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2 results

Preservation of generalized bathtub-shaped functions
Part of
- Survival analysis and censored data
- Special processes
Thomas H. Savits
Journal:

Journal of Applied Probability / Volume 40 / Issue 2 / June 2003

Published online by Cambridge University Press:

14 July 2016, pp. 473-484

Print publication:

June 2003
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Block, Savits and Singh previously presented a preservation result for bathtub-shaped functions. In this paper, we strengthen and extend their results to a class of functions which allow for more than one change of monotonicity. Various applications are also considered.

A further extension of the generalized burn-in model
Part of
- Special processes
- Survival analysis and censored data
Ji Hwan Cha
Journal:

Journal of Applied Probability / Volume 40 / Issue 1 / March 2003

Published online by Cambridge University Press:

14 July 2016, pp. 264-270

Print publication:

March 2003
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In this paper, the generalized burn-in and replacement model considered by Cha (2001) is further extended to the case in which the probability of Type II failure is time dependent. Two burn-in procedures are considered and they are compared in cases when both the procedures are applicable. Under some mild conditions on the failure rate function r(t) and the Type II failure probability function p(t), the problems of determining optimal burn-in time and optimal replacement policy are considered.

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2 results

Preservation of generalized bathtub-shaped functions

A further extension of the generalized burn-in model