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dc.contributor.authorCsenki, Attila*
dc.date.accessioned2017-03-23T14:26:53Z
dc.date.available2017-03-23T14:26:53Z
dc.date.issued2015-09
dc.identifier.citationCsenki A (2015) A differential equation for a class of discrete lifetime distributions with an application in reliability: A demonstration of the utility of computer algebra. Methodology and Computing in Applied Probability. 17(3): 647-660.en_US
dc.identifier.urihttp://hdl.handle.net/10454/11682
dc.descriptionYesen_US
dc.description.abstractIt is shown that the probability generating function of a lifetime random variable T on a finite lattice with polynomial failure rate satisfies a certain differential equation. The interrelationship with Markov chain theory is highlighted. The differential equation gives rise to a system of differential equations which, when inverted, can be used in the limit to express the polynomial coefficients in terms of the factorial moments of T. This then can be used to estimate the polynomial coefficients. Some special cases are worked through symbolically using Computer Algebra. A simulation study is used to validate the approach and to explore its potential in the reliability context.en_US
dc.language.isoenen_US
dc.relation.isreferencedbyhttp://dx.doi.org/10.1007/s11009-013-9385-0en_US
dc.rights© 2015 Springer. Full-text reproduced in accordance with the publisher’s self-archiving policy.en_US
dc.subjectPolynomial failure rate; Probability generating function; Markov chain; Stirling numbers; Computer algebra; Point estimation; Reliabilityen_US
dc.titleA differential equation for a class of discrete lifetime distributions with an application in reliability: A demonstration of the utility of computer algebraen_US
dc.status.refereedYesen_US
dc.date.application2013-10-13
dc.typeArticleen_US
dc.type.versionAccepted Manuscripten_US
refterms.dateFOA2018-07-25T16:08:02Z


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