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

References

• Bagdonavicius , V. ( 1978 ). Testing the hypothesis of additive accumulation of damages . Probab. Theor. Applic. 23 : 403 – 408 .
   Google Scholar
• Bagdonavicius , V. , Nikulin , M. ( 2002 ). Accelerated Life Models: Modeling and Statistical Analysis . Boca Raton, FL : Chapman and Hall .
   Google Scholar
• Bai , D. S. , Kim , M. S. , Lee , S. H. (1989). Optimum simple step-stress accelerated life test with censoring. IEEE Trans. Reliab. 38:528–532.
   Web of Science ®Google Scholar
• Balakrishnan , N. ( 2009 ). A synthesis of exact inferential results for exponential step-stress models and associated optimal accelerated life-tests . Metrika 69 : 351 – 396 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Xie , Q. ( 2007a ). Exact inference for a simple step-stress model with Type-II hybrid censored data from the exponential distribution . J. Statist. Plann. Infer. 137 : 2543 – 2563 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Xie , Q. ( 2007b ). Exact inference for a simple step-stress model with Type-I hybrid censored data from the exponential distribution . J. Statist. Plann. Infer. 137 : 3268 – 3290 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Han , D. ( 2008 ). Exact inference for a simple step-stress model with competing risks for failure from exponential distribution under Type-II censoring . J. Statist. Plann. Infer. 138 : 4172 – 4186 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Han , D. ( 2009a ). Optimal step-stress testing for progressively Type-I censored data from exponential distribution . J. Statist. Plann. Infer. 139 : 1782 – 1798 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Han , D. ( 2009b ). Exact inference for a simple step-stress model with competing risks for failure from exponential distribution under Type-I censoring . . Revised .
   Google Scholar
• Balakrishnan , N. , Kundu , D. , Ng , H. K. T. , Kannan , N. ( 2007 ). Point and interval estimation for a simple step-stress model with Type-II censoring . J. Qual. Technol. 9 : 35 – 47 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Beutner , E. , Kateri , M. ( 2009a ). Order restricted inference for exponential step-stress models . IEEE Trans. Reliab. 58 : 132 – 142 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Xie , Q. , Kundu , D. ( 2009b ). Exact inference for a simple step-stress model from the exponential distribution under time constraint . Ann. Instit. Statist. Math. 61 : 251 – 274 .
   Web of Science ®Google Scholar
• Bhattacharyya , G. K. , Zanzawi , S. ( 1989 ). A tampered failure rate model for step-stress accelerated life test . Commun. Statist. Theor. Meth. 18 : 1627 – 1643 .
   Web of Science ®Google Scholar
• Casella , G. , Berger , R. L. ( 2002 ). Statistical Inference , 2nd ed. . Pacific Grove, CA : Wadsworth Group-Duxbury Press .
   Google Scholar
• DeGroot , M. H. , Goel , P. K. ( 1979 ). Bayesian estimation and optimal design in partially accelerated life testing . Nav. Res. Logist. Quart. 26 : 223 – 235 .
   Google Scholar
• Fan , T.-H. , Wang , W.-L. , Balakrishnan , N. ( 2008 ). Exponential progressive step-stress life-testing with link function based on Box–Cox transformation . J. Statist. Plann. Infer. 138 : 2340 – 2354 .
   Web of Science ®Google Scholar
• Gouno , E. , Balakrishnan , N. ( 2001 ). Step-stress accelerated life test . In: Balakrishnan , N. , Rao , C. R. , eds. Handbook of Statistics-20: Advances in Reliability . Amsterdam : North-Holland , pp. 623 – 639 .
   Google Scholar
• Gouno , E. , Sen , A. , Balakrishnan , N. ( 2004 ). Optimal step-stress test under progressive Type-I censoring . IEEE Trans. Reliab. 53 : 383 – 393 .
   Web of Science ®Google Scholar
• Han , D. , Balakrishnan , N. , Sen , A. , Gouno , E. ( 2006 ). Corrections on “Optimal step-stress test under progressive Type-I censoring” . IEEE Trans. Reliab. 55 : 613 – 614 .
   Web of Science ®Google Scholar
• Kateri , M. , Balakrishnan , N. ( 2008 ). Inference for a simple step-stress model with Type-II censoring, and Weibull distributed lifetimes . IEEE Trans. Reliab. 57 : 616 – 626 .
   Web of Science ®Google Scholar
• Khamis , I. H. , Higgins , J. J. ( 1998 ). A new model for step-stress testing . IEEE Trans. Reliab. 47 : 131 – 134 .
   Web of Science ®Google Scholar
• Madi , M. T. ( 1993 ). Multiple step-stress accelerated life test: the tampered failure rate model . Commun. Statist. Theor. Meth. 22 : 2631 – 2639 .
   Web of Science ®Google Scholar
• Meeker , W. Q. , Hahn , G. J. ( 1985 ). How to Plan Accelerated Life Tests . Milwaukee, WI : The American Society for Quality Control .
   Google Scholar
• Meeker , W. Q. , Escobar , L. A. ( 1998 ). Statistical Methods for Reliability Data . New York : John Wiley & Sons .
   Google Scholar
• Miller , R. , Nelson , W. B. (1983). Optimum simple step-stress plans for accelerated life testing. IEEE Trans. Reliab. 32:59–65.
   Web of Science ®Google Scholar
• Nelson , W. B. ( 1980 ). Accelerated life testing: Step-stress models and data analysis . IEEE Trans. Reliab. 29 : 103 – 108 .
   Web of Science ®Google Scholar
• Nelson , W. B. ( 1990 ). Accelerated Testing: Statistical Models, Test Plans, and Data Analyses . New York : John Wiley & Sons .
   Google Scholar
• Nelson , W. B. , Meeker , W. Q. ( 1978 ). Theory for optimum accelerated censored life tests for Weibull and extreme value distributions . Technometrics 20 : 171 – 177 .
   Web of Science ®Google Scholar
• Sedyakin , N. M. ( 1966 ). On one physical principle in reliability theory (in Russian) . Techn. Cybernet. 3 : 80 – 87 .
   Google Scholar
• Tang , L. C. ( 2003 ). Multiple steps step-stress accelerated tests. In: Pham , H. , ed. Handbook of Reliability Engineering . New York : Springer-Verlag , pp. 441 – 455 .
   Google Scholar
• Watkins , A. J. ( 2001 ). Commentary: Inference in simple step-stress models . IEEE Trans. Reliab. 50 : 36 – 37 .
   Web of Science ®Google Scholar
• Xie , Q. , Balakrishnan , N. , Han , D. ( 2008 ). Exact inference and optimal censoring scheme for a simple step-stress model under progressive Type-II censoring . In: Arnold , B. C. , Balakrishnan , N. , Sarabia , J. M. , Minguez , R. , eds. Advances in Mathematical and Statistical Modeling . Boston : Birkhäuser , pp. 107 – 137 .
   Google Scholar
• Xiong , C. ( 1998 ). Inference on a simple step-stress model with Type-II censored exponential data . IEEE Trans. Reliab. 47 : 142 – 146 .
   Web of Science ®Google Scholar
• Xiong , C. , Milliken , G. A. ( 1999 ). Step-stress life-testing with random stress change times for exponential data . IEEE Trans. Reliab. 48 : 141 – 148 .
   Web of Science ®Google Scholar
• Xiong , C. , Ji , M. ( 2004 ). Analysis of grouped and censored data from step-stress life test . IEEE Trans. Reliab. 52 : 22 – 28 .
   Google Scholar