Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T04:34:20.087Z Has data issue: false hasContentIssue false

Classes of residual lifetime distributions conditioned on failure histories

Published online by Cambridge University Press:  01 July 2016

Elja Arjas†*
Affiliation:
University of Oulu

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Ninth Conference on Stochastic Processes and their Applications, Evanston, Illinois, 6–10 August 1979
Copyright
Copyright © Applied Probability Trust 1980 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Block, H. W. and Savits, T. H. (1977) Multivariate ifra distributions. University of Pittsburgh Research Report 77–04.Google Scholar
Block, H. W. and Savits, T. H. (1978) Multivariate classes in reliability theory. University of Pittsburgh Research Report 78–03.Google Scholar
Brindley, E. C. and Thompson, W. A. Jr. (1972) Dependence and aging aspects of multivariate survival. J. Amer. Statist. Assoc. 67, 822830.CrossRefGoogle Scholar
Buchanan, W. B. and Singpurwalla, N. D. (1977) Some stochastic characterizations of multivariate survival. In The Theory of Applications of Reliability, Vol. I, ed. Tsokos, C. P. and Shimi, I. Academic Press, New York, 329348.Google Scholar
Esary, J. D. and Marshall, A. W. (1979) Multivariate distributions with increasing hazard rate average. Ann. Prob. 7, 359370.Google Scholar
Harris, R. (1970) A multivariate definition for increasing hazard rate distribution functions. Ann. Math. Statist. 37, 713717.Google Scholar
Marshall, A. W. (1975) Multivariate distributions with monotone hazard rate. In Reliability and Fault Tree Analysis, SIAM, Philadelphia, 259284.Google Scholar