Burn-in and mixed populations
- 1 September 1993
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 30 (3), 692-702
- https://doi.org/10.2307/3214775
Abstract
Burn-in is a procedure used for eliminating weak components in a mixed population. In this paper we focus on general mixed populations. Three types of results are established. First, it is shown that any mixed population displays a type of monotonicity property which is appropriate for burn-in. Second, it is shown that if, asymptotically, components have constant failure rates, then the mixed population will also asymptotically have a constant failure rate and this will correspond to the rate of the strongest subpopulation of the mixture. Finally, it is shown for a reasonable cost function, that if one mixture distribution dominates another in a strong sense, the resulting mixture of the dominant distribution will have larger optimal burn-in time.Keywords
This publication has 2 references indexed in Scilit:
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- Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributionsJournal of Multivariate Analysis, 1980