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Limit Theorems For Large Deviations
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Book Synopsis Limit Theorems for Large Deviations by : L. Saulis
Download or read book Limit Theorems for Large Deviations written by L. Saulis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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
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 2023-06-14 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
Book Synopsis Petrov's Local Limit Theorems for Large Deviations by : H. A. Cheong
Download or read book Petrov's Local Limit Theorems for Large Deviations written by H. A. Cheong and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Limit Theorems on Large Deviations for Markov Stochastic Processes by : A.D. Wentzell
Download or read book Limit Theorems on Large Deviations for Markov Stochastic Processes written by A.D. Wentzell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 2023-06-14 with total page 226 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
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.
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. This book was released on 2019-10-10 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Large and Moderate Deviation Limit Theorems for Arbitrary Sequences of Random Variables with Applications by :
Download or read book Large and Moderate Deviation Limit Theorems for Arbitrary Sequences of Random Variables with Applications written by and published by . This book was released on 1991 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research project we have obtained several limit theorems for arbitrary and dependent sequences of random variables. The limit theorems considered in this project fall into three categories namely, Large deviation local limit theorems, Strong large deviation theorems and Strong moderate deviation theorems. These three categories are dependent in the sense they all are subcategories of large deviation theory. The theory of large deviations and its many users are well described in the book by Ellis (1985) and the monograph by Varadhan (1984). This work generalized several classical limit theorems that were obtained in the literature for independent and identically distributed random variables. In the next three sections we outline briefly the technical details of the work done under this contract.
Book Synopsis Central Limit Theorems in the Regions of Large Deviations with Applications to Statistical Mechanics by : Jong-Woo Jeon
Download or read book Central Limit Theorems in the Regions of Large Deviations with Applications to Statistical Mechanics written by Jong-Woo Jeon and published by . This book was released on 1979 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 1984 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Limit Theorems in Statistics by : R. R. Bahadur
Download or read book Some Limit Theorems in Statistics written by R. R. Bahadur and published by SIAM. This book was released on 1971-01-01 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Large Deviation Local Limit Theorems for Random Vectors by : Narasinga R. Chaganty
Download or read book Large Deviation Local Limit Theorems for Random Vectors written by Narasinga R. Chaganty and published by . This book was released on 1986 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents a survey of large deviation local limit theorems for random vectors. The authors then establish a more extensive large deviation local limit theorem that requires somewhat weaker conditions even in the special cases proved earlier. (Author).
Book Synopsis Large Deviation Local Limit Theorems, with Applications by : Narasinga Rao Chaganty
Download or read book Large Deviation Local Limit Theorems, with Applications written by Narasinga Rao Chaganty and published by . This book was released on 1982 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Heads or Tails by : Emmanuel Lesigne
Download or read book Heads or Tails written by Emmanuel Lesigne and published by American Mathematical Soc.. This book was released on 2005 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everyone knows some of the basics of probability, perhaps enough to play cards. Beyond the introductory ideas, there are many wonderful results that are unfamiliar to the layman, but which are well within our grasp to understand and appreciate. Some of the most remarkable results in probability are those that are related to limit theorems--statements about what happens when the trial is repeated many times. The most famous of these is the Law of Large Numbers, which mathematicians,engineers, economists, and many others use every day. In this book, Lesigne has made these limit theorems accessible by stating everything in terms of a game of tossing of a coin: heads or tails. In this way, the analysis becomes much clearer, helping establish the reader's intuition aboutprobability. Moreover, very little generality is lost, as many situations can be modelled from combinations of coin tosses. This book is suitable for anyone who would like to learn more about mathematical probability and has had a one-year undergraduate course in analysis.
Book Synopsis Multidimensional Strong Large Deviation Theorems by :
Download or read book Multidimensional Strong Large Deviation Theorems written by and published by . This book was released on 1992 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: We obtain a strong large deviation result for arbitrary sequence of random vectors under simple and verifiable conditions on the moment generating functions. The key to this result is a local limit theorem for arbitrary sequences of random vectors which is also provided in this paper. The local limit theorem gives conditions on the characteristic functions of random vectors for their pseudo-density function to converge uniformly on bounded sets. We apply these results to the multivariate F-distribution. Large Deviations, Limit Theorems.
Book Synopsis Large Deviations from the Almost Everywhere Central Limit Theorem by : Peter March
Download or read book Large Deviations from the Almost Everywhere Central Limit Theorem written by Peter March and published by . This book was released on 1995 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Limit Theorems Related to Large Deviations and to the Law of the Iterated Logarithm by : Marek Slaby
Download or read book Some Limit Theorems Related to Large Deviations and to the Law of the Iterated Logarithm written by Marek Slaby and published by . This book was released on 1987 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
