Let X1,X2,… be independent random variables observed sequentially and such that X1,…,Xθ−1 have a common probability density p0, while Xθ,Xθ+1,… are all distributed according to p1≠p0. It is assumed that p0 and p1 are known, but the time change θ∈Z+ is unknown and the goal is to...

We apply the well-known CUSUM, the Girshick-Rubin, the Graversen-Peskir- Shiryaev and an improved alteration of the Brodsky-Darkovsky algorithm as trading strategies involving only mutually exclusive long positions in cash and the DAX at Xetra intraday auction prices. We select optimal pairs of...

[Statement of the problem] The present work considers the problem of investment portfolio risk estimation, including dynamic adjustment for each new transaction. Any Bank portfolio has a complex structure. It consists of stocks, bonds and a set of derivative securities. A portion of bonds and...

In this paper we study a hedging problem for European options taking into account the presence of transaction costs. In incomplete markets, i.e. markets without classical restriction, there exists a unique martingale measure. Our approach is based on the Föllmer-Schweizer-Sondermann concept of...

[Einführung] Die Erhaltungsgesetze sind bedeutende Gesetzmäßigkeiten in der Warteschlangentheorie (oder Bedienungstheorie) [4], [5]. Sie stellen eine invariante Gleichung in der breiten Klasse der Abfertigungsdisziplinen dar. Die Abfertigungsdisziplinen sind die Regeln, welche die Reihenfolge...

We apply the well-known CUSUM and the Girshick-Rubin algorithm as trading strategies involving only mutually exclusive long positions in cash and the DAX at Frankfurt mid-day auction prices. We select optimal pairs of fixed thresholds for up- and down-movements from a pre-defined two-dimensional...