In recent years fractionally differenced processes have received a great deal of attention due to its flexibility in financial applications with long memory. This paper considers a class of models generated by Gegenbauer polynomials, incorporating the long memory in stochastic volatility (SV)...

A distance between pairs of sets of autoregressive moving average (ARMA) processes is proposed. Its main properties are discussed. The paper also shows how the proposed distance finds application in time series analysis. In particular it can be used to evaluate the distance between portfolios of...

The paper derives a Multivariate Asymmetric Long Memory conditional volatility model with Exogenous Variables (X), or the MALMX model, with dynamic conditional correlations, appropriate regularity conditions, and associated asymptotic theory. This enables checking of internal consistency and...

Diese Dissertation ist in drei Kapitel sowie eine Einleitung unterteilt. Die Einleitung führt in das Themengebiet ein, fasst die Kapitel zusammen und zeigt deren Zusammenhänge auf. Jedes Kapitel beschäftigt sich mit der Analyse von Finanzzeitreihen. Dabei wird insbesondere den „stylized...