6533b872fe1ef96bd12d39dc

RESEARCH PRODUCT

Analysis of the Past Lifetime in a Replacement Model through Stochastic Comparisons and Differential Entropy

Patrizia Di GironimoAntonio Di CrescenzoSuchandan Kayal

subject

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 variable

description

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

yearjournalcountryeditionlanguage
2020-07-22Mathematics
10.3390/math8081203http://dx.doi.org/10.3390/math8081203