الفهرس | Only 14 pages are availabe for public view |
Abstract The thesis is presented as follows. In order to expand the flexibility of probability distributions. Kumaraswamy type method was used to derive truncated bivariate exponential distribution. Also, the joint probability mass function for the geometric sum of the bivariate negative binomial distribution was introduced. We presented a bivariate Exponentiated Fr´echet distribution, then the joint probability density function of bivariate Fr´echet distribution was obtained. Statistical measures of these distributions were derived. Randomly generated data was studied to show the behavior of the estimated parameters as it converges to the true value in all cases when the sample size increases for all distributions by maximum likelihood method. We provided applications to real data sets to show the superiority of proposed distribution compared with other related distributions. |