Weak approximation of the Wiener process from a Poisson process: the multidimensional parameter set case
We give an approximation in law of the d-parameter Wiener process by processes constructed from a Poisson process with parameter in . This approximation is an extension of previous results of Stroock (1982, Topics in Stochastic Differential Equations, Springer, Berlin) and Bardina and Jolis (2000, Bernoulli 4 (6)).
Year of publication: |
2000
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Authors: | Bardina, Xavier ; Jolis, Maria ; Rovira, Carles |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 50.2000, 3, p. 245-255
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Publisher: |
Elsevier |
Keywords: | d-parameter Wiener process Poisson process Weak convergence |
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