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Titolo:
PROBABILITY-DISTRIBUTIONS IN PERIODIC RANDOM ENVIRONMENT AND THEIR APPLICATIONS
Autore:
DIMITROV B; CHUKOVA S; GREEN D;
Indirizzi:
GMI ENGN & MANAGEMENT INST,DEPT SCI & MATH,1700 W 3RD AVE FLINT MI 48504
Titolo Testata:
SIAM journal on applied mathematics
fascicolo: 2, volume: 57, anno: 1997,
pagine: 501 - 517
SICI:
0036-1399(1997)57:2<501:PIPREA>2.0.ZU;2-I
Fonte:
ISI
Lingua:
ENG
Soggetto:
EXPONENTIAL-DISTRIBUTION;
Keywords:
ENVIRONMENTAL MODELING; CHARACTERIZATION OF PROBABILITY DISTRIBUTIONS; HAZARD FUNCTION; FAILURE-RATE FUNCTION; ALMOST LACK OF MEMORY PROPERTY; RELEVATION TRANSFORM; RELIABILITY; SERVICE WITH NONRELIABLE SERVER; NONSTATIONARY POISSON PROCESS; COUNTING PROCESSES;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Citazioni:
19
Recensione:
Indirizzi per estratti:
Citazione:
B. Dimitrov et al., "PROBABILITY-DISTRIBUTIONS IN PERIODIC RANDOM ENVIRONMENT AND THEIR APPLICATIONS", SIAM journal on applied mathematics, 57(2), 1997, pp. 501-517

Abstract

Periodic random environments and mechanisms of their effect on imbedded random variables are discussed. The variables under consideration represent either waiting time until some event occurs or the number of events within a given time interval. Their probability distributions have periodic residual lifetime functions and periodic failure rates. The form of the corresponding cumulative distribution functions is derived. Equivalent representations of these random variables as functionsof other, suitably chosen independent random variables are established. Other probability properties such as almost lack of memory, invariance with respect to relevation transform, and preservation of service time distribution on nonreliable servers are additional characterizingfeatures of this class of probability distributions. Nonstationary Poisson processes with periodic failure rates appear to be the closest extension of the homogeneous Poisson process to model the number of events imbedded into random environment of periodic nature. Some possibleapplications to reliability, queues, environmental studies, and otherfields are briefly pointed out.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 07/07/20 alle ore 12:23:22