We consider the problem of estimating R=P(XY) where X and Y have independent exponential distributions with parameters θ and λ respectively and a common location parameter μ. Assuming that there is a prior guess or estimate R <Subscript>0</Subscript>, we develop various shrinkage estimators of R that incorporate...</subscript>

The Uniformly Minimum Variance Unbiased (UMVU) and the Maximum Likelihood (ML) estimations of R = P(X ≤ Y) and the associated variance are considered for independent discrete random variables X and Y. Assuming a discrete uniform distribution for X and the distribution of Y as a member of the...

We consider temporal aggregation of stationary and nonstationary time series with short memory, long memory and antipersistence, within the framework of fractional autoregressive processes. Asymptotically, long memory and antipersistence are preserved whereas short memory components vanish. In...