A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields
Over the past few decades, a new area of reliability known as classes of life distributions has developed as a result of the creation of metrics for evaluating the success or failure of reliability. This paper proposes a new reliability class-test statistic for life distributions. In some reliabilit...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/4/331 |
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| author | Walid B. Etman Mahmoud El-Morshedy Mohamed S. Eliwa Amani Almohaimeed Rashad M. EL-Sagheer |
| author_facet | Walid B. Etman Mahmoud El-Morshedy Mohamed S. Eliwa Amani Almohaimeed Rashad M. EL-Sagheer |
| author_sort | Walid B. Etman |
| collection | DOAJ |
| description | Over the past few decades, a new area of reliability known as classes of life distributions has developed as a result of the creation of metrics for evaluating the success or failure of reliability. This paper proposes a new reliability class-test statistic for life distributions. In some reliability processes, such as convolution, mixture, and homogeneous shock models, the closure characteristics of the proposed class-test statistic are investigated. To compare the proposed class-test against some competitive tests, the Weibull, linear failure rate (LFR), and Makeham distributions are evaluated. In addition, the relationship between sample size, level of confidence, and critical values is considered to assess the efficacy of the proposed class-test. Furthermore, a Monte Carlo null distribution critical points simulation and some applications of the censored and uncensored data are performed to demonstrate the validity of the proposed class-test in reliability analysis. |
| first_indexed | 2024-03-11T05:14:56Z |
| format | Article |
| id | doaj.art-5dce54fefa3940eb87cfba0aa39c5d08 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T05:14:56Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-5dce54fefa3940eb87cfba0aa39c5d082023-11-17T18:18:55ZengMDPI AGAxioms2075-16802023-03-0112433110.3390/axioms12040331A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical FieldsWalid B. Etman0Mahmoud El-Morshedy1Mohamed S. Eliwa2Amani Almohaimeed3Rashad M. EL-Sagheer4Faculty of Computer and Artificial Intelligence, Modern University for Technology and Information, Cairo 12613, EgyptDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Statistics and Operation Research, College of Science, Qassim University, Buraydah 51482, Saudi ArabiaDepartment of Statistics and Operation Research, College of Science, Qassim University, Buraydah 51482, Saudi ArabiaMathematics Department, Faculty of Science, Al-Azhar University, Naser City, Cairo 11884, EgyptOver the past few decades, a new area of reliability known as classes of life distributions has developed as a result of the creation of metrics for evaluating the success or failure of reliability. This paper proposes a new reliability class-test statistic for life distributions. In some reliability processes, such as convolution, mixture, and homogeneous shock models, the closure characteristics of the proposed class-test statistic are investigated. To compare the proposed class-test against some competitive tests, the Weibull, linear failure rate (LFR), and Makeham distributions are evaluated. In addition, the relationship between sample size, level of confidence, and critical values is considered to assess the efficacy of the proposed class-test. Furthermore, a Monte Carlo null distribution critical points simulation and some applications of the censored and uncensored data are performed to demonstrate the validity of the proposed class-test in reliability analysis.https://www.mdpi.com/2075-1680/12/4/331agingconvolutionPoisson shock modelsimulationgoodness-of-fit approachCOVID-19 |
| spellingShingle | Walid B. Etman Mahmoud El-Morshedy Mohamed S. Eliwa Amani Almohaimeed Rashad M. EL-Sagheer A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields Axioms aging convolution Poisson shock model simulation goodness-of-fit approach COVID-19 |
| title | A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields |
| title_full | A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields |
| title_fullStr | A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields |
| title_full_unstemmed | A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields |
| title_short | A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields |
| title_sort | new reliability class test statistic for life distributions under convolution mixture and homogeneous shock model characterizations and applications in engineering and medical fields |
| topic | aging convolution Poisson shock model simulation goodness-of-fit approach COVID-19 |
| url | https://www.mdpi.com/2075-1680/12/4/331 |
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