Fisher's “Nile” example is a classic that involves a bivariate random variable (X, Y) having a
joint probability density function given by f (x, y; θ)= exp (− θx− θ− 1y), 0< x, y<∞, where θ> 0 …

The main thrust of this article is to provide counterexamples where the variance of the
UMVUE does not achieve the Cramer-Rao lower bound. We provided many motivating …

Fisher's “Nile” example is a classic which involves a bivariate random variable (X, Y) having
a joint probability density function given by f (x, y; θ)= exp (− θx− θ− 1y), 0< x, y<∞, where θ> …

Broad distributions appear frequently in empirical data obtained from natural systems even
in seemingly unrelated domains. The emergence of power law distributions is so ubiquitous …

Abstract Fisher's (1934, 1956)" Nile" example is a classic. He revisited this example a
number of times and it was reproduced in a 1973 edition (Fisher 1973, pp. 122). The" Nile" …