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Author Diawara, Norou ♦ Das, Kumer Pial
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Joint Distribution ♦ Linearly Related Model ♦ Bivariate Exponential ♦ Survival Analysis ♦ Related Event ♦ Positive Support Multivariate Distribution Theory ♦ Measure Zero ♦ Familiar Lifetime Family ♦ Multivariate Distribution ♦ Exponential Distribution ♦ Novel Approach ♦ Marginal Distribution ♦ Discrete Case Model ♦ Bivariate Exponential Distribution ♦ Nonzero Probability ♦ Fundamental Result
Abstract In this paper, fundamental results of the joint distribution of the bivariate exponential distributions are established. The positive support multivariate distribution theory is important in reliability and survival analysis, and we applied it to the case where more than one failure or survival is observed in a given study. Usually, the multivariate distribution is restricted to those with marginal distributions of a specified and familiar lifetime family. The family of exponential distribution contains the absolutely continuous and discrete case models with a nonzero probability on a set of measure zero. Examples are given, and estimators are developed and applied to simulated data. Our findings generalize substantially known results in the literature, provide flexible and novel approach for modeling related events that can occur simultaneously from one based event.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study