Marshall–Olkin bivariate Weibull distributions and processes |
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| Authors: | K K Jose Miroslav M Risti? Ancy Joseph |
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| Institution: | 1.Department of Statistics,St. Thomas College,Pala,India;2.Faculty of Sciences and Mathematics,University of Ni?,Nis,Serbia;3.Department of Statistics,B.K. College,Kottayam,India |
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| Abstract: | In this paper we introduce a new probability model known as type 2 Marshall–Olkin bivariate Weibull distribution as an extension
of type 1 Marshall–Olkin bivariate Weibull distribution of Marshall–Olkin (J Am Stat Assoc 62:30–44, 1967). Various properties
of the new distribution are considered. Bivariate minification processes with the two types of Weibull distributions as marginals
are constructed and their properties are considered. It is shown that the processes are strictly stationary. The unknown parameters
of the type 1 process are estimated and their properties are discussed. Some numerical results of the estimates are also given. |
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