Recently, it has been observed that a new method for generating continuous distributions, T- X family, can be quite effectively used to analyze the data in one dimension. The aim of this study is to generalize this method to two-dimensional space so that the marginals would have T- X distributions. So, several examples and properties of this family have been presented. As an application, a special distribution of this family, called bivariate Weibull-Rayleigh-Rayleigh, is fitted to a data set and is shown to have a better fit.
