  This article is devoted to the study of overlap measures of densities of two
exponential populations. Various Overlapping Coefficients, namely: Matusita's
measure $\rho$, Morisita's measure $\lambda$ and Weitzman's measure $\Delta$. A
new overlap measure $\Lambda$ based on Kullback-Leibler measure is proposed.
The invariance property and a method of statistical inference of these
coefficients also are presented. Taylor series approximation are used to
construct confidence intervals for the overlap measures. The bias and mean
square error properties of the estimators are studied through a simulation
study.
