0000000001008710

AUTHOR

Suchandan Kayal

showing 2 related works from this author

Fractional generalized cumulative entropy and its dynamic version

2021

Following the theory of information measures based on the cumulative distribution function, we propose the fractional generalized cumulative entropy, and its dynamic version. These entropies are particularly suitable to deal with distributions satisfying the proportional reversed hazard model. We study the connection with fractional integrals, and some bounds and comparisons based on stochastic orderings, that allow to show that the proposed measure is actually a variability measure. The investigation also involves various notions of reliability theory, since the considered dynamic measure is a suitable extension of the mean inactivity time. We also introduce the empirical generalized fract…

FOS: Computer and information sciencesExponential distributionComputer Science - Information TheoryMathematics - Statistics TheoryStatistics Theory (math.ST)01 natural sciencesMeasure (mathematics)010305 fluids & plasmas0103 physical sciencesFOS: MathematicsApplied mathematicsAlmost surelyCumulative entropy; Fractional calculus; Stochastic orderings; EstimationEntropy (energy dispersal)010306 general physicsStochastic orderingsMathematicsCentral limit theoremNumerical AnalysisInformation Theory (cs.IT)Applied MathematicsCumulative distribution functionProbability (math.PR)Fractional calculusEmpirical measureFractional calculusModeling and SimulationEstimationCumulative entropyMathematics - ProbabilityCommunications in Nonlinear Science and Numerical Simulation
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Analysis of the Past Lifetime in a Replacement Model through Stochastic Comparisons and Differential Entropy

2020

A suitable replacement model for random lifetimes is extended to the context of past lifetimes. At a fixed time u an item is planned to be replaced by another one having the same age but a different lifetime distribution. We investigate the past lifetime of this system, given that at a larger time t the system is found to be failed. Subsequently, we perform some stochastic comparisons between the random lifetimes of the single items and the doubly truncated random variable that describes the system lifetime. Moreover, we consider the relative ratio of improvement evaluated at x &isin

General MathematicsReliability (computer networking)Context (language use)02 engineering and technologystochastic ordersLifetime distribution01 natural sciencesMeasure (mathematics)differential entropyDifferential entropy010104 statistics & probabilitystochastic neuronal modelFixed time0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)Applied mathematicsreliability; replacement model; stochastic orders; differential entropy; stochastic neuronal modelreplacement model0101 mathematicsEngineering (miscellaneous)Mathematicsreliabilitylcsh:Mathematicslcsh:QA1-939020201 artificial intelligence & image processingReplacement procedureRandom variableMathematics
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