Modern computing equipment is present at schools and universities at all levelsof education. 4 In the statistical sciences computers offer great opportunities toenrich the learning process by the means of e.g. animations, software integrationor on-the-fly computations. A personal review of...

Functional principal component analysis (FPCA) based on theKarhunen-Lo`eve decomposition has been successfully applied in manyapplications, mainly for one sample problems. In this paper we consider common functional principal components for two sample problems. Our research is motivated not only...

The implied volatility of a European option as a function of strike price and time to maturity forms a volatility surface. Traders price according to the dynamics of this high dimensional surface. Recent developments that employ semiparametric models approximate the implied volatility surface...

Risk management technology applied to high dimensional portfolios needs simple and fast methods for calculation of Value-at-Risk (VaR). The multivariate normal framework provides a simple off-the-shelf methodology but lacks the heavy tailed distributional properties that are observed in data. A...

Without doubt modern education in statistics must involve practical, computer-based data analysis but the question arises whether and how computational elements should be integrated into the canon of methodological education. Should the student see and study high-level programming code right at...

We propose marginal integration estimation and testing methods for the coefficients of varying coefficient multivariate regression model. Asymptotic distribution theory is developed for the estimation method which enjoys the same rate of convergence as univariate function estimation. For the...

Implied volatility is one of the key issues in modern quantitative finance, since plain vanilla option prices contain vital information for pricing and hedging of exotic and illiquid options. European plain vanilla options are nowadays widely traded, which results in a great amount of...

State price densities (SPD) are an important element in applied quantitativefinance. In a Black-Scholes model they are lognormal distributions with constant volatility parameter. In practice volatility changes and the distribution deviates from log-normality. We estimate SPDs using EUREX option...

Most dimension reduction methods based on nonparametric smoothing are highlysensitive to outliers and to data coming from heavy-tailed distributions. We showthat the recently proposed methods by Xia et al. (2002) can be made robust insuch a way that preserves all advantages of the original...

How can we measure and compare the relative performance of production units?If input and output variables are one dimensional, then the simplest way is tocompute efficiency by calculating and comparing the ratio of output and inputfor each production unit. This idea is inappropriate though, when...