On some classes of distributions
Szymon Sznajder (1971)
Colloquium Mathematicae
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Szymon Sznajder (1971)
Colloquium Mathematicae
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J Bartoszewicz (1991)
Applicationes Mathematicae
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Nooshin Hakamipour, Sadegh Rezaei, Saralees Nadarajah (2015)
Kybernetika
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Many lifetime distributions are motivated only by mathematical interest. Here, eight new families of distributions are introduced. These distributions are motivated as models for the stress of a system consisting of components working in parallel/series and each component has a fixed number of sub-components working in parallel/series. Mathematical properties and estimation procedures are derived for one of the families of distributions. A real data application shows superior performance...
Martial Guillaud, Jean-Marc Chassery (1991)
Statistique et analyse des données
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Leszek Knopik (2006)
Control and Cybernetics
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Christos P. Kitsos, Vassilios G. Vassiliadis, Thomas L. Toulias (2014)
Discussiones Mathematicae Probability and Statistics
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The introduced three parameter (position μ, scale ∑ and shape γ) multivariate generalized Normal distribution (γ-GND) is based on a strong theoretical background and emerged from Logarithmic Sobolev Inequalities. It includes a number of well known distributions such as the multivariate Uniform, Normal, Laplace and the degenerated Dirac distributions. In this paper, the cumulative distribution, the truncated distribution and the hazard rate of the γ-GND are presented. In addition, the...
Zbyněk Šidák (1973)
Aplikace matematiky
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Leszek Knopik (2005)
Control and Cybernetics
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L. Marzec (1991)
Applicationes Mathematicae
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Albert Sorribas, José M. Muiño, Montserrat Rué, Joan Fibla (2006)
SORT
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The GS-distribution is a family of distributions that provide an accurate representation of any unimodal univariate continuous distribution. In this contribution we explore the utility of this family as a general model in survival analysis. We show that the survival function based on the GS-distribution is able to provide a model for univariate survival data and that appropriate estimates can be obtained. We develop some hypotheses tests that can be used for checking the underlying survival...