The optimal multi-stress–strength reliability technique for the progressive first failure in the length-bias exponential model using Bayesian and non-Bayesian methods

References

• Bhattacharya GK, Johnson RA. Statistical concepts and methods. New York: John Wiley & Sons; 1977.
   Google Scholar
• Chandra S, Owen DB. On estimating the reliability of a component subject to several different stresses (strengths). Nav Res Logist Q. 1975;22:31–39. doi:10.1002/nav.3800220104
   Google Scholar
• Ivshin VV. On the estimation of the probabilities of a double linear inequality in the case of uniform and two-parameter exponential distributions. J Math Sci. 1998;88:819–827. doi:10.1007/BF02365367
   Google Scholar
• Singh N. On the estimation of Pr(X1 < Y < X2). Commun Stat Theory Methods. 1980;9:1551–1561. doi:10.1080/03610928008827982
   Web of Science ®Google Scholar
• Yousef MM, Hassan AS, Alshanbari HM, et al. Bayesian and non-Bayesian analysis of exponentiated exponential stress–strength model based on generalized progressive hybrid censoring process. Axioms. 2022;11(9):455. doi:10.3390/axioms11090455
   Web of Science ®Google Scholar
• Hanagal DD. Estimation of system reliability in multicomponent series stress–strength model. J Indian Stat Assoc. 2003;41:1–7.
   Google Scholar
• Waegeman W, De Baets B, Boullart L. On the scalability of ordered multi-class ROC analysis. Comput Stat Data Anal. 2008;52:33–71. doi:10.1016/j.csda.2007.12.001
   Web of Science ®Google Scholar
• Chumchum D, Munindra B, Jonali G. Cascade system with Pr(X < Y < Z). J Inform Math Sci. 2013;5:37–47.
   Google Scholar
• Patowary AN, Sriwastav GL, Hazarika J. Inference of R = P(X < Y < Z) for n-standby system: A Monte-Carlo simulation approach. IOSR J Math. 2016;12:18–22.
   Google Scholar
• Kohansal A, Shoaee S. Bayesian and classical estimation of reliability in a multicomponent stress-strength model under adaptive hybrid progressive censored data. Stat Pap. 2021;62:309–359. doi:10.1007/s00362-019-01094-y
   Web of Science ®Google Scholar
• Saini S, Tomer S, Garg R. On the reliability estimation of multicomponent stress–strength model for Burr XII distribution using progressively first-failure censored samples. J Stat Comput Simul. 2022;92(4):667–704. doi:10.1080/00949655.2021.1970165
   Web of Science ®Google Scholar
• Kohansal A, Fernández AJ, Pérez-González CJ. Multi-component stress–strength parameter estimation of a non-identical component strengths system under the adaptive hybrid progressive censoring samples. Statistics (Ber). 2021;55(4):925–962. doi:10.1080/02331888.2021.1985499
   Web of Science ®Google Scholar
• Hassan MK. On estimating standby redundancy system in a MSS model with GLFRD based on progressive type II censoring data. Reliab Theory Appl. 2021;16:206–219.
   Google Scholar
• Wu SJ, Kus C. On estimation based on progressive first-failure-censored sampling. Comput Stat Data Anal. 2009;53(10):3659–3670. doi:10.1016/j.csda.2009.03.010
   Web of Science ®Google Scholar
• Yousef MM, Almetwally EM. Multi stress-strength reliability based on progressive first failure for Kumaraswamy model: Bayesian and non-Bayesian estimation. Symmetry. 2021;13(11):2120. doi:10.3390/sym13112120
   Google Scholar
• Almetwally EM, Alotaibi R, Mutairi AA, et al. Optimal plan of multi-stress-strength reliability Bayesian and non-Bayesian methods for the alpha power exponential model using progressive first failure. Symmetry. 2022;14(7):1306. doi:10.3390/sym14071306
   Google Scholar
• Balakrishnan N, Aggarwala R. Progressive censoring: theory, methods, and applications. Boston: Springer Science & Business Media Birkhauser; 2000.
   Google Scholar
• Dara ST, Ahmad M. Recent advances in moment distribution and their hazard rates. Sunnyvale (CA): Lap Lambert Academic Publishing GmbH KG; 2012.
   Google Scholar
• Efron B. Bootstrap confidence intervals: Good or bad? Psychol Bulletin. 1988;104(2):293–296. doi:10.1037/0033-2909.104.2.293
   Web of Science ®Google Scholar
• Tibshirani R, Efron B. An introduction to the bootstrap. CRC Press; 1994.
   Google Scholar
• Efron B. Bootstrap methods: another look at the Jacknife. Ann Stat. 1979;7(1):1–26. doi:10.1214/aos/1176344552
   Web of Science ®Google Scholar
• Gupta PK, Singh AK. Classical and Bayesian estimation of Weibull distribution in presence of outliers. Cogent Math. 2017;4(1):1300975. doi:10.1080/23311835.2017.1300975
   Google Scholar
• Pradhan B, Kundu D. On progressively censored generalized exponential distribution. Test. 2009;18:497–515. doi:10.1007/s11749-008-0110-1
   Web of Science ®Google Scholar
• Nelson WB. Accelerated testing: statistical models, test plans, and data analysis. Hoboken (NJ): John Wiley & Sons; 2009; 344, 1625–1636.
   Google Scholar