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On the quadratic variation of semi-martingales

2010
Let X be a semi-martingale. Techniques of [1] and El Karoui (in [3] and [4]) are used to study the convergence of 2∊ times the number of upcrossings of [x, x+∊] by X to its local time at x. If X is continuous and if there exists a bicontinuous version of its local time process, then off a single null set, the convergence is shown to be uniform in x ...
openaire   +1 more source

Stochastic calculus with respect to continuous finite quadratic variation processes

Stochastic and Stochastics Reports, 2000
Francesco Russo, Pierre Vallois
exaly  

Quadratic variation of martingales in Riesz spaces

Journal of Mathematical Analysis and Applications, 2014
Jacobus J Grobler   +2 more
exaly  

A Quadratic Variational Method in the Eidetic

Singapore International Conference on Intelligent Control and Instrumentation [Proceedings 1992], 2005
B. De Gemmis   +3 more
openaire   +1 more source

On the convergence of quadratic variation for compound fractional Poisson processes

Fractional Calculus and Applied Analysis, 2012
Enrico Scalas
exaly  

Optimal trade execution: A mean quadratic variation approach

Journal of Economic Dynamics and Control, 2012
Peter A Forsyth
exaly  

Quadratic variation of the local time of a random walk

Statistics and Probability Letters, 1993
Antonia Foldes, Pal Revesz
exaly  

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