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Sums whose terms are elements of linear random regression sequences: asymptotic properties - Tapa blanda

Buldygin, Valerii; Runovska, Maryna

 
9783659536588: Sums whose terms are elements of linear random regression sequences: asymptotic properties
Tapa blanda
ISBN 10: 365953658X ISBN 13: 9783659536588
Editorial: LAP LAMBERT Academic Publishing, 2014

Sinopsis

One-dimensional and multi-dimensional linear regression sequences, sequences of partial sums, and series whose terms are elements of regression sequences appear as mathematical models in different fields of modern science. Their various applications in physics, economics, biology, cybernetics, actuary and financial mathematics motivate further study of the topic. In this book, we study the asymptotic behaviour of sequences of sums whose terms are elements of one-dimensional and multi-dimensional linear regressions with independent and symmetric noise. In particular, a great attention is paid to conditions which provide the almost sure convergence of series with regression terms. These problems are considered in both finite-dimensional and separable Banach spaces. This book is a result of joint successful work by Dr. Prof. V. Buldygin and Dr. M. Runovska.

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Reseña del editor

One-dimensional and multi-dimensional linear regression sequences, sequences of partial sums, and series whose terms are elements of regression sequences appear as mathematical models in different fields of modern science. Their various applications in physics, economics, biology, cybernetics, actuary and financial mathematics motivate further study of the topic. In this book, we study the asymptotic behaviour of sequences of sums whose terms are elements of one-dimensional and multi-dimensional linear regressions with independent and symmetric noise. In particular, a great attention is paid to conditions which provide the almost sure convergence of series with regression terms. These problems are considered in both finite-dimensional and separable Banach spaces. This book is a result of joint successful work by Dr. Prof. V. Buldygin and Dr. M. Runovska.

Biografía del autor

Dr. Prof. V. Buldygin (1946-2012), an outstanding Ukrainian mathematician, author of about 300 works, since 1986 was a head of Department of Mathematical Analysis and Probability Theory at National Technical University of Ukraine “KPI”. Dr. M. Runovska (born 1983), is a lecturer at NTUU “KPI”, Ph.D. student of Prof. V. Buldygin.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2014
Idioma
Inglés
ISBN 10 
365953658X
ISBN 13 
9783659536588
Encuadernación
Tapa blanda
Número de páginas
168
Contacto del fabricante
no disponible
Persona responsable
no disponible