Stochastic integral

At time 0 (today), we know with certitude the stock price and we cannot identify which of the states of nature has occurred.. That’s why the sub-σ algebra F 0 is the trivial σ

Show that the de…nition of the stochastic integral for simple processes does not depend on the chosen representation..

The work of Ford, Kac and Mazur [1] suggests the existence of a quantum- mechanical analogue of the Ornstein-Uhlenbeck stochastic process [2]... If in addition

the distribution of the supremum for compound recurrent processes and for stochastic processes with stationary independent increments.. The paper also contains some

sult on the existence and uniqueness of the solution processes in Mc- Shane’s stochastic integral equation systems of the type (1), in order. to consider and to

We also calculate the first moment of the Choquet integral and we compare our results with the ones obtained in [8] which mainly concern the cases where the common distribution of X

Yong, Backward stochastic Volterra integral equations and some related problems, Stochastic Processes and their Application 116 (2006) 779 − 795.

Abstract This lecture contains the basics of Stochastic Process Theory. It starts with a quick review of the language of Probability Theory, of ran- dom variables, their laws and