الفهرس Only 14 pages are availabe for public view
 |  | from | 105 |  |  |
| | | from | 105 | | |
Abstract
Based on this Study introduces a new class of bivariate exponentiated modified Weibull distribution, whose marginals are exponentiated modified Weibull distributions. This new six-parameter distribution is obtained using a similar method to that used [Marshall-Olkin 1967]. The new distribution includes other bivariate distributions as special cases, such as, bivariate exponential distribution, bivariate generalized linear failure rate distribution, etc. The joint cumulative distribution function (cdf) is expressed as a mixture of an absolute continuous distribution function and a singular distribution function and the joint probability density function (pdf) of the bivariate exponentiated modified Weibull distribution can take deferent shapes. The bivariate exponentiated modified Weibull distribution may be used in the construction and analysis of maintenance models, stress-strength models, competing risks models, or shock models. The conditional distribution of one the variables given the other assuming a given value have been obtained. Also, the moments and the moment generating function are given. A method to obtain a random sample from this distribution is described and applied