In:
Journal of Applied Probability, Cambridge University Press (CUP), Vol. 24, No. 1 ( 1987-03), p. 160-169
Abstract:
There are a number of ad hoc regression models for the statistical analysis of lifetime data, but only a few examples exist in which physical considerations are used to characterize the model. In the present paper a complete characterization of a regression model is given by solving a functional equation recurring in the literature for the case of a fatigue problem. The result is that, if the lifetime for given values of the regressor variable and the regressor variable for a given lifetime are both Weibull variables (assumptions which are well founded, at least as approximations, from extreme-value theory in some concrete applications), there are only three families of (conditional) distribution for the lifetime (or for the regressor variable). This model is then applied to a practical problem for illustration.
Type of Medium:
Online Resource
ISSN:
0021-9002
,
1475-6072
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1987
detail.hit.zdb_id:
1474599-9
detail.hit.zdb_id:
219147-7
SSG:
3,2
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