The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept

<p> A new form of the strong law of large numbers for dependent vector sequences using the “double averaged” correlation function is presented. The suggested theorem generalizes the well-known Cramer–Lidbetter's theorem and states more general conditions f...

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Main Author:	Poznyak Alex S.
Format:	Article
Language:	English
Published:	Hindawi Limited 2001-01-01
Series:	Mathematical Problems in Engineering
Subjects:	Law of large numbers; Correlation function; Forming filter; Dependent processes
Online Access:	http://www.hindawi.net/access/get.aspx?journal=mpe&volume=7&pii=S1024123X01001545

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spelling	doaj-a6aca369b2d54ab4bab016f27a225ed32020-11-24T23:50:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472001-01-01718795The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging conceptPoznyak Alex S.<p> A new form of the strong law of large numbers for dependent vector sequences using the “double averaged” correlation function is presented. The suggested theorem generalizes the well-known Cramer–Lidbetter's theorem and states more general conditions for fulfilling the strong law of large numbers within the class of vector random processes generated by a non stationary stable forming filters with an absolutely integrable impulse function.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=7&pii=S1024123X01001545Law of large numbers; Correlation function; Forming filter; Dependent processes
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Poznyak Alex S.
spellingShingle	Poznyak Alex S. The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept Mathematical Problems in Engineering Law of large numbers; Correlation function; Forming filter; Dependent processes
author_facet	Poznyak Alex S.
author_sort	Poznyak Alex S.
title	The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept
title_short	The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept
title_full	The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept
title_fullStr	The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept
title_full_unstemmed	The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept
title_sort	strong law of large numbers for dependent vector processes with decreasing correlation: double averaging concept
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2001-01-01
description	<p> A new form of the strong law of large numbers for dependent vector sequences using the “double averaged” correlation function is presented. The suggested theorem generalizes the well-known Cramer–Lidbetter's theorem and states more general conditions for fulfilling the strong law of large numbers within the class of vector random processes generated by a non stationary stable forming filters with an absolutely integrable impulse function.</p>
topic	Law of large numbers; Correlation function; Forming filter; Dependent processes
url	http://www.hindawi.net/access/get.aspx?journal=mpe&volume=7&pii=S1024123X01001545
work_keys_str_mv	AT poznyakalexs thestronglawoflargenumbersfordependentvectorprocesseswithdecreasingcorrelationdoubleaveragingconcept AT poznyakalexs stronglawoflargenumbersfordependentvectorprocesseswithdecreasingcorrelationdoubleaveragingconcept
_version_	1725478973508419584

The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept

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