Limit Theorems For Large Deviations
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Limit Theorems For Large Deviations
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Author : L. Saulis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Limit Theorems For Large Deviations written by L. Saulis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
"Et moi ... - si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O.H ea viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service. topology has rendered mathematical physics .. .':: 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d 'e1:re of this series
Refined Large Deviation Limit Theorems
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Author : Vladimir Vinogradov
language : en
Publisher: CRC Press
Release Date : 2023-06-14
Refined Large Deviation Limit Theorems written by Vladimir Vinogradov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-14 with Mathematics categories.
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 On Large Deviations For Markov Stochastic Processes
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Author : A.D. Wentzell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Limit Theorems On Large Deviations For Markov Stochastic Processes written by A.D. Wentzell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In recent decades a new branch of probability theory has been developing intensively, namely, limit theorems for stochastic processes. As compared to classical limit theorems for sums of independent random variables, the generalizations are going here in two directions simultaneously. First, instead of sums of independent variables one considers stochastic processes belonging to certain broad classes. Secondly, instead of the distribution of a single sum - the distribution of the value of a stochastic process at one (time) point - or the joint distribution of the values of a process at a finite number of points, one considers distributions in an infinite-dimensional function space. For stochastic processes constructed, starting from sums of independent random variables, this is the same as considering the joint distribution of an unboundedly increasing number of sums.
Limit Theorems Of Probability Theory
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Author : Yu.V. Prokhorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Limit Theorems Of Probability Theory written by Yu.V. Prokhorov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
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.
Universal Theory For Strong Limit Theorems Of Probability
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Author : Andrei N Frolov
language : en
Publisher: World Scientific
Release Date : 2019-10-10
Universal Theory For Strong Limit Theorems Of Probability written by Andrei N Frolov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-10 with Mathematics categories.
This is the first book which the universal approach to strong laws of probability is discussed in. The universal theories are described for three important objects of probability theory: sums of independent random variables, processes with independent increments and renewal processes. Further generalizations are mentioned. Besides strong laws, large deviations are of independent interest. The case of infinite variations is considered as well. Readers can examine appropriate techniques and methods. Optimality of conditions is discussed.
Advances In Probability Theory
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Author : Aleksandr Alekseevich Borovkov
language : en
Publisher:
Release Date : 1984
Advances In Probability Theory written by Aleksandr Alekseevich Borovkov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Limit theorems (Probability theory). categories.
Some Limit Theorems In Statistics
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Author : R. R. Bahadur
language : en
Publisher: SIAM
Release Date : 1971-01-01
Some Limit Theorems In Statistics written by R. R. Bahadur and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.
A discussion of some topics in the theory of large deviations such as moment-generating functions and Chernoff's theorem, and of aspects of estimation and testing in large samples, such as exact slopes of test statistics.
Mod Convergence
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Author : Valentin Féray
language : en
Publisher: Springer
Release Date : 2016-12-06
Mod Convergence written by Valentin Féray and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-06 with Mathematics categories.
The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-φ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples.
Large Deviations At Saint Flour
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Author : Robert Azencott
language : en
Publisher: Springer
Release Date : 2011-12-30
Large Deviations At Saint Flour written by Robert Azencott and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-30 with Mathematics categories.
Contents: Azencott, R. : Large deviations and applications.- Freidlin, Mark I. Semi-linear PDE's and limit theorems for large deviations- Varadhan, Srinivasa R.S.: Large deviations and applications.
Limit Theorems Of Probability Theory
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Author : Alexander Tikhomirov
language : en
Publisher: Mdpi AG
Release Date : 2023-11-06
Limit Theorems Of Probability Theory written by Alexander Tikhomirov and has been published by Mdpi AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-06 with categories.
The present reprint contains all of the articles accepted and published in the Special Issue titled "Limit Theorems of Probability Theory". The papers included in this Special Issue present new directions and advances for limit theorems in probability theory and its applications. The list of topics is extensive, and it includes classical models of sums of both independent and various types of dependent random variables; probabilities of large deviations; functional limit theorems and limit theorems for random processes, in high-dimensional spaces, for spectra of random matrices, and for random graphs, etc. We strongly believe that the selected topics and results will be attractive to and useful for the international scientific community, as well as contribute to further research into the subject of limit theorems in probability theory.