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Author : Morris L. Eaton
Publisher :
ISBN 13 :
Total Pages : 197 pages
Book Rating : 4.:/5 (61 download)
Download or read book Lectures on Topics in Probability Inequalities written by Morris L. Eaton and published by . This book was released on 1987 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Morris L. Eaton
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.:/5 (44 download)
Download or read book Lectures on Topics in Probability Inequalities written by Morris L. Eaton and published by . This book was released on 1987 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Morris L. Eaton
Publisher :
ISBN 13 :
Total Pages : 197 pages
Book Rating : 4.:/5 (14 download)
Download or read book Lectures on Topic in Probability Inequalities written by Morris L. Eaton and published by . This book was released on 1987 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. F. Gundy
Publisher : American Mathematical Soc.
ISBN 13 : 0821807218
Total Pages : 57 pages
Book Rating : 4.8/5 (218 download)
Download or read book Some Topics in Probability and Analysis written by R. F. Gundy and published by American Mathematical Soc.. This book was released on 1989 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures presented by the author at DePaul University in July 1986. The lectures cover three main topics. The first is local time theory for Brownian motion and some geometrical inequalities for harmonic functions in the upper half-plane $R^{n+1}_+$. The author sketches a proof of the inequalities obtained by Barlow and Yor for the maximal local time functional. The second topic concerns a probabilistic treatment of Riesz transforms in $R^{n+1}_+$, and semimartingale inequalities. The author proves semimartingale inequalities of the type usually obtained for martingales. The final topic centers on a discussion of the Ornstein-Uhlenbeck semigroup and P. A. Meyer's extension of the Riesz inequalities for the infinite-dimensional version of this semigroup. One of the major results of the book is the establishment of inequalities for the density of the area integral.
Author : Roman Vershynin
Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)
Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Author : Yung Liang Tong
Publisher : IMS
ISBN 13 : 9780940600041
Total Pages : 270 pages
Book Rating : 4.6/5 ( download)
Download or read book Inequalities in Statistics and Probability written by Yung Liang Tong and published by IMS. This book was released on 1984 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marco Taboga
Publisher :
ISBN 13 : 9781480215238
Total Pages : 656 pages
Book Rating : 4.2/5 (152 download)
Download or read book Lectures on Probability Theory and Mathematical Statistics - 2nd Edition written by Marco Taboga and published by . This book was released on 2012-12-08 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lectures on probability theory and mathematical statistics. It provides an accessible introduction to topics that are not usually found in elementary textbooks. It collects results and proofs, especially on probability distributions, that are hard to find in standard references and are scattered here and there in more specialistic books.The main topics covered by the book are as follows.PART 1 - MATHEMATICAL TOOLS: set theory, permutations, combinations, partitions, sequences and limits, review of differentiation and integration rules, the Gamma and Beta functions.PART 2 - FUNDAMENTALS OF PROBABILITY: events, probability, independence, conditional probability, Bayes' rule, random variables and random vectors, expected value, variance, covariance, correlation, covariance matrix, conditional distributions and conditional expectation, independent variables, indicator functions.PART 3 - ADDITIONAL TOPICS IN PROBABILITY THEORY: probabilistic inequalities, construction of probability distributions, transformations of probability distributions, moments and cross-moments, moment generating functions, characteristic functions.PART 4 - PROBABILITY DISTRIBUTIONS: Bernoulli, binomial, Poisson, uniform, exponential, normal, Chi-square, Gamma, Student's t, F, multinomial, multivariate normal, multivariate Student's t, Wishart.PART 5 - MORE DETAILS ABOUT THE NORMAL DISTRIBUTION: linear combinations, quadratic forms, partitions.PART 6 - ASYMPTOTIC THEORY: sequences of random vectors and random variables, pointwise convergence, almost sure convergence, convergence in probability, mean-square convergence, convergence in distribution, relations between modes of convergence, Laws of Large Numbers, Central Limit Theorems, Continuous Mapping Theorem, Slutski's Theorem.PART 7 - FUNDAMENTALS OF STATISTICS: statistical inference, point estimation, set estimation, hypothesis testing, statistical inferences about the mean, statistical inferences about the variance.
