Abstract
Additive accumulation of damages model and its generalizations are considered. Semiparametric estimation procedure of the survival function under the normal stress from accelerated life testing data is proposed. Experiments with step-stresses with random switch up moments are considered. Asymptotic properties of estimation are investigated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Andersen, P. K., Borgan, O., Gill, R. D. and Keiding, N. (1993). Statistical Models Based on Counting Processes, New York: Springer-Verlag.
Bagdonavicius, V. (1978). Testing the hypothesis of the additive accumulation of damages, Probability Theory and Its Applications, 23, 403–408.
Bagdonavicius, V. (1990). Accelerated life models when the stress is not constant, Kybernetika, 26, 289–295.
Bagdonavicius V. and Nikulin, M. (1997). Sur l’application des stress en escalier dans les expériences accélérées, Comptes Rendus, Academie des Sciences de Paris, 325, Série I, 523–526.
Bagdonavičius, V. and Nikulin. M. (1997). Analysis of general semiparametric models with random covariates, Romanian Journal of Pure and Applied Mathematics, 42, 351–369.
Basu, A. P. and Ebrahimi, N. (1982). Nonparametric accelerated life testing, IEEE Transactions on Reliability, 31, 432–435.
Fleming, T. R. and Harrington, D. P. (1991). Counting Processes and Survival Analysis, New York: John Wiley &; Sons.
Gasser, T. and Müller, H. G. (1979). Kernel estimation of regression functions, In Smoothing Techniques for Curve Estimation, Lecture Notes in Mathematics, pp. 23-68, Berlin: Springer-Verlag.
Lin, D. Y. and Ying, Z. (1995). Semiparametric inference for accelerated life model with time dependent covariates, Journal of Statistical Planning and Inference, 44, 47–63.
Robins, J. M. and Tsiatis, A. A. (1992). Semiparametric estimation of an accelerated failure time model with time dependent covariates, Biometrika, 79, 311–319.
Schmoyer, R. (1986). An exact distribution-free analysis for accelerated life testing at several levels of a single stress, Technometrics, 28, 165–175.
Schmoyer, R. (1991). Nonparametric analyses for two-level single-stress accelerated life tests Technometrics, 33, 175–186.
Sethuraman, J. and Singpurwalla, N. D. (1982). Testing of hypotheses for distributions in accelerated life tests, JASA, 77, 204–208.
Shaked, M. and Singpurwalla, N. D. (1983). Inference for step-stress accelerated life tests, Journal of Statistical Planning and Inference, 7, 295–306.
Tsiatis, A. A. (1990). Estimating regression parameters using linear rank tests for censored data, Annals of Statistics, 18, 354–372.
Ying, Z. (1993). A large sample study of rank estimation for censored regression data, Annals of Statistics, 21, 76–99.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bagdonavičius, V., Nikulin, M.S. (1999). On Semiparametric Estimation of Reliability From Accelerated Life Data. In: Ionescu, D.C., Limnios, N. (eds) Statistical and Probabilistic Models in Reliability. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1782-4_5
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1782-4_5
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7280-9
Online ISBN: 978-1-4612-1782-4
eBook Packages: Springer Book Archive