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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Jose, K.K., Ristić, M.M. & Joseph, A. Marshall–Olkin bivariate Weibull distributions and processes. Stat Papers 52, 789–798 (2011). https://doi.org/10.1007/s00362-009-0287-8
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DOI: https://doi.org/10.1007/s00362-009-0287-8
Keywords
- Type 1 and type 2 Marshall–Olkin bivariate Weibull distribution
- Marshall–Olkin bivariate exponential distribution
- Bivariate minification process
- Stationary process
- Estimation