We obtain simple and generally applicable conditions for the existence of mixed moments E([X /[X AX/X n symmetric matrices and X is a random n-vector. Our principal theorem is easily stated when X has an elliptically symmetric distribution, which class includes the multivariate normal and t...

Expressing products of independent beta and gamma variates as mixtures of gamma variates, we exhibit a means of calculating the distribution function of generalised mortality rates when the sums at risk have a gamma distribution, allowing for realistic and consistent movements into and out of...

This paper discusses the synthesis of partial effect sizes derived from multivariate settings. The general statistical properties of the d-effect size are derived, extending Hedges's statement of zero-order properties. These general properties have direct relevance in the synthesis of a set of...

An immediate consequence of the Efficient Market Hypothesis (EMH) is the absence of auto-correlation of the return series of the financial prices and the exclusion of excess profitability made by any (active) trading strategy. However, the precondition for the validity of EMH, which assumes that...

Catastrophe insurance markets have changed beyond recognition since the sudden upturn in claims beginning in 1966. There is now a growing tendency for risk manager to bypass traditional insurance markets, and a variety of instruments designed directly to transfer risk to the financial markets....

We find the distribution function of a ration of dependent random variables which can represent a generalised mortality rate in a demographic or life insurance context. Each death in the numerator and each unit of exposure in the denominator are weighted by a random sum at risk, which is assumed...