Matches in SemOpenAlex for { <https://semopenalex.org/work/W810080453> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W810080453 abstract "Freund [1961] introduced a bivariate extension of the exponential distribution that provides a model in which the exponential residual lifetime of one component depends on the working status of another component. VVe define and study an extension of the Freund distribution in this dissertation. In the first chapter we define some basic concepts that are needed for later devel opments. VV'e give the definition of the multivariate conditional hazard rate functions of a nonnegative absolutely continuous random vector and study a characterization of these functions in Section 1.1. Then we study some notions of aging: an increas ing failure rate (IFR) distribution, a decreasing failure rate (DFR) distribution, an increasing failure rate average (IFRA) distribution, and a decreasing failure rate av erage (DFRA) distribution in Section 1.2. In Section 1.3 v%'e study two concepts of multivariate dependence: association and positive quadrant dependence. In Chapter 2 we construct a shock model and the new bivariate distribution is the joint distribution of the resulting lifetimes. VV'e explicitly compute the density function, survival function, moment generating function, marginal density functions and marginal survival functions. .Also in this chapter, we study the correlation coeffi cient and other senses of positive dependence of the two random variables of the new bivariate distribution. Then we extend the new distribution to multivariate case. In Chapter 3 we study some aging properties. VVe obtain two results about the new distribution in n dimensions. The first result says that the marginal distributions of the new multivariate distribution have decrecising failure rate if the conditional hazard rates are decreasing and bounded above by 1. The second one concerns an (n 1 )out-of-n system such that the joint distribution of the lifetimes of each component is the new distribution in n dimensions. It gives conditions on the parameters under which the system hcis an IFRA distribution." @default.
- W810080453 created "2016-06-24" @default.
- W810080453 creator A5053895940 @default.
- W810080453 date "2000-01-01" @default.
- W810080453 modified "2023-09-28" @default.
- W810080453 title "Analysis of a new bivariate distribution in reliability theory" @default.
- W810080453 cites W2016644614 @default.
- W810080453 cites W2089220516 @default.
- W810080453 hasPublicationYear "2000" @default.
- W810080453 type Work @default.
- W810080453 sameAs 810080453 @default.
- W810080453 citedByCount "0" @default.
- W810080453 crossrefType "journal-article" @default.
- W810080453 hasAuthorship W810080453A5053895940 @default.
- W810080453 hasConcept C10515644 @default.
- W810080453 hasConcept C105795698 @default.
- W810080453 hasConcept C122123141 @default.
- W810080453 hasConcept C161584116 @default.
- W810080453 hasConcept C163164238 @default.
- W810080453 hasConcept C165216359 @default.
- W810080453 hasConcept C177384507 @default.
- W810080453 hasConcept C18653775 @default.
- W810080453 hasConcept C33923547 @default.
- W810080453 hasConcept C42600057 @default.
- W810080453 hasConcept C55350006 @default.
- W810080453 hasConcept C64341305 @default.
- W810080453 hasConcept C84181548 @default.
- W810080453 hasConceptScore W810080453C10515644 @default.
- W810080453 hasConceptScore W810080453C105795698 @default.
- W810080453 hasConceptScore W810080453C122123141 @default.
- W810080453 hasConceptScore W810080453C161584116 @default.
- W810080453 hasConceptScore W810080453C163164238 @default.
- W810080453 hasConceptScore W810080453C165216359 @default.
- W810080453 hasConceptScore W810080453C177384507 @default.
- W810080453 hasConceptScore W810080453C18653775 @default.
- W810080453 hasConceptScore W810080453C33923547 @default.
- W810080453 hasConceptScore W810080453C42600057 @default.
- W810080453 hasConceptScore W810080453C55350006 @default.
- W810080453 hasConceptScore W810080453C64341305 @default.
- W810080453 hasConceptScore W810080453C84181548 @default.
- W810080453 hasLocation W8100804531 @default.
- W810080453 hasOpenAccess W810080453 @default.
- W810080453 hasPrimaryLocation W8100804531 @default.
- W810080453 hasRelatedWork W1484390982 @default.
- W810080453 hasRelatedWork W1535705599 @default.
- W810080453 hasRelatedWork W2008855564 @default.
- W810080453 hasRelatedWork W2048603241 @default.
- W810080453 hasRelatedWork W2086794125 @default.
- W810080453 hasRelatedWork W2101925131 @default.
- W810080453 hasRelatedWork W2127294591 @default.
- W810080453 hasRelatedWork W2150074869 @default.
- W810080453 hasRelatedWork W2164438788 @default.
- W810080453 hasRelatedWork W2300310023 @default.
- W810080453 hasRelatedWork W2378300505 @default.
- W810080453 hasRelatedWork W3187817851 @default.
- W810080453 hasRelatedWork W339593385 @default.
- W810080453 isParatext "false" @default.
- W810080453 isRetracted "false" @default.
- W810080453 magId "810080453" @default.
- W810080453 workType "article" @default.