The general relationship between an arbitrary frequency distribution and the expected value of the frequency distributions of its samples is discussed. A wide set of measurable quantities (“invariant moments”) whose expected value does not in general depend on the size of the sample is...

This paper analyzes the stochastic inventory control problem when the demand distribution is not known. In contrast to previous Bayesian inventory models, this paper adopts a non-parametric Bayesian approach in which the firm’s prior information is characterized by a Dirichlet process prior....

In this note we are concerned with the sums S=Y1+Y2+...+Yn, where every constituent follows the negative binomial distribution with arbitrary parameters. We derive the exact probability mass function and the cumulative probability function of S. We also show that one can relate to the...

In an attempt to reduce the time taken by social science Ph.D. candidates to obtain their degrees, the Economic and Social Science Research Council (ESRC) of the United Kingdom has decided to withhold funds from social science departments of academic institutions with the poorest Ph.D....