Motivated by an ecological sampling problem, we compare a Poisson distribution having a fixed mean with a Poisson distribution having a random mean, which has an arbitrary continuous (or discrete) probability distribution. These comparisons are made with respect to the likelihood ratio ordering,...

Motivated by problems in molecular biosciences wherein the evaluation of entropy of a molecular system is important for understanding its thermodynamic properties, we consider the efficient estimation of entropy of a multivariate normal distribution having unknown mean vector and covariance...