Some topics in reliability theory

dc.contributor.author Ebrahimi, Nader
dc.contributor.department Statistics
dc.date 2018-08-16T07:04:03.000
dc.date.accessioned 2020-07-02T06:00:06Z
dc.date.available 2020-07-02T06:00:06Z
dc.date.copyright Tue Jan 01 00:00:00 UTC 1980
dc.date.issued 1980
dc.description.abstract <p>Various notions of multivariate negative dependence are introduced and their interrelationship is studied. Examples are given to illustrate these concepts. Applications of the results in statistics and probability are given. A partial ordering is developed among negative quadrant dependent distributions with fixed marginals. Basic properties and closure under certain statistical operations are derived. Applications of the results in statistics and probability are given.;Various definitions of multivariate new better than used (NBU) and new better than used in expectation (NBUE) life distributions are introduced and their interrelationship is studied. Examples are given to illustrate these concepts. Various closure properties of multivariate NBU and NBUE distributions are proved. Finally, it is shown how shock models governed by a general counting process satisfying certain conditions can generate multivariate NBU and NBUE distributions.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/7371/
dc.identifier.articleid 8370
dc.identifier.contextkey 6310015
dc.identifier.doi https://doi.org/10.31274/rtd-180813-6349
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/7371
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/80241
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/7371/r_8019629.pdf|||Sat Jan 15 01:46:52 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Statistics
dc.title Some topics in reliability theory
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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