Greatest lower bound of system failure probability on a special time interval under incomplete information about the distribution function of the time to failure of the system

DOI10.1007/S10559-017-9921-YzbMath1380.93239OpenAlexW2598772355MaRDI QIDQ681898

L. S. Stoikova

Publication date: 13 February 2018

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-017-9921-y

zbMATH Keywords

extremum of a linear functionalpartition of the domain of parametersset of unimodal distribution functions with two first fixed moments

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Control/observation systems with incomplete information (93C41) Stochastic systems in control theory (general) (93E03)

Related Items (3)

Exact estimates for some linear functionals of unimodal distribution functions under incomplete information ⋮ Two-sided probability bound for a symmetric unimodal random variable ⋮ Algorithms for generating equivalent normalized correlation matrices of noisy random signals

Cites Work

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• Greatest lower bounds of system failure probability on a time interval under incomplete information about the distribution function of time to failure
• Greatest lower bounds of system failure probability in a time interval under incomplete information about the distribution function of the time to failure
• Exact upper bounds of the probability of failure in a time interval in the case of incomplete information on the distribution function
• Representation Theorems for Distribution Functions

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