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Weak invariance principle for solutions of stochastic recurrence equations in a banach space

We show that, in a Banach space, continuous random processes constructed by using solutions of the difference equationX n =A n X n+1+V n , n=1, 2,..., converge in distribution to a solution of the corresponding operator equation.

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Bibliographic Details
Date:	1995
Main Authors:	Koval, V. A., Коваль, В. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1995
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5390
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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