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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Veröffentlicht in:Cybernetics and systems analysis Jg. 51; H. 2; S. 253 - 260
1. Verfasser: Stoikova, L. S.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Boston Springer US 01.03.2015
Springer
Springer Nature B.V
Schlagworte:
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-Zugang:Volltext
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Zusammenfassung: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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ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-015-9717-x