Cheating is a serious problem in many countries. The cheater gets higher marks than deserved, thus reducing the efficiency of a country's educational system. In this study, the authors did not ask if and how often the student had cheated, but rather what the student's opinion was about a...

The Hessian of the multivariate normal mixture model is derived, and estimators of the information matrix are obtained, thus enabling consistent estimation of all parameters and their precisions. The usefulness of the new theory is illustrated with two examples and some simulation experiments....

The recently proposed 'weighted average least squares' (WALS) estimator is a Bayesian combination of frequentist estimators. It has been shown that the WALS estimator possesses major advantages over standard Bayesian model averaging (BMA) estimators: the WALS estimator has bounded risk, allows a...

We consider the question whether top tennis players in a top tournament (Wimbledon) employ an optimal (efficient) service strategy.We show that top players do not, in general, follow an optimal strategy, and we provide a lower bound of the inefficiency.The inefficiency regarding winning a point...

Abstract: In specifying a regression equation, we need to determine which regressors to include, but also how these regressors are measured. This gives rise to two levels of uncertainty: concepts (level 1) and measurements within each concept (level 2). In this paper we propose a hierarchical...

In this paper we shall be interested in two questions on extremes relating to world records in athletics.The first question is: what is the ultimate world record in a specific athletics event (such as the 100m for men or the high jump for women), given today's state of the art?Our second...

In the context of extreme climate change, we ask how to conduct expected utility analysis in the presence of catastrophic risks. Economists typically model decision making under risk and uncertainty by expected util- ity with constant relative risk aversion (power utility); statisticians typi-...