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Communications in Statistics - Theory and Methods Volume 38, 2009 - Issue 10
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INFERENCE UNDER CENSORING

Inference for a Simple Step-Stress Model with Type-I Censoring and Lognormally Distributed Lifetimes

N. Balakrishnan Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, CanadaCorrespondence[email protected]
,
Li Zhang Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada
&
Qihao Xie Bombardier Inc, Mississauga, Ontario, Canada
Pages 1690-1709 | Received 19 Jan 2009, Accepted 04 Mar 2009, Published online: 24 Apr 2009

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Nooshin Hakamipour. (2021) Comparison between constant-stress and step-stress accelerated life tests under a cost constraint for progressive type I censoring. Sequential Analysis 40:1, pages 17-31.
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H. Morabbi, M. Razmkhah & Jafar Ahmadi. (2016) Point estimation of lower quantiles based on two-sampling scheme. Communications in Statistics - Theory and Methods 45:13, pages 4018-4034.
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Ayon Ganguly & Debasis Kundu. (2016) Analysis of simple step-stress model in presence of competing risks. Journal of Statistical Computation and Simulation 86:10, pages 1989-2006.
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Cheng-Hung Hu, RobertD. Plante & Jen Tang. (2012) Step-stress accelerated life tests: a proportional hazards–based non-parametric model. IIE Transactions 44:9, pages 754-764.
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P. Yadav, D. Kumar & S. Singh. (2023) Statistical Analysis for Log-Normal Distribution in the Presence of Hybrid Censoring and Step-Stress. Strength of Materials 55:3, pages 552-565.
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Hatim Solayman Migdadi, Nesreen M. Al-Olaimat & Omar Meqdadi. (2023) Inference and optimal design for the k-level step-stress accelerated life test based on progressive Type-I interval censored power Rayleigh data. Mathematical Biosciences and Engineering 20:12, pages 21407-21431.
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. 2023. Hybrid Censoring: Models, Methods and Applications. Hybrid Censoring: Models, Methods and Applications 361 385 .
N. Balakrishnan, Erhard Cramer & Debasis Kundu. 2023. Hybrid Censoring: Models, Methods and Applications. Hybrid Censoring: Models, Methods and Applications 281 295 .
Mohammad A. Amleh. 2023. Mathematics and Computation. Mathematics and Computation 381 389 .
Refah Alotaibi, Ehab M. Almetwally, Devendra Kumar & Hoda Rezk. (2022) Optimal Test Plan of Step-Stress Model of Alpha Power Weibull Lifetimes under Progressively Type-II Censored Samples. Symmetry 14:9, pages 1801.
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Mohammad A. Amleh. (2022) Prediction of Future Lifetimes for a Simple Step-Stress Model with Type-II Censoring and Rayleigh Distribution. WSEAS TRANSACTIONS ON MATHEMATICS 21, pages 131-143.
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Qasim Ramzan, Muhammad Amin & Muhammad Faisal. (2021) Bayesian inference for modified Weibull distribution under simple step‐stress model based on type‐I censoring. Quality and Reliability Engineering International 38:2, pages 757-779.
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Xiangxiang Zhang, Jun Yang & Xuefeng Kong. (2021) A new statistical inference method for multi-stress accelerated life testing based on random variable transformation. Applied Mathematical Modelling 100, pages 379-393.
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Zan Li, Fengming Wang, Chengjie Wang, Qingpei Hu & Dan Yu. (2021) Reliability modeling and evaluation of lifetime delayed degradation process with nondestructive testing. Reliability Engineering & System Safety 208, pages 107358.
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Mazen Nassar, Hassan Okasha & Mohammed Albassam. (2020) E‐Bayesian estimation and associated properties of simple step–stress model for exponential distribution based on type‐II censoring. Quality and Reliability Engineering International 37:3, pages 997-1016.
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Chien-Tai Lin, Cheng-Chieh Chou & N. Balakrishnan. (2019) Planning step-stress test plans under Type-I hybrid censoring for the log-location-scale distribution. Statistical Methods & Applications 29:2, pages 265-288.
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Hanaa H. Abu-Zinadah. (2020) Lifetime competing risks data from Lomax distribution in the presence of accelerates life-testing model with Type-I censoring. Journal of Intelligent & Fuzzy Systems 38:3, pages 2873-2883.
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Hanaa H. Abu-Zinadah & Neveen Sayed-Ahmed. (2019) Competing Risks Model with Partially Step-Stress Accelerate Life Tests in Analyses Lifetime Chen Data under Type-II Censoring Scheme. Open Physics 17:1, pages 192-199.
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Qiang Guan & Yin-cai Tang. (2018) Bayesian planning of optimal step-stress accelerated life test for log-location-scale distributions. Acta Mathematicae Applicatae Sinica, English Series 34:1, pages 51-64.
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. 2017. Analysis of Step-Stress Models. Analysis of Step-Stress Models 155 163 .
Debasis Kundu & Ayon Ganguly. 2017. Analysis of Step-Stress Models. Analysis of Step-Stress Models 17 77 .
Ancha Xu, Yincai Tang, Qiang Guan & Xinze Lian. (2015) Planning simple step-stress accelerated life tests using reference optimality criterion. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 230:1, pages 85-92.
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Firoozeh Haghighi. (2015) Simple step-stress model for an extension of the exponential distribution with type-I censoring. International Journal of Quality & Reliability Management 32:8, pages 906-920.
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Zongyue Yu, Zhiqian Ren, Junyong Tao & Xun Chen. (2014) A reliability assessment method based on an accelerated testing under thermal cycling environment. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 229:2, pages 97-104.
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Zongyue Yu, Zhiqian Ren, Junyong Tao & Xun Chen. (2014) Accelerated Testing with Multiple Failure Modes under Several Temperature Conditions. Mathematical Problems in Engineering 2014, pages 1-8.
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Chien-Tai Lin & Cheng-Chieh Chou. (2012) Statistical Inference for a Lognormal Step-Stress Model With Type-I Censoring. IEEE Transactions on Reliability 61:2, pages 361-377.
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Efrén Moreno Benavides. 2012. Advanced Engineering Design. Advanced Engineering Design 77 258 .
Efrén Moreno Benavides. 2012. Advanced Engineering Design. Advanced Engineering Design 41 258 .
Efrén Moreno Benavides. 2012. Advanced Engineering Design. Advanced Engineering Design 197 258 .
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Efrén Moreno Benavides. 2012. Advanced Engineering Design. Advanced Engineering Design 1 258 .
Efrén M. Benavides. (2011) Reliability Model for Step-Stress and Variable-Stress Situations. IEEE Transactions on Reliability 60:1, pages 219-233.
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N. Balakrishnan. (2008) A synthesis of exact inferential results for exponential step-stress models and associated optimal accelerated life-tests. Metrika 69:2-3, pages 351-396.
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