We study the asymptotic covariance function of the sample mean and quantile, and derive a new and surprising characterization of the normal distribution: the asymptotic covariance between the sample ...

A Log-Normal distribution function is the normal distribution for the logarithm of the variable. In linear scale it is a highly skewed distribution with a long tail in the high productivity side.

An algorithm involving polynomial approximations for evaluation of the normal distribution function is presented which may be implemented in fast and accurate computer programs of moderate length.