Strong Limit Theorems in Non-Commutative Probability

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Publisher : Springer
ISBN 13 : 3540391398
Total Pages : 159 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Strong Limit Theorems in Non-Commutative Probability by : R. Jajte

Download or read book Strong Limit Theorems in Non-Commutative Probability written by R. Jajte and published by Springer. This book was released on 2007-01-05 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arbeitstagung Bonn, 1984

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Publisher :
ISBN 13 : 9780387139159
Total Pages : 152 pages
Book Rating : 4.1/5 (391 download)

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Book Synopsis Arbeitstagung Bonn, 1984 by : Ryszard Jajte

Download or read book Arbeitstagung Bonn, 1984 written by Ryszard Jajte and published by . This book was released on 1985 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Strong Limit Theorems in Noncommutative L2-Spaces

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Publisher : Springer
ISBN 13 : 3540475125
Total Pages : 122 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Strong Limit Theorems in Noncommutative L2-Spaces by : Ryszard Jajte

Download or read book Strong Limit Theorems in Noncommutative L2-Spaces written by Ryszard Jajte and published by Springer. This book was released on 2006-12-08 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc. The proofs introduce new techniques in von Neumann algebras. The reader is assumed to master the fundamentals of functional analysis and probability. The book is written mainly for mathematicians and physicists familiar with probability theory and interested in applications of operator algebras to quantum statistical mechanics.

Strong Limit Theorems

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Publisher : Springer Science & Business Media
ISBN 13 : 9401730970
Total Pages : 204 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Strong Limit Theorems by : Lin Zhengyan

Download or read book Strong Limit Theorems written by Lin Zhengyan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an up-to-date review of the most significant developments in strong Approximation and strong convergence in probability theory. The book consists of three chapters. The first deals with Wiener and Gaussian processes. Chapter 2 is devoted to the increments of partial sums of independent random variables. Chapter 3 concentrates on the strong laws of processes generated by infinite-dimensional Ornstein-Uhlenbeck processes. For researchers whose work involves probability theory and statistics.

Universal Theory for Strong Limit Theorems of Probability

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Publisher : World Scientific Publishing Company
ISBN 13 : 9789811212826
Total Pages : 0 pages
Book Rating : 4.2/5 (128 download)

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Book Synopsis Universal Theory for Strong Limit Theorems of Probability by : Andrei N. Frolov

Download or read book Universal Theory for Strong Limit Theorems of Probability written by Andrei N. Frolov and published by World Scientific Publishing Company. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong laws and large deviations -- Large deviations for sums of independent random variables -- Strong limit theorems for sums of independent random variables -- Strong limit theorems for processes with independent increments -- Strong limit theorems for renewal processes -- Increments of sums of independent random variables over head runs and monotone blocks.

Limit Theorems For Associated Random Fields And Related Systems

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Publisher : World Scientific
ISBN 13 : 9814474576
Total Pages : 447 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Limit Theorems For Associated Random Fields And Related Systems by : Alexander Bulinski

Download or read book Limit Theorems For Associated Random Fields And Related Systems written by Alexander Bulinski and published by World Scientific. This book was released on 2007-09-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications.There are 434 items in the bibliography.The book is self-contained, provides detailed proofs, for reader's convenience some auxiliary results are included in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).

Noncommutative Probability

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Publisher : Springer Science & Business Media
ISBN 13 : 9401583749
Total Pages : 367 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Noncommutative Probability by : I. Cuculescu

Download or read book Noncommutative Probability written by I. Cuculescu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to explain to a mathematician having no previous knowledge in this domain, what "noncommutative probability" is. So the first decision was not to concentrate on a special topic. For different people, the starting points of such a domain may be different. In what concerns this question, different variants are not discussed. One such variant comes from Quantum Physics. The motivations in this book are mainly mathematical; more precisely, they correspond to the desire of developing a probability theory in a new set-up and obtaining results analogous to the classical ones for the newly defined mathematical objects. Also different mathematical foundations of this domain were proposed. This book concentrates on one variant, which may be described as "von Neumann algebras". This is true also for the last chapter, if one looks at its ultimate aim. In the references there are some papers corresponding to other variants; we mention Gudder, S.P. &al (1978). Segal, I.E. (1965) also discusses "basic ideas".

