Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis Testing
Probability life distributions usually describe the time to an event or survival time. Therefore, these life distributions play a crucial role in the analysis and projection of maximum life expectancy using the goodness of fit approach for nonparametric hypothesis testing. This study suggests a nonp...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/9/1735 |
| _version_ | 1797576616702902272 |
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| author | Mahmoud E. Bakr |
| author_facet | Mahmoud E. Bakr |
| author_sort | Mahmoud E. Bakr |
| collection | DOAJ |
| description | Probability life distributions usually describe the time to an event or survival time. Therefore, these life distributions play a crucial role in the analysis and projection of maximum life expectancy using the goodness of fit approach for nonparametric hypothesis testing. This study suggests a nonparametric technique to determine whether the data follow an exponential distribution or belong to the mathematical class of the moment generating function for used better than aged (UBAmgf). These tests can be applied to both censored and non-censored data. The upper percentile points of the test statistics are generated, and the suggested test’s asymptotic normality is established. Some well-known alternative asymmetric probability models are used to compute the Pitman asymptotic relative efficiency (PARE) and powers of the proposed test. To demonstrate the paper’s conclusions, some asymmetric real-world datasets are examined. |
| first_indexed | 2024-03-10T21:54:28Z |
| format | Article |
| id | doaj.art-521136cbde8d4568b64150307336bc30 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T21:54:28Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-521136cbde8d4568b64150307336bc302023-11-19T13:11:54ZengMDPI AGSymmetry2073-89942023-09-01159173510.3390/sym15091735Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis TestingMahmoud E. Bakr0Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaProbability life distributions usually describe the time to an event or survival time. Therefore, these life distributions play a crucial role in the analysis and projection of maximum life expectancy using the goodness of fit approach for nonparametric hypothesis testing. This study suggests a nonparametric technique to determine whether the data follow an exponential distribution or belong to the mathematical class of the moment generating function for used better than aged (UBAmgf). These tests can be applied to both censored and non-censored data. The upper percentile points of the test statistics are generated, and the suggested test’s asymptotic normality is established. Some well-known alternative asymmetric probability models are used to compute the Pitman asymptotic relative efficiency (PARE) and powers of the proposed test. To demonstrate the paper’s conclusions, some asymmetric real-world datasets are examined.https://www.mdpi.com/2073-8994/15/9/1735reliability theorylifetime distribution theorynonparametric hypothesis testingMonte Carlo simulationasymmetric distributions |
| spellingShingle | Mahmoud E. Bakr Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis Testing Symmetry reliability theory lifetime distribution theory nonparametric hypothesis testing Monte Carlo simulation asymmetric distributions |
| title | Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis Testing |
| title_full | Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis Testing |
| title_fullStr | Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis Testing |
| title_full_unstemmed | Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis Testing |
| title_short | Statistical Modeling for Some Real Applications in Reliability Analysis Using Non-Parametric Hypothesis Testing |
| title_sort | statistical modeling for some real applications in reliability analysis using non parametric hypothesis testing |
| topic | reliability theory lifetime distribution theory nonparametric hypothesis testing Monte Carlo simulation asymmetric distributions |
| url | https://www.mdpi.com/2073-8994/15/9/1735 |
| work_keys_str_mv | AT mahmoudebakr statisticalmodelingforsomerealapplicationsinreliabilityanalysisusingnonparametrichypothesistesting |