The quantity mean residual life time is also called stop-loss transform. In this thesis, it is used to characterize some univariate continuous distributions like exponential distribution. Moreover the higher-degree bivariate stop-loss transform is defined. Then, it is applied to generalize pervious results for characterizing some continuous bivariate distributions like bivariate Gumbel’s exponential distribution. Finally, a real data set is considered to explain the used theoretical results.