Stable Convergence and Stable Limit Theorems

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Publisher : Springer
ISBN 13 : 331918329X
Total Pages : 231 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Stable Convergence and Stable Limit Theorems by : Erich Häusler

Download or read book Stable Convergence and Stable Limit Theorems written by Erich Häusler and published by Springer. This book was released on 2015-06-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept. Stable convergence holds in many limit theorems of probability theory and statistics – such as the classical central limit theorem – which are usually formulated in terms of convergence in distribution. Originated by Alfred Rényi, the notion of stable convergence is stronger than the classical weak convergence of probability measures. A variety of methods is described which can be used to establish this stronger stable convergence in many limit theorems which were originally formulated only in terms of weak convergence. Naturally, these stronger limit theorems have new and stronger consequences which should not be missed by neglecting the notion of stable convergence. The presentation will be accessible to researchers and advanced students at the master's level with a solid knowledge of measure theoretic probability.

Limit Theorems of Probability Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662041723
Total Pages : 280 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Limit Theorems of Probability Theory by : Yu.V. Prokhorov

Download or read book Limit Theorems of Probability Theory written by Yu.V. Prokhorov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.

Limit Theorems in Probability and Statistics

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Publisher : Elsevier Science & Technology
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Limit Theorems in Probability and Statistics by : Pál Révész

Download or read book Limit Theorems in Probability and Statistics written by Pál Révész and published by Elsevier Science & Technology. This book was released on 1984 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Summation in Commutative and Noncommutative Lp-Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3642204376
Total Pages : 178 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Classical Summation in Commutative and Noncommutative Lp-Spaces by : Andreas Defant

Download or read book Classical Summation in Commutative and Noncommutative Lp-Spaces written by Andreas Defant and published by Springer Science & Business Media. This book was released on 2011-06-22 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).

Nonconventional Limit Theorems And Random Dynamics

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Publisher : World Scientific
ISBN 13 : 9813235020
Total Pages : 299 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Nonconventional Limit Theorems And Random Dynamics by : Yeor Hafouta

Download or read book Nonconventional Limit Theorems And Random Dynamics written by Yeor Hafouta and published by World Scientific. This book was released on 2018-04-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to limit theorems for nonconventional sums and arrays. Asymptotic behavior of such sums were first studied in ergodic theory but recently it turned out that main limit theorems of probability theory, such as central, local and Poisson limit theorems can also be obtained for such expressions. In order to obtain sufficiently general local limit theorem, we develop also thermodynamic formalism type results for random complex operators, which is one of the novelties of the book.

Strong Limit Theorems in Noncommutattive Probability

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Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (927 download)

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Book Synopsis Strong Limit Theorems in Noncommutattive Probability by :

Download or read book Strong Limit Theorems in Noncommutattive Probability written by and published by . This book was released on 1985 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Refined Large Deviation Limit Theorems

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Publisher : CRC Press
ISBN 13 : 9780582254992
Total Pages : 228 pages
Book Rating : 4.2/5 (549 download)

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Book Synopsis Refined Large Deviation Limit Theorems by : Vladimir Vinogradov

Download or read book Refined Large Deviation Limit Theorems written by Vladimir Vinogradov and published by CRC Press. This book was released on 1994-11-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramér's condition on the finiteness of exponential moments may not be satisfied

Limit Theorems for Multi-Indexed Sums of Random Variables

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Publisher : Springer
ISBN 13 : 3662443880
Total Pages : 495 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Limit Theorems for Multi-Indexed Sums of Random Variables by : Oleg Klesov

Download or read book Limit Theorems for Multi-Indexed Sums of Random Variables written by Oleg Klesov and published by Springer. This book was released on 2014-10-13 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. In particular, new proofs of the strong law of large numbers and the Hajek-Renyi inequality are detailed. Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes. Limit theorems form the backbone of probability theory and statistical theory alike. The theory of multiple sums of random variables is a direct generalization of the classical study of limit theorems, whose importance and wide application in science is unquestionable. However, to date, the subject of multiple sums has only been treated in journals. The results described in this book will be of interest to advanced undergraduates, graduate students and researchers who work on limit theorems in probability theory, the statistical analysis of random fields, as well as in the field of random sets or stochastic geometry. The central topic is also important for statistical theory, developing statistical inferences for random fields, and also has applications to the sciences, including physics and chemistry.

Quantum Probability And Related Topics: Qp-pq (Volume Ix)

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Publisher : World Scientific
ISBN 13 : 9814501301
Total Pages : 427 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Quantum Probability And Related Topics: Qp-pq (Volume Ix) by : Luigi Accardi

Download or read book Quantum Probability And Related Topics: Qp-pq (Volume Ix) written by Luigi Accardi and published by World Scientific. This book was released on 1994-12-16 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.

Advances in Probability Theory

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Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Advances in Probability Theory by : Aleksandr Alekseevich Borovkov

Download or read book Advances in Probability Theory written by Aleksandr Alekseevich Borovkov and published by . This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: