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On statistical modelling in accelerated life testing

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to present some models used in accelerated life testing. The AFT model, the Sedyakin model, the Power Generalized Weibull model and the CHSS model are discussed. Many recent references are given in order to help readers in there choices.
Rocznik
Tom
Strony
48--51
Opis fizyczny
bibliogr. 35 poz.
Twórcy
autor
  • Statistique Mathématique et ses Applications, Victor Segalen University Bordeaux 2, Bordeaux, 33076, France, gerville@u-bordeaux2.fr
Bibliografia
  • [1] Bagdonavicius, V., 1978. Testing the hyphothesis of the additive accumulation of damages. Probab. Theory and its Appl., 23, 403-408.
  • [2] Bagdonavicius, V., Nikulin, M. (1995). Semiparametric models in accelerated life testing. Queen’s Papers In Pure and Applied Mathematics, #98. Queen’s University, Kingston, Canada.
  • [3] Bagdonavicius, V., Nikulin, M. (1997). Asymptotical Analysis of Semiparametric Models in Survival Analysis and Accelerated Life Testing. Statistics, 29, #3, 261-284.
  • [4] Bagdonavicius, V., Gerville-Réache, L., Nikoulina, V. and Nikulin, M. (2000). Expériences accélérées: analyse statistique du modčle standard de vie accélérée. Revue de Statistique Appliquée, XLVIII, #3, 5-38.
  • [5] Bagdonavicius, V., Gerville-Réache, L. and Nikulin, M. (2002). On Parametric Inference for Step-Stress Models. IEEE Transaction on Reliability, #1, 27-31.
  • [6] Bagdonavicius, V., Nikulin, M. (2002). Accelerated life models. Chapman&Hall/CRC, Boca Raton.
  • [7] Bagdonavicius, V., Nikulin, M., Zdorova-Cheminade, O. (2004). Statistical Planning and Inferencein Accelerated Life Testing using the CHSS Model. Journal Statistical Planning and Inference, 126, 535-551.
  • [8] Bhattacharyya, G.K., Stoejoeti, Z., 1989. A tampered failure rate model for step-stress accelerated life test, Comm. in Statist., Theory and Methods, 18, 1627-1643.
  • [9] Ceci, C., Mazliak, L. (2004). Optimal Design in Nonparametric Life Testing. Statistical Inference for Stochastical Processes, 7, 305-325.
  • [10] Couallier, V. (2004). Comparison of Parameteric and Semiparametric Estimates in a Degradation Model with Covariates and Traumatic Censoring. In Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life, (M.Nikulin, N.Balakrishnan, M.Mesbah, N.Limnios, eds.) Birkhauser, Boston, 81-98.
  • [11] Duchesne, T. (2000). Methods Common to Reliability and Survival Analysis. In Recent Advances in Reliability Theory, ( N. Limnios and M. Nikulin, eds.) Birkhauser, Boston, 279-290.
  • [12] Duchesne, T., Rosenthal, J.B. (2003). On the collapsibility of lifetime regression models. Advances in Applied Probability, 35, 755-772.
  • [13] Duchesne, T., Lawless, J. (2000). Alternative Time Scale and Failure Time Models. Lifetime Data Analysis, 6, 157-179.
  • [14] Duchesne, T. and Lawless, J. (2002). Semiparametric inference methods for general time scale models. Lifetime Data Analysis, 8, 263-276.
  • [15] Elasayed, E.A., Liao,H.T. (2004). Reliability Prediction and Testing Plan Based on an Accelerated Degradation Rate Model. International Journal of Materials & Product Technology, 21, 5, 402-422.
  • [16] Gerville-Réache, L. (2004). An example of optimal design in accelerated experiment. In Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life, (M.Nikulin, N.Balakrishnan, M.Mesbah, N.Limnios, eds.) Birkhauser, Boston,, 121-131.
  • [17] Greenwood, P.E., Nikulin,M. (1996). A Guide to Chi-squared Testing, John Wiley and Sons: New York.
  • [18] Kahle, W., Lehmann, A. (1998). Parameter Estimation in Damage Processes: dependent observation of damage increments and first passage time. In Advances in Stochastic Models for Reliability, Quality and Safety. (W.Kahle, E. Collant, J. Franz and U. Jensen, eds.) Birkhauser: Boston, 139-152.
  • [19] Kahle, W., Wendt, H. (2000). Statistical analysis of damage processes. In Recent Advances in Reliability Theory, ( N. Limnios and M. Nikulin, eds.) Birkhauser, Boston, 199-212.
  • [20] Lawless, J.F. (2000). Dynamic Analysis of Failures in Repairable Systems and Software. In Recent Advances in Reliability Theory. (N. Limnios and M. Nikulin, eds). Birkhauser, Boston, 341-354.
  • [21] Lawless, J.F. (2003). Statistical Models and Methods for Lifetime Data. Second Edition, John Wiley: New York.
  • [22] Lehmann, A. (2004). On Degradation-Failure Model for Repairable Items. In Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life, (M.Nikulin, N.Balakrishnan, M.Mesbah, N.Limnios, eds.) Birkhauser, Boston, 65-79.
  • [23] Lin, D.Y. and Ying, Z. (1995). Semiparametric inference for accelerated life model with time dependent covariates. Journal of Statist. Planning and Inference, 44, 47-63.
  • [24] LuValle, M. (2000). A Theoretical Framework for Accelerated Testing. In Recent Advances in Reliability Theory. (N. Limnios and M. Nikulin, eds). Birkhauser, Boston, 419-434.
  • [25] Meeker, W., Escobar, L. (1998). Statistical Methods for Reliability Data. Wiley, New York.
  • [26] Mudholkar, G., Srivastava, D. (1995). The exponentiated Weibull Family: A Reanalysis of the Bus-Motor-Failure Data. Technometrics, 37, \#14, 436-445.
  • [27] Nelson, W. (1990). Accelerated Testing: Statistical Models, Test Plans, and Data Analysis. Wiley, New York.
  • [28] Nikulin M., Balakrishnan N., Mesbah M., Limnios N. (eds) (2004). Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life, Birkhauser, Boston.
  • [29] Nikulin, M., Gerville-Réache, L., Orazio, S.. About one parametric degradation model used in reliability, survival analysis and quality of life. In: Advances in Statistical Methods for Health Sciences, Eds : Balakhrishnan, Auget, Mesbah, Molenberghs. Springer (to appear) 11p.
  • [30] Sedyakin, N.M. (1966). On one physical principle in reliability theory. (in Russian). Techn. Cybernetics, 3, 80-87.
  • [31] Sethuraman, J. and Singpurwalla, N.D. (1982). Testing of hypotheses for distributions in accelerated life tests. JASA, 77, 204-208.
  • [32] Shaked, M. and Singpurwalla, N.D. (1983). Inference for step-stress accelerated life tests. J. Statist. Plann. Inference, 7, 295-306.
  • [33] Singpurwalla, N. (1995). Survival in Dynamic Environments. Statistical Sciences, 1, 86-103.
  • [34] Viertl, R. (1988). Statistical Methods in Accelerated Life Testing. Vandenhoeck and Ruprecht. Goettingen.
  • [35] Zhao, W., Elsayed, E.A. (2003). An Accelerated Life Testing Under Competing Failure Modes. Paper 2003-128, Rutgers University.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT1-0015-0015
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