of the distributional functions of the proposed model are depicted in several figures. The maximum likelihood estimation procedure is employed to estimate the specified distribution parameters. A simulation study was carried out to examine and evaluate the behavior of the estimators. Moreover, the efficacy of the specified distribution is supported by realistic data sets pertaining to engineering science.

KW - Ageing indicators

KW - Hyperbolic sine function

KW - Maximum likelihood estimation

KW - Moments

KW - Rayleigh distribution

KW - Simulation

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VL - 73

SP - 415

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JO - Alexandria Engineering Journal

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ER -

New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry

Abstract

Keywords

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