We consider Kyle's market order model of insider trading with multiple informed traders and show: if a linear equilibrium exists for two different numbers of informed traders, asset payoff and noise trading are independent and have finite second moments, then these random variables are normally...

Purpose – The purpose of this paper (the first of two) is to consider measures of risk commonly used in the analysis of both investment and insurance portfolios, and argue that there is a need for more appropriate measures to capture the uncertainty inherent in non‐normal (i.e. asymmetric...

Purpose – This editorial, the second of a two‐part series, proposes a new measure of risk for analyzing highly non‐normal (i.e. asymmetric and long‐tailed) random variables in the context of both investment and insurance portfolios. The proposed measure replaces the p ‐norm‐based...

The validity of standard confidence intervals constructed in survey sampling is based on the central limit theorem. For small sample sizes, the central limit theorem may give a poor approximation, resulting in confidence intervals that are misleading. We discuss this issue and propose methods...

Purpose – This editorial, the second of a two-part series, proposes a new measure of risk for analyzing highly non-normal (i.e. asymmetric and long-tailed) random variables in the context of both investment and insurance portfolios. The proposed measure replaces the p-norm-based definition of...

Over the years, crop insurance programs became the focus of agricultural policy in the USA, Spain, Mexico, and more recently in Brazil. Given the increasing interest in insurance, accurate calculation of the premium rate is of great importance. We address the crop-yield distribution issue and...

The official handicapping system of the Royal Canadian Golf Association (RCGA) is very similar to the handicapping system of the United States Golf Association (USGA). Although these handicapping systems are complex and have been carefully studied, the systems do not take statistical theory into...

For a class of multivariate skew normal distributions, the noncentral skew chi-square distribution is studied. The necessary and sufficient conditions under which a sequence of quadratic forms is generalized noncentral skew chi-square distributed random variables are obtained. Several examples...