The Resource Almost sure invariance principles for partial sums of weakly dependent random variables, Walter Philipp and William Stout
Almost sure invariance principles for partial sums of weakly dependent random variables, Walter Philipp and William Stout
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The item Almost sure invariance principles for partial sums of weakly dependent random variables, Walter Philipp and William Stout represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.This item is available to borrow from 1 library branch.
Resource Information
The item Almost sure invariance principles for partial sums of weakly dependent random variables, Walter Philipp and William Stout represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.
This item is available to borrow from 1 library branch.
 Summary
 A strong revival of interest in the law of the iterated logarithm and related asymptotic fluctuation results has occurred in the last decade, stimulated by two remarkable papers by Volker Strassen. In these papers, Strassen introduces a new method for establishing such fluctuation results for sums of independent random variables and for martingales. Strassen's almost sure invariance principle for martingales states that each martingale satisfying a certain second moment condition is with probability on "close" to a Brownian motion. In this monograph we investigate the asymptotic fluctuation behavior of sums of weakly dependent random variables, such as lacunary trigonometric mixing, and Gaussian sequences
 Language
 eng
 Extent
 1 online resource (145 pages)
 Note
 "Volume 2, issue 2."
 Contents

 A refinement of the ShannonMcMillanBreiman theorem
 Markov sequences
 Retarded asymptotic martingale difference sequences
 Continuous parameter stochastic processes
 Appendix 1.
 The GaalKoksma strong law of large numbers
 Appendix 2.
 An example
 Introduction
 Description of the method
 Lacunary trigonometric series with unweighted summands
 Stationary [capital Greek] Phimixing sequences
 Gaussian sequences
 Lacunary trigonometric series with weights
 Functions of strongly mixing random variables
 Nonstationary mixing sequences
 Isbn
 9781470405472
 Label
 Almost sure invariance principles for partial sums of weakly dependent random variables
 Title
 Almost sure invariance principles for partial sums of weakly dependent random variables
 Statement of responsibility
 Walter Philipp and William Stout
 Language
 eng
 Summary
 A strong revival of interest in the law of the iterated logarithm and related asymptotic fluctuation results has occurred in the last decade, stimulated by two remarkable papers by Volker Strassen. In these papers, Strassen introduces a new method for establishing such fluctuation results for sums of independent random variables and for martingales. Strassen's almost sure invariance principle for martingales states that each martingale satisfying a certain second moment condition is with probability on "close" to a Brownian motion. In this monograph we investigate the asymptotic fluctuation behavior of sums of weakly dependent random variables, such as lacunary trigonometric mixing, and Gaussian sequences
 Cataloging source
 E7B
 http://library.link/vocab/creatorDate
 1936
 http://library.link/vocab/creatorName
 Philipp, Walter
 Dewey number

 510/.8 s
 519.2
 Index
 no index present
 LC call number
 QA273
 LC item number
 .P45 1975eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1940
 http://library.link/vocab/relatedWorkOrContributorName
 Stout, William F.
 Series statement
 Memoirs of the American Mathematical Society,
 Series volume
 volume 2, issue 2, number 161 (July 1975)
 http://library.link/vocab/subjectName

 Random variables
 Partial sums (Series)
 Sequences (Mathematics)
 Stochastic processes
 Partial sums (Series)
 Random variables
 Sequences (Mathematics)
 Stochastic processes
 Label
 Almost sure invariance principles for partial sums of weakly dependent random variables, Walter Philipp and William Stout
 Note
 "Volume 2, issue 2."
 Bibliography note
 Includes bibliographical references (pages 138140)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 A refinement of the ShannonMcMillanBreiman theorem
 Markov sequences
 Retarded asymptotic martingale difference sequences
 Continuous parameter stochastic processes
 Appendix 1.
 The GaalKoksma strong law of large numbers
 Appendix 2.
 An example
 Introduction
 Description of the method
 Lacunary trigonometric series with unweighted summands
 Stationary [capital Greek] Phimixing sequences
 Gaussian sequences
 Lacunary trigonometric series with weights
 Functions of strongly mixing random variables
 Nonstationary mixing sequences
 Control code
 884584379
 Dimensions
 unknown
 Extent
 1 online resource (145 pages)
 Form of item
 online
 Isbn
 9781470405472
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Specific material designation
 remote
 System control number
 (OCoLC)884584379
 Label
 Almost sure invariance principles for partial sums of weakly dependent random variables, Walter Philipp and William Stout
 Note
 "Volume 2, issue 2."
 Bibliography note
 Includes bibliographical references (pages 138140)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 A refinement of the ShannonMcMillanBreiman theorem
 Markov sequences
 Retarded asymptotic martingale difference sequences
 Continuous parameter stochastic processes
 Appendix 1.
 The GaalKoksma strong law of large numbers
 Appendix 2.
 An example
 Introduction
 Description of the method
 Lacunary trigonometric series with unweighted summands
 Stationary [capital Greek] Phimixing sequences
 Gaussian sequences
 Lacunary trigonometric series with weights
 Functions of strongly mixing random variables
 Nonstationary mixing sequences
 Control code
 884584379
 Dimensions
 unknown
 Extent
 1 online resource (145 pages)
 Form of item
 online
 Isbn
 9781470405472
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Specific material designation
 remote
 System control number
 (OCoLC)884584379
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