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The purpose of the present paper is to prove a stochastic Taylor formula for two-parameter processes which extends the results of W. Wagner and E. Platen in the one-parameter case (6. C51-C71).
In this paper we study stochastic processes in R6nyi conditional probability spaces. We prove a conditional analogue of the Kolmogorov fundamental theorem.
In this paper we introduce several approximation schemes for It8 equations with two parameters which are suggested by the Lie-Trotter product formula from the theory of nonlinear semigroups. By usi...
Linear conditional expectations and quadratic conditional variances determine a class of stochastic processes with independent increments. Characterizations of the Wiener, Poisson, gamma, negative ...
The paper deals with non-negative stochastic processes X(t, w) (t 2 0) with stationary and independent increments, continuous on the right sample functions, non-degenerate to 0 and fulfilling the i...
Neyman and stochastic models      Neyman  stochastic models        2009/9/22
Neyman is well known for his fundamental contributions to the theory of statistics, but he started his statistical career by a series of papers on applications of statistics. These were applications...
The imposing sweep of this session's title - Critical Problems in New Quantitative Techniques, the high reputations of the discussants and the other speakers, together with sponsorship by three scho...
Our main focus is on the basic reproduction number, a quantity of central importance in mathematical epidemic theory, whose value essentially dictates whether or not a large epidemic outbreak can oc...
The paper deals with non-negative stochastic processes X ( t , a) (t 3 0) with stationary and independent increments, continuous on the right sample functions, non-degenerate to 0, and falling the ...
The control process that minimizes the quadratic performance functional associated with a quantum system whose evolution is described by a Hudson-Parthasarathy type stochastic differential equation...
Formulas for level crossing probabilities, ladder height distributions and related characteristics of a general class of processes with stationary bounded variations and continuous decreasing compon...
We consider finite-dimensional multivalued stochastic differential equations where the drift has a multivalued and monotone term. Existence and approximation results are obtained by an existence th...

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