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 in:	Cybernetics and systems analysis Vol. 51; no. 2; pp. 253 - 260
Main Author:	Stoikova, L. S.
Format:	Journal Article
Language:	English
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
ISSN:	1060-0396, 1573-8337
Online Access:	Get full text
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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:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23
ISSN:	1060-0396 1573-8337
DOI:	10.1007/s10559-015-9717-x