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arXiv 2014-01-14 0 views

Approximation of a multivariate conditional density

Virgile, Caron

Original · EN

This paper extends the result of Broniatowski and Caron (2013) pertaining to the asymptotic distribution of a random walk conditioned on its final value as the number of summands increase. We consider multivariate light-tailed random walk and present a sharp approximation of long runs conditioned by an average of a function of its summands as their number tends to infinity.

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