In this paper, we study the Kelly criterion in the continuous time framework building on the work of E.O. Thorp and others. The existence of an optimal strategy is proven in a general setting and the corresponding optimal wealth process is found. A simple formula is provided for calculating the...

We derive a functional central limit theorem for the empirical spectral measure or discretely averaged (integrated) periodogram of a multivariate long range dependent stochastic process in a degenerating neighborhood of the origin. We show that, under certain restrictions on the memory...

This discussion paper led to a forthcoming publication in </I>Journal of Regional Science</I> entitled 'Are EU Countries less Integrated than US States? Theory and Evidence'.<P>European economic integration is commonly believed to be incomplete, and that further reforms are needed. In this context, the...</p>

This paper introduces a representation of an integrated vectortime series in which the coefficient of multiple correlation computed fromthe long-run covariance matrix of the innovation sequences is a primitiveparameter of the model. Based on this representation, a notion of nearcointegration is...

Purpose – The purpose of this paper is to argue that a stationary-differenced autoregressive (AR) process with lag greater than 1, AR( q 1), has certain properties that are consistent with a fractional Brownian motion (fBm). What the authors are interested in is the investigation of...