Bivariate Generalized Discrete Modified Weibull Distribution

In this paper, we introduce a new generalization of univariate and bivariate modified discrete Weibull distribution. Various properties of the univariate generalized modified discrete Weibull distribution, such as survival function, probability mass function, hazard rate function, probability generating function, and moment generating function, are derived. The joint distribution function, joint probability mass function, marginal distributions, moment generating function, and conditional distribution of the proposed bivariate distribution are derived. Parameters of the distributions are estimated using maximum likelihood estimation. The use of these distributions is illustrated using real-life datasets.

In this paper we introduce a new generalization of univariate and bivariate
modified discrete Weibull distribution. Various properties of univariate
generalized modified discrete Weibull distribution such as survival function,
probability mass function, hazard rate function, probability generating function,
moment generating function are derived. The joint distribution function,
joint probability mass function, marginal distributions, moment generating function,
conditional distribution of proposed bivariate distribution are derived.
Parameters of the distributions are estimated using Maximum likelihood estimation.
The use of these distributions are illustrated using real life data sets.