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Hashem AF, Alotaibi N, Alyami SA, Abdelkawy MA, Elgawad MAA, Yousof HM, Abdel-Hamid AH. Utilizing Bayesian inference in accelerated testing models under constant stress via ordered ranked set sampling and hybrid censoring with practical validation. Sci Rep 2024; 14:14406. [PMID: 38909118 PMCID: PMC11193780 DOI: 10.1038/s41598-024-64718-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2024] [Accepted: 06/12/2024] [Indexed: 06/24/2024] Open
Abstract
This research investigates the application of the ordered ranked set sampling (ORSSA) procedure in constant-stress partially accelerated life-testing (CSPALTE). The study adopts the assumption that the lifespan of a specific item under operational stress follows a half-logistic probability distribution. Through Bayesian estimation methods, it concentrates on estimating the parameters, utilizing both asymmetric loss function and symmetric loss function. Estimations are conducted using ORSSAs and simple random samples, incorporating hybrid censoring of type-I. Real-world data sets are utilized to offer practical context and validate the theoretical discoveries, providing concrete insights into the research findings. Furthermore, a rigorous simulation study, supported by precise numerical calculations, is meticulously conducted to gauge the Bayesian estimation performance across the two distinct sampling methodologies. This research ultimately sheds light on the efficacy of Bayesian estimation techniques under varying sampling strategies, contributing to the broader understanding of reliability analysis in CSPALTE scenarios.
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Affiliation(s)
- Atef F Hashem
- Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia.
- Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef, 62511, Egypt.
| | - Naif Alotaibi
- Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
| | - Salem A Alyami
- Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
| | - Mohamed A Abdelkawy
- Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
- Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef, 62511, Egypt
| | - Mohamed A Abd Elgawad
- Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
- Department of Mathematics, Faculty of Science, Benha University, Benha, 13518, Egypt
| | - Haitham M Yousof
- Department of Statistics, Mathematics and Insurance, Benha University, Benha, 13518, Egypt
| | - Alaa H Abdel-Hamid
- Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef, 62511, Egypt
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Estimation of distribution function using L ranked set sampling and robust extreme ranked set sampling with application to reliability. Comput Stat 2022. [DOI: 10.1007/s00180-022-01201-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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Al-Omari AI, Abdallah MS. Estimation of the distribution function using moving extreme and MiniMax ranked set sampling. COMMUN STAT-SIMUL C 2021. [DOI: 10.1080/03610918.2021.1891433] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Amer I. Al-Omari
- Department of Statistics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan
| | - Mohamed S. Abdallah
- Department of Quantitative Techniques, Faculty of Commerce, Aswan University, Egypt
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