OCENJIVANJE PARAMETRA POUZDANOSTI DVOKOMPONENTNOG SISTEMA

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OCENJIVANJE PARAMETRA POUZDANOSTI DVOKOMPONENTNOG SISTEMA

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dc.contributor.advisor Mladenović, Pavle
dc.contributor.author Jovanović, Milan
dc.date.accessioned 2016-11-23T19:12:37Z
dc.date.available 2016-11-23T19:12:37Z
dc.date.issued 2015
dc.identifier.uri http://hdl.handle.net/123456789/4352
dc.description.abstract Early papers dealing with so-called stress-strength problems were published in the middle of the 20th century. This topic, which belongs to the reliability theory, is still very active nowadays, which can be seen through the number of published papers dealing with it - around ten each year. In this dissertation, some methods for estimation of the reliability parameter for a system with independent stress and strength are presented. Also, two new models are introduced and some estimators of the reliability parameter for each of them are derived. The dissertation is divided into four chapters. In the rst chapter, some basic terms are introduced and some examples from real life, illustrating big possibilities for application of the results from this scienti c eld, are described. Sorted based on the stress and strength distributions, a chronological overview of all research activities dealing with these topics, to the author's best knowledge, is presented. Some special func- tions, which are later used for calculations, along with their main properties are shown. The expressions for the reliability parameter for some stress and strength distributions are either derived or listed. The second chapter is devoted to different methods used for point esti- mation, as well as for interval estimation of the reliability parameter of a system. For each methods estimators of the reliability parameter for some stress and strength distributions are either derived or listed. In the third chapter, a new model is introduced. In this model, the stress has geometric, while the strength has Poisson distribution. This is one of the rst, if not the rst, appearances in the literature, where the stress and strength distributions do not belong to the same family of distributions. For this model, the reliability parameter is estimated using different methods and decision on optimal estimators for usage in practice is based on the simulations. In the fourth chapter, another model is introduced, with the stress and strength distributions which are not only from different families of distribu- tions, but also do not belong to the same type of distributions. The stress has geometric, while the strength has exponential distribution. The reliabil- ity parameter for this model is also estimated using different methods, and the decision on optimal estimators for usage in practice is once again based on the simulations. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2016-11-23T19:12:37Z No. of bitstreams: 1 Jovanovic_Milan_teza.pdf: 4636381 bytes, checksum: a7dc10056660754aa7a2cba41e56806d (MD5) en
dc.description.provenance Made available in DSpace on 2016-11-23T19:12:37Z (GMT). No. of bitstreams: 1 Jovanovic_Milan_teza.pdf: 4636381 bytes, checksum: a7dc10056660754aa7a2cba41e56806d (MD5) Previous issue date: 2015 en
dc.language.iso sr en_US
dc.publisher Beograd en_US
dc.title OCENJIVANJE PARAMETRA POUZDANOSTI DVOKOMPONENTNOG SISTEMA en_US
mf.author.birth-date 1975-03-20
mf.author.birth-place Bijeljina en_US
mf.author.birth-country Srbija en_US
mf.author.residence-state Srbija en_US
mf.author.citizenship Srpsko en_US
mf.author.nationality Srbin en_US
mf.subject.area Mathematics en_US
mf.subject.keywords stress-strength, reliability, geometric distribution, Poisson dis- tribution, exponential distribution, maximum likelihood estimator, uniformly minimum variance unbiased estimator, Bayes estimator, confdence intervals, bootstrap en_US
mf.subject.subarea Probability and Statistics en_US
mf.contributor.committee Janković, Slobodanka
mf.contributor.committee Petrović, Ljiljana
mf.university.faculty Mathematical Faculty en_US
mf.document.references 105 en_US
mf.document.pages 141 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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