Functional law of the iterated logarithm

 

 


Publications of M.A. Lifshits (selection):

 

Lower functions of empirical processes and Brownian sheets (joint with Z.Shi), Theor. Probab. Appl, 2003, 48, 321-339 (in Russian).
Abstract

Some exact rates in the functional law of the iterated logarithm. (joint with Ph. Berthet). Ann. Inst. A. Poincaré, 2002, 38, 6, 811-824.
Abstract

Chung law and Csáki function (joint with N. Gorn).  J. Theor. Probab., 1999, 12, 399-420.
Abstract

On the functional law of the iterated logarithm for partially observed sums of random variables (joint with N. L. Gorn). Zapiski Seminarov POMI, 1997, 244, 73-95 (in Russian). J. Math. Sci., 2000, 99, 1061-1074 (in English).
Abstract

Strassen laws of iterated logarithm for partially observed processes (joint with M.Weber). J. Theor. Probab., 1997, 10, 102-115.
Abstract

Rates of clustering in Strassen's law for random polygons (joint with A. V. Bulinskii). Zapiski Seminarov POMI, 1996, 228, 57-66 (in Russian). J. Math. Sci., 1999, 93, 287-293 (in English).
Abstract

Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors (joint with A. V. Bulinskii).Uspekhi Mat. Nauk, 1995, 50:5, 83-102 (in Russian); Russian Math. Surveys 50:5, 925-944 (in English).
Abstract

Best convergence rate in the Strassen law for random polygons (joint with A. V. Bulinskii). Vestnik Moskovskogo Universiteta, 1995, v.50, N 5, 37-42 (in Russian); Moscow University Math. Bull., v.50, N5, 31-36 (in English).
Abstract

Protuberance effect in generalized functional Révész-Strassen law (joint with P. Deheuvels). Zapiski Seminarov POMI, 1994, 216, 33-41 (in Russian).  J. Math. Sci., 1998, 88 (1), 22-28 (in English).
Abstract

Necessary and sufficient condition for the Strassen law of the iterated logarithm in non-uniform topologies (joint with P. Deheuvels), Ann.Probab., 1994, 22, 1838-1856.
Abstract

Strassen-type functional laws for strong topologies (joint with P. Deheuvels). Probab.Th. Rel. Fields, 1993, 97, 15-168.
Abstract