Displaying similar documents to “Random time changes for sock-sorting and other stochastic process limit theorems.”

Sojourn times.

Takács, Lajos (1996)

Journal of Applied Mathematics and Stochastic Analysis

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Convergence to infinitely divisible distributions with finite variance for some weakly dependent sequences

Jérôme Dedecker, Sana Louhichi (2005)

ESAIM: Probability and Statistics

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We continue the investigation started in a previous paper, on weak convergence to infinitely divisible distributions with finite variance. In the present paper, we study this problem for some weakly dependent random variables, including in particular associated sequences. We obtain minimal conditions expressed in terms of individual random variables. As in the i.i.d. case, we describe the convergence to the gaussian and the purely non-gaussian parts of the infinitely divisible limit....

Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space

Myung Kim (2005)

Open Mathematics

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In this paper, we evaluate various analytic Feynman integrals of first variation, conditional first variation, Fourier-Feynman transform and conditional Fourier-Feynman transform of cylinder type functions defined over Wiener paths in abstract Wiener space. We also derive the analytic Feynman integral of the conditional Fourier-Feynman transform for the product of the cylinder type functions which define the functions in a Banach algebra introduced by Yoo, with n linear factors. ...