In this paper we consider three measures of overlap, namely Matusia's measure ρ, Morisita's measure λ and
Weitzman's measure Δ. These measures are usually used in
quantitative ecology and stress-strength models of reliability
analysis. Herein we consider two Weibull distributions having
the same shape parameter and different scale parameters. This
distribution is known to be the most flexible life distribution
model with two parameters. Monte Carlo evaluations are used to
study the bias and precision of some estimators of these overlap
measures. Confidence intervals for the measures are also
constructed via bootstrap methods and Taylor series approximation.