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...

Functional data analysis (FDA) has become a popular technique in applied statistics.In particular, this methodology has received considerable attention in recent studiesin empirical finance. In this talk we discuss selected topics of functional principalcomponents analysis that are motivated by...

Trading, hedging and risk analysis of complex option portfolios depend on accurate pricing models. The modelling of implied volatilities (IV) plays an important role, since volatility is the crucial parameter in the Black-Scholes (BS) pricing formula. It is well known from empirical studies that...