Inequalities and Extremal Problems in Probability and Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Inequalities and Extremal Problems in Probability and Statistics write by Iosif Pinelis. This book was released on 2017-05-10. Inequalities and Extremal Problems in Probability and Statistics available in PDF, EPUB and Kindle. Inequalities and Extremal Problems in Probability and Statistics: Selected Topics presents various kinds of useful inequalities that are applicable in many areas of mathematics, the sciences, and engineering. The book enables the reader to grasp the importance of inequalities and how they relate to probability and statistics. This will be an extremely useful book for researchers and graduate students in probability, statistics, and econometrics, as well as specialists working across sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks. - Teaches users how to understand useful inequalities - Applicable across mathematics, sciences, and engineering - Presented by a team of leading experts
The Collected Works of Wassily Hoeffding
The Collected Works of Wassily Hoeffding - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Collected Works of Wassily Hoeffding write by Wassily Hoeffding. This book was released on 2012-12-06. The Collected Works of Wassily Hoeffding available in PDF, EPUB and Kindle. It has been a rare privilege to assemble this volume of Wassily Hoeffding's Collected Works. Wassily was, variously, a teacher, supervisor and colleague to us, and his work has had a profound influence on our own. Yet this would not be sufficient reason to publish his collected works. The additional and overwhelmingly compelling justification comes from the fun damental nature of his contributions to Statistics and Probability. Not only were his ideas original, and far-reaching in their implications; Wassily de veloped them so completely and elegantly in his papers that they are still cited as prime references up to half a century later. However, three of his earliest papers are cited rarely, if ever. These include material from his doctoral dissertation. They were written in German, and two of them were published in relatively obscure series. Rather than reprint the original articles, we have chosen to have them translated into English. These trans lations appear in this book, making Wassily's earliest research available to a wide audience for the first time. All other articles (including those of his contributions to Mathematical Reviews which go beyond a simple reporting of contents of articles) have been reproduced as they appeared, together with annotations and corrections made by Wassily on some private copies of his papers. Preceding these articles are three review papers which dis cuss the . impact of his work in some of the areas where he made major contributions.
High Dimensional Probability II
High Dimensional Probability II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook High Dimensional Probability II write by Evarist Giné. This book was released on 2012-12-06. High Dimensional Probability II available in PDF, EPUB and Kindle. High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.
High-Dimensional Probability
High-Dimensional Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook High-Dimensional Probability write by Roman Vershynin. This book was released on 2018-09-27. High-Dimensional Probability available in PDF, EPUB and Kindle. An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
High Dimensional Probability
High Dimensional Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook High Dimensional Probability write by Ernst Eberlein. This book was released on 2012-12-06. High Dimensional Probability available in PDF, EPUB and Kindle. What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings.