Author : Joel Spencer
Publisher : SIAM
ISBN 13 : 9781611970074
Total Pages : 98 pages
Book Rating : 4.9/5 (7 download)
Download or read book Ten Lectures on the Probabilistic Method written by Joel Spencer and published by SIAM. This book was released on 1994-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties.
Author : Zhengyan Lin
Publisher : Springer Science & Business Media
ISBN 13 : 3642052614
Total Pages : 192 pages
Book Rating : 4.6/5 (42 download)
Download or read book Probability Inequalities written by Zhengyan Lin and published by Springer Science & Business Media. This book was released on 2011-05-30 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequality has become an essential tool in many areas of mathematical research, for example in probability and statistics where it is frequently used in the proofs. "Probability Inequalities" covers inequalities related with events, distribution functions, characteristic functions, moments and random variables (elements) and their sum. The book shall serve as a useful tool and reference for scientists in the areas of probability and statistics, and applied mathematics. Prof. Zhengyan Lin is a fellow of the Institute of Mathematical Statistics and currently a professor at Zhejiang University, Hangzhou, China. He is the prize winner of National Natural Science Award of China in 1997. Prof. Zhidong Bai is a fellow of TWAS and the Institute of Mathematical Statistics; he is a professor at the National University of Singapore and Northeast Normal University, Changchun, China.
Author : Marco Taboga
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781981369195
Total Pages : 670 pages
Book Rating : 4.3/5 (691 download)
Download or read book Lectures on Probability Theory and Mathematical Statistics - 3rd Edition written by Marco Taboga and published by Createspace Independent Publishing Platform. This book was released on 2017-12-08 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of 80 short and self-contained lectures covering most of the topics that are usually taught in intermediate courses in probability theory and mathematical statistics. There are hundreds of examples, solved exercises and detailed derivations of important results. The step-by-step approach makes the book easy to understand and ideal for self-study. One of the main aims of the book is to be a time saver: it contains several results and proofs, especially on probability distributions, that are hard to find in standard references and are scattered here and there in more specialistic books. The topics covered by the book are as follows. PART 1 - MATHEMATICAL TOOLS: set theory, permutations, combinations, partitions, sequences and limits, review of differentiation and integration rules, the Gamma and Beta functions. PART 2 - FUNDAMENTALS OF PROBABILITY: events, probability, independence, conditional probability, Bayes' rule, random variables and random vectors, expected value, variance, covariance, correlation, covariance matrix, conditional distributions and conditional expectation, independent variables, indicator functions. PART 3 - ADDITIONAL TOPICS IN PROBABILITY THEORY: probabilistic inequalities, construction of probability distributions, transformations of probability distributions, moments and cross-moments, moment generating functions, characteristic functions. PART 4 - PROBABILITY DISTRIBUTIONS: Bernoulli, binomial, Poisson, uniform, exponential, normal, Chi-square, Gamma, Student's t, F, multinomial, multivariate normal, multivariate Student's t, Wishart. PART 5 - MORE DETAILS ABOUT THE NORMAL DISTRIBUTION: linear combinations, quadratic forms, partitions. PART 6 - ASYMPTOTIC THEORY: sequences of random vectors and random variables, pointwise convergence, almost sure convergence, convergence in probability, mean-square convergence, convergence in distribution, relations between modes of convergence, Laws of Large Numbers, Central Limit Theorems, Continuous Mapping Theorem, Slutsky's Theorem. PART 7 - FUNDAMENTALS OF STATISTICS: statistical inference, point estimation, set estimation, hypothesis testing, statistical inferences about the mean, statistical inferences about the variance.
