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Singularity of distributions of random variables given by distributions of elements of the corresponding continued fraction

The structure of the distribution of a random variable for which elements of the corresponding elementary continued fraction are independent random variables is completely studied. We prove that the distribution is pure and the absolute continuity is impossible, give a criterion of singularity, and...

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Bibliographic Details
Date:	1996
Main Authors:	Pratsiovytyi, M. V., Працьовитий, М. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5252
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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