Verfügbarkeit: Decoupling :: THWS Bibkatalog

Decoupling: From Dependence to Independence

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Bibliographische Detailangaben
1. Verfasser:	Peña, Víctor H. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	New York, NY Springer New York 1999
Schriftenreihe:	Probability and its Applications, A Series of the Applied Probability Trust
Schlagworte:	Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik U-Stichprobenfunktion Optimales Stoppen Wahrscheinlichkeitsrechnung Stochastische Abhängigkeit Unabhängige Zufallsvariable Martingal
Online-Zugang:	Volltext
Beschreibung:	Decoupling theory provides a general framework for analyzing problems involving dependent random variables as if they were independent. It was born in the early eighties as a natural continuation of martingale theory and has acquired a life of its own due to vigorous development and wide applicability. The authors provide a friendly and systematic introduction to the theory and applications of decoupling. The book begins with a chapter on sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies in two specific areas, randomly stopped processes (boundary crossing problems) and unbiased estimation (U-- statistics and U--processes), where it has become a basic tool in obtaining several definitive results. In particular, decoupling is an essential component in the development of the asymptotic theory of U-- statistics and U--processes. The authors then proceed with the theory of decoupling in full generality. Special attention is given to comparison and interplay between martingale and decoupling theory, and to applications. Among other results, the applications include limit theorems, momemt and exponential inequalities for martingales and more general dependence structures, results with biostatistical implications, and moment convergence in Anscombe's theorem and Wald's equation for U--statistics. This book is addressed to researchers in probability and statistics and to graduate students. The expositon is at the level of a second graduate probability course, with a good portion of the material fit for use in a first year course. Victor de la Pe$a is Associate Professor of Statistics at Columbia University and is one of the more active developers of decoupling
Beschreibung:	1 Online-Ressource (XV, 392 p)
ISBN:	9781461205371 9781461268086
ISSN:	1431-7028
DOI:	10.1007/978-1-4612-0537-1

Internformat

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spelling	Peña, Víctor H. Verfasser aut Decoupling From Dependence to Independence by Víctor H. Peña, Evarist Giné Randomly Stopped Processes U-Statistics and Processes Martingales and Beyond New York, NY Springer New York 1999 1 Online-Ressource (XV, 392 p) txt rdacontent c rdamedia cr rdacarrier Probability and its Applications, A Series of the Applied Probability Trust 1431-7028 Decoupling theory provides a general framework for analyzing problems involving dependent random variables as if they were independent. It was born in the early eighties as a natural continuation of martingale theory and has acquired a life of its own due to vigorous development and wide applicability. The authors provide a friendly and systematic introduction to the theory and applications of decoupling. The book begins with a chapter on sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies in two specific areas, randomly stopped processes (boundary crossing problems) and unbiased estimation (U-- statistics and U--processes), where it has become a basic tool in obtaining several definitive results. In particular, decoupling is an essential component in the development of the asymptotic theory of U-- statistics and U--processes. The authors then proceed with the theory of decoupling in full generality. Special attention is given to comparison and interplay between martingale and decoupling theory, and to applications. Among other results, the applications include limit theorems, momemt and exponential inequalities for martingales and more general dependence structures, results with biostatistical implications, and moment convergence in Anscombe's theorem and Wald's equation for U--statistics. This book is addressed to researchers in probability and statistics and to graduate students. The expositon is at the level of a second graduate probability course, with a good portion of the material fit for use in a first year course. Victor de la Pe$a is Associate Professor of Statistics at Columbia University and is one of the more active developers of decoupling Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik U-Stichprobenfunktion (DE-588)4279548-5 gnd rswk-swf Optimales Stoppen (DE-588)4230259-6 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Stochastische Abhängigkeit (DE-588)4220425-2 gnd rswk-swf Unabhängige Zufallsvariable (DE-588)4205983-5 gnd rswk-swf Martingal (DE-588)4126466-6 gnd rswk-swf Optimales Stoppen (DE-588)4230259-6 s 1\p DE-604 U-Stichprobenfunktion (DE-588)4279548-5 s 2\p DE-604 Martingal (DE-588)4126466-6 s 3\p DE-604 Unabhängige Zufallsvariable (DE-588)4205983-5 s 4\p DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 5\p DE-604 Stochastische Abhängigkeit (DE-588)4220425-2 s 6\p DE-604 Giné, Evarist Sonstige oth https://doi.org/10.1007/978-1-4612-0537-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Peña, Víctor H. Decoupling From Dependence to Independence Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik U-Stichprobenfunktion (DE-588)4279548-5 gnd Optimales Stoppen (DE-588)4230259-6 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Stochastische Abhängigkeit (DE-588)4220425-2 gnd Unabhängige Zufallsvariable (DE-588)4205983-5 gnd Martingal (DE-588)4126466-6 gnd
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title	Decoupling From Dependence to Independence
title_alt	Randomly Stopped Processes U-Statistics and Processes Martingales and Beyond
title_auth	Decoupling From Dependence to Independence
title_exact_search	Decoupling From Dependence to Independence
title_full	Decoupling From Dependence to Independence by Víctor H. Peña, Evarist Giné
title_fullStr	Decoupling From Dependence to Independence by Víctor H. Peña, Evarist Giné
title_full_unstemmed	Decoupling From Dependence to Independence by Víctor H. Peña, Evarist Giné
title_short	Decoupling
title_sort	decoupling from dependence to independence
title_sub	From Dependence to Independence
topic	Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik U-Stichprobenfunktion (DE-588)4279548-5 gnd Optimales Stoppen (DE-588)4230259-6 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Stochastische Abhängigkeit (DE-588)4220425-2 gnd Unabhängige Zufallsvariable (DE-588)4205983-5 gnd Martingal (DE-588)4126466-6 gnd
topic_facet	Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik U-Stichprobenfunktion Optimales Stoppen Wahrscheinlichkeitsrechnung Stochastische Abhängigkeit Unabhängige Zufallsvariable Martingal
url	https://doi.org/10.1007/978-1-4612-0537-1
work_keys_str_mv	AT penavictorh decouplingfromdependencetoindependence AT gineevarist decouplingfromdependencetoindependence AT penavictorh randomlystoppedprocessesustatisticsandprocessesmartingalesandbeyond AT gineevarist randomlystoppedprocessesustatisticsandprocessesmartingalesandbeyond

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