Author : Moshe Shaked
Publisher : IMS
ISBN 13 : 9780940600294
Total Pages : 434 pages
Book Rating : 4.6/5 (2 download)
Download or read book Stochastic Inequalities written by Moshe Shaked and published by IMS. This book was released on 1992 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ioannis Karatzas
Publisher : Springer Science & Business Media
ISBN 13 : 1461220300
Total Pages : 391 pages
Book Rating : 4.4/5 (612 download)
Download or read book Stochastic Processes and Related Topics written by Ioannis Karatzas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last twenty years extensive research has been devoted to a better understanding of the stable and other closely related infinitely divisible mod els. Stamatis Cambanis, a distinguished educator and researcher, played a special leadership role in the development of these research efforts, particu larly related to stable processes from the early seventies until his untimely death in April '95. This commemorative volume consists of a collection of research articles devoted to reviewing the state of the art of this and other rapidly developing research and to explore new directions of research in these fields. The volume is a tribute to the Life and Work of Stamatis by his students, friends, and colleagues whose personal and professional lives he has deeply touched through his generous insights and dedication to his profession. Before the idea of this volume was conceived, two conferences were held in the memory of Stamatis. The first was organized by the University of Athens and the Athens University of Economics and was held in Athens during December 18-19, 1995. The second was a significant part of a Spe cial IMS meeting held at the campus of the University of North Carolina at Chapel Hill during October 17-19, 1996. It is the selfless effort of sev eral people that brought about these conferences. We believe that this is an appropriate place to acknowledge their effort; and on behalf of all the participants, we extend sincere thanks to all these persons.
Author : Elton P. Hsu
Publisher : American Mathematical Soc.
ISBN 13 : 0821805908
Total Pages : 386 pages
Book Rating : 4.8/5 (218 download)
Download or read book Probability Theory and Applications written by Elton P. Hsu and published by American Mathematical Soc.. This book was released on 1999 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, with contributions by leading experts in the field, is a collection of lecture notes of the six minicourses given at the IAS/Park City Summer Mathematics Institute. It introduces advanced graduates and researchers in probability theory to several of the currently active research areas in the field. Each course is self-contained with references and contains basic materials and recent results. Topics include interacting particle systems, percolation theory, analysis on path and loop spaces, and mathematical finance. The volume gives a balanced overview of the current status of probability theory. An extensive bibliography for further study and research is included. This unique collection presents several important areas of current research and a valuable survey reflecting the diversity of the field.
Author : Tapas K. Chandra
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652084
Total Pages : 520 pages
Book Rating : 4.6/5 (52 download)
Download or read book A First Course in Probability written by Tapas K. Chandra and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The third edition earmarks the great success of this text among the students as well as the teachers. To enhance its utility one additional appendix on "The Theory of Errors" has been incorporated along with necessary modifications and corrections in the text. The treatment, as before, is rigorous yet impressively elegant and simple. The special feature of this text is its effort to resolve many outstanding confusions of probability and statistics. This will undoubtedly continue to be a valuable companion for all those pursuing a career in Statistics."--BOOK JACKET.
Author : Mark Huber, PH D
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.6/5 (745 download)
Download or read book Probability written by Mark Huber, PH D and published by . This book was released on 2020-08-11 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an undergraduate textbook in probability aimed at math majors or for those intending to take courses such as mathematical statistics or stochastic processes. The book contains the content of a typical one-semester course for students with familiarity with calculus and linear algebra. The book also contains eight laboratory experiments using R. These can be used in class in place of lectures, or as supplemental activities for students.Topics include: basic probability definitions, conditional probability, Bayes' rule, the common distributions, densities, expectation, conditional expectation, joint densities, Bernoulli and Poisson point processes, covariance and correlation, counting measure, Lebesgue measure, Markov and Chebyshev tail inequalities, the Strong Law of Large Numbers, and the ever popular Central Limit Theorem.
Author : Albert W. Marshall
Publisher : Springer Science & Business Media
ISBN 13 : 0387682767
Total Pages : 919 pages
Book Rating : 4.3/5 (876 download)
Download or read book Inequalities: Theory of Majorization and Its Applications written by Albert W. Marshall and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.
Author : Neil S. Barnett
Publisher : Nova Publishers
ISBN 13 : 9781600219436
Total Pages : 244 pages
Book Rating : 4.2/5 (194 download)
Download or read book Advances in Inequalities from Probability Theory and Statistics written by Neil S. Barnett and published by Nova Publishers. This book was released on 2008 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first in a series of research monographs that focus on the research, development and use of inequalities in probability and statistics. All of the papers have been peer refereed and this first edition covers a range of topics that include both survey material of published work as well as new results appearing in print for the first time.
