ON ONE MINIMAX PROBLEM ON THE CLASS OF DISTRIBUTION FUNCTIONS INCREASING HAZARD RATE

E. A. Danielyan; V. K. Saghatelyan

doi:10.46991/PYSU:A/2005.39.3.053

ON ONE MINIMAX PROBLEM ON THE CLASS OF DISTRIBUTION FUNCTIONS INCREASING HAZARD RATE

Authors

E. A. Danielyan Chair of the Theory of Probability and Mathematical Statistics, YSU, Armenia
V. K. Saghatelyan Chair of the Theory of Probability and Mathematical Statistics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2005.39.3.053

Keywords:

preventive replacement, random moments, distribution function, optimal policy

Abstract

Policy of preventive replacement of functioning system’s elements at random moments is considered. It is assumed that distribution function of system’s failures is unknown. However, it belongs to the certain class of functions first moments of which are known. The problem is reduced to the game with moments’ constraints. As a result, the optimal policy of preventive replacements is found.

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Published

2005-10-20

How to Cite

Danielyan, E. A., & Saghatelyan, V. K. (2005). ON ONE MINIMAX PROBLEM ON THE CLASS OF DISTRIBUTION FUNCTIONS INCREASING HAZARD RATE. Proceedings of the YSU A: Physical and Mathematical Sciences, 39(3 (208), 53–57. https://doi.org/10.46991/PYSU:A/2005.39.3.053