Greatest Lower Bounds of System Failure Probability in a Time Interval Under Incomplete Information About the Distribution Function of the Time to Failure

The greatest lower bounds are obtained for the probability F ( υ ) −  F ( u ), 0 <  u  <  υ  < ∞ , in the class of distribution functions F ( x ) of nonnegative random variables with unimodal density with mode m<u and two first fixed moments.

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Bibliographic Details
Published inCybernetics and systems analysis Vol. 51; no. 2; pp. 253 - 260
Main Author Stoikova, L. S.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.03.2015
Springer
Springer Nature B.V
Subjects
Artificial Intelligence
Boundary conditions
Control
Cybernetics
Density
Distribution functions
Equality
Intervals
Lower bounds
Mathematical analysis
Mathematics
Mathematics and Statistics
Processor Architectures
Random variables
Software Engineering/Programming and Operating Systems
Studies
System failures
Systems analysis
Systems Theory
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Summary:The greatest lower bounds are obtained for the probability F ( υ ) −  F ( u ), 0 <  u  <  υ  < ∞ , in the class of distribution functions F ( x ) of nonnegative random variables with unimodal density with mode m<u and two first fixed moments.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-015-9717-x