In this paper, the statistical properties of the Friday and Patil bivariate exponential distribution are discussed. Estimators of the parameters of the distribution are obtained using an intuitive approach and their properties are studied. Estimates of the parameters of the Freund bivariate exponential distribution are obtained as a special case. Moreover, using the relations between the parameters of the Marshall- Olkin and the Friday and Patil bivariate exponential distributions, estimators of the parameters of Marshall-Olkin bivariate exponential distribution are derived. Finally, numerical illustrations are performed to highlight the theoretical results.

exponential distribution, Friday and Patil bivariate exponential distribution, Freundbivariate exponential distribution, Marshall-Olkin bivariate exponential distribution, maximumlikelihood estimation, regression lines.