  One of the important problem in reliability analysis is computation of
stress-strength reliability. But it is impractical to compute it in certain
situations. So the estimation stay as an alternative solution to get an
approximate value of the reliability. There are research papers which deals
with stress-strength reliability analysis using statistical distributions. In
this paper, a stress-strength reliability model for
exponential-gamma$(3,\lambda)$ distribution is introduced. The maximum
likelihood estimator (MLE) for the model parameters is derived. Asymptotic
distribution and confidence interval for the maximum likelihood estimates of
stress-strength reliability, $R=P(X>Y)$, are given. The numerical illustration
is performed using Monte Carlo simulations. The results are analyzed with real
data analysis.
