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

被引：19

作者：

Ahmad, Aijaz ^{[1
]}

Alsadat, Najwan ^{[2
]}

Atchade, Mintode Nicodeme ^{[3
]}

ul Ain, S. Qurat ^{[1
]}

Gemeay, Ahmed M. ^{[4
]}

Meraou, Mohammed Amine ^{[5
]}

Almetwally, Ehab M. ^{[6
]}

Hossain, Md. Moyazzem ^{[7
]}

Hussam, Eslam ^{[8
]}

机构：

[1] Bhagwant Univ, Dept Math, Ajmer, India

[2] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, POB 71115, Riyadh 11587, Saudi Arabia

[3] Natl Univ Sci Technol Engn & Math, Abomey, Benin

[4] Tanta Univ, Fac Sci, Dept Math, Tanta 31527, Egypt

[5] Univ Djillali Liabes Sidi Bel Abbes, Lab Stat & Stochast Proc, BP 89, Sidi Bel Abbes 22000, Algeria

[6] Delta Univ Sci & Technol, Fac Business Adm, Gamasa 11152, Egypt

[7] Newcastle Univ, Sch Math Stat & Phys, Newcastle Upon Tyne, England

[8] Helwan Univ, Fac Sci, Dept Math, Cairo, Egypt

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2023年 / 73卷

关键词：

Hyperbolic sine function; Rayleigh distribution; Moments; Ageing indicators; Simulation; Maximum likelihood; estimation; REAL DATA; FAMILY;

D O I：

10.1016/j.aej.2023.04.048

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

引用

页码：415 / 426

页数：12

共 42 条

[1] Abubakari A.G., 2023, Comput. J. Math. Stat. Sci., P80
[2] Power-Modified Kies-Exponential Distribution: Properties, Classical and Bayesian Inference with an Application to Engineering Data
Afify, Ahmed Z.
Gemeay, Ahmed M.
Alfaer, Nada M.
Cordeiro, Gauss M.
Hafez, Eslam H.
[J]. ENTROPY, 2022, 24 (07)
[3] Ahmad Z., 2019, J DATA SCI, V17, P726, DOI [DOI 10.6339/JDS.201910_17(4).0006, 10.6339/JDS.201910_17(4).0006]
[4] Aijaz A., 2021, ADV APPL MATH SCI, V20, P2853
[5] Aijaz A., 2022, Reliability Theory and Applications, V17, P42
[6] Aijaz A., 2021, Reliability Theory and Applications, V16, P364
[7] Alizadeh M., 2015, Journal of the Egyptian Mathematical Society, V23, P546, DOI [10.1016/j.joems.2014.12.002, DOI 10.1016/J.JOEMS.2014.12.002]
[8] The Gompertz-G family of distributions
Alizadeh M.
Cordeiro G.M.
Pinho L.G.B.
Ghosh I.
[J]. Journal of Statistical Theory and Practice, 2017, 11 (1) : 179 - 207
[9] The Arctan-X Family of Distributions: Properties, Simulation, and Applications to Actuarial Sciences
Alkhairy, Ibrahim
Nagy, M.
Muse, Abdisalam Hassan
Hussam, Eslam
[J]. COMPLEXITY, 2021, 2021
[10] Almetwally E.M., 2022, Comput. J. Math. Stat. Sci, V1, P26, DOI [10.21608/cjmss.2022.271186, DOI 10.21608/CJMSS.2022.271186]

← 1 2 3 4 5 →