Different copula types and reliability applications for a new fisk probability model

In this research endeavor, the authors introduce a novel lifetime probability model. This distribution is meticulously examined and characterized, offering insights into its behavior and applicability in various contexts. The proposed new density function of this distribution has various heavy tail...

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Main Authors: Mohammad Abiad, Najwan Alsadat, Meraou M. A, M.M.Abd El-Raouf, Haitham M. Yousof, Anoop Kumar
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Alexandria Engineering Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S111001682401038X
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author Mohammad Abiad
Najwan Alsadat
Meraou M. A
M.M.Abd El-Raouf
Haitham M. Yousof
Anoop Kumar
author_facet Mohammad Abiad
Najwan Alsadat
Meraou M. A
M.M.Abd El-Raouf
Haitham M. Yousof
Anoop Kumar
author_sort Mohammad Abiad
collection DOAJ
description In this research endeavor, the authors introduce a novel lifetime probability model. This distribution is meticulously examined and characterized, offering insights into its behavior and applicability in various contexts. The proposed new density function of this distribution has various heavy tail forms that are useful in the field of reliability, insurance and statistical modeling. This allows for the representation and modeling of a wide range of data sets that are diverse in their form and nature. The new distribution is characterized by having different patterns of risk or failure rates. The researchers extend the new distribution to the bivariate domain through different methods, including the Morgenstern-Farley-Gumbel distribution, the modified Morgenstern-Farley-Gumbel distribution, the famous Clayton mathematical versions, and the Rennie versions. These extensions enhance the usefulness of the proposed distribution in modeling multivariate age and reliability data and dependencies between variables. The study presents some statistical modeling experiments on reliability data and some important comparisons are presented within the framework of some statistical comparison criteria.
format Article
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institution Kabale University
issn 1110-0168
language English
publishDate 2025-01-01
publisher Elsevier
record_format Article
series Alexandria Engineering Journal
spelling doaj-art-428bb1387209461a8509c4622ae74b3a2025-01-09T06:13:15ZengElsevierAlexandria Engineering Journal1110-01682025-01-01110512526Different copula types and reliability applications for a new fisk probability modelMohammad Abiad0Najwan Alsadat1Meraou M. A2M.M.Abd El-Raouf3Haitham M. Yousof4Anoop Kumar5College of Business Administration, American University of the Middle East, KuwaitDepartment of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi ArabiaLaboratory of Statistics and Stochastic Processes, University of Djillali Liabes, BP 89, Sidi Bel, Abbes 22000, AlgeriaBasic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria, EgyptDepartment of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Benha 13511, Egypt; Corresponding author.Department of Statistics, Faculty of Basic Science, Central University of Haryana, Mahendergarh 123031, IndiaIn this research endeavor, the authors introduce a novel lifetime probability model. This distribution is meticulously examined and characterized, offering insights into its behavior and applicability in various contexts. The proposed new density function of this distribution has various heavy tail forms that are useful in the field of reliability, insurance and statistical modeling. This allows for the representation and modeling of a wide range of data sets that are diverse in their form and nature. The new distribution is characterized by having different patterns of risk or failure rates. The researchers extend the new distribution to the bivariate domain through different methods, including the Morgenstern-Farley-Gumbel distribution, the modified Morgenstern-Farley-Gumbel distribution, the famous Clayton mathematical versions, and the Rennie versions. These extensions enhance the usefulness of the proposed distribution in modeling multivariate age and reliability data and dependencies between variables. The study presents some statistical modeling experiments on reliability data and some important comparisons are presented within the framework of some statistical comparison criteria.http://www.sciencedirect.com/science/article/pii/S111001682401038XReliability Fisk ModelLiehmann G FamilyMarshall-Olkin G familyCopulaSimulations ExperimentsEntropy Copula
spellingShingle Mohammad Abiad
Najwan Alsadat
Meraou M. A
M.M.Abd El-Raouf
Haitham M. Yousof
Anoop Kumar
Different copula types and reliability applications for a new fisk probability model
Alexandria Engineering Journal
Reliability Fisk Model
Liehmann G Family
Marshall-Olkin G family
Copula
Simulations Experiments
Entropy Copula
title Different copula types and reliability applications for a new fisk probability model
title_full Different copula types and reliability applications for a new fisk probability model
title_fullStr Different copula types and reliability applications for a new fisk probability model
title_full_unstemmed Different copula types and reliability applications for a new fisk probability model
title_short Different copula types and reliability applications for a new fisk probability model
title_sort different copula types and reliability applications for a new fisk probability model
topic Reliability Fisk Model
Liehmann G Family
Marshall-Olkin G family
Copula
Simulations Experiments
Entropy Copula
url http://www.sciencedirect.com/science/article/pii/S111001682401038X
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AT mmabdelraouf differentcopulatypesandreliabilityapplicationsforanewfiskprobabilitymodel
AT haithammyousof differentcopulatypesandreliabilityapplicationsforanewfiskprobabilitymodel
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