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Showing 2005 · math.PRShow all
3 papers · 2 filters
math.PR2005★ 1 cited
Heavy points of a d-dimensional simple random walk
Endre Csáki, Antónia Földes, Pál Révész
For a simple symmetric random walk in dimension , a uniform strong law of large numbers is proved for the number of sites with given local time up to time .
math.PR2005★ 37 cited
Closures of exponential families
Imre Csiszar, Frantisek Matus
The variation distance closure of an exponential family with a convex set of canonical parameters is described, assuming no regularity conditions. The tools are the concepts of con…
math.PR2005
On the increments of the principal value of Brownian local time
Endre Csáki, Yueyun Hu
Let be a one-dimensional Brownian motion starting from 0. Define $Y(t)= \int_0^t{\d s \over W(s)} := \lim_{ε\to0} \int_0^t 1_{(|W(s)|> ε)} {\d s \over W(s)} $ as Cauchy's princ…