2017
Том 69
№ 9

All Issues

Functional law of iterated logarithm for normalized integrals of processes with weak dependence

Bondarev B. V., Korolev M. E.

Full text (.pdf)


Abstract

For normalized integrals of processes with weak dependence, we prove the law of iterated logarithm in the Strassen form. The results obtained are used for the construction of a curvilinear confidence region in which a solution of an equation with small parameter is sought.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 4, pp 539-549.

Citation Example: Bondarev B. V., Korolev M. E. Functional law of iterated logarithm for normalized integrals of processes with weak dependence // Ukr. Mat. Zh. - 1997. - 49, № 4. - pp. 490–499.

Full text