Probability, Combinatorics and Control - 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 Probability, Combinatorics and Control write by Andrey Kostogryzov. This book was released on 2020-04-15. Probability, Combinatorics and Control available in PDF, EPUB and Kindle. Probabilistic and combinatorial techniques are often used for solving advanced problems. This book describes different probabilistic modeling methods and their applications in various areas, such as artificial intelligence, offshore platforms, social networks, and others. It aims to educate how modern probabilistic and combinatorial models may be created to formalize uncertainties; to train how new probabilistic models can be generated for the systems of complex structures; to describe the correct use of the presented models for rational control in systems creation and operation; and to demonstrate analytical possibilities and practical effects for solving different system problems on each life cycle stage.
Problems in Probability
Problems in 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 Problems in Probability write by Albert N. Shiryaev. This book was released on 2012-08-07. Problems in Probability available in PDF, EPUB and Kindle. For the first two editions of the book Probability (GTM 95), each chapter included a comprehensive and diverse set of relevant exercises. While the work on the third edition was still in progress, it was decided that it would be more appropriate to publish a separate book that would comprise all of the exercises from previous editions, in addition to many new exercises. Most of the material in this book consists of exercises created by Shiryaev, collected and compiled over the course of many years while working on many interesting topics. Many of the exercises resulted from discussions that took place during special seminars for graduate and undergraduate students. Many of the exercises included in the book contain helpful hints and other relevant information. Lastly, the author has included an appendix at the end of the book that contains a summary of the main results, notation and terminology from Probability Theory that are used throughout the present book. This Appendix also contains additional material from Combinatorics, Potential Theory and Markov Chains, which is not covered in the book, but is nevertheless needed for many of the exercises included here.
Lectures on the Combinatorics of Free Probability
Lectures on the Combinatorics of Free 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 Lectures on the Combinatorics of Free Probability write by Alexandru Nica. This book was released on 2006-09-07. Lectures on the Combinatorics of Free Probability available in PDF, EPUB and Kindle. This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
Combinatorics and Probability
Combinatorics and 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 Combinatorics and Probability write by Graham Brightwell. This book was released on 2007-03-08. Combinatorics and Probability available in PDF, EPUB and Kindle. This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.
Probability Theory and Combinatorial Optimization
Probability Theory and Combinatorial Optimization - 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 Probability Theory and Combinatorial Optimization write by J. Michael Steele. This book was released on 1997-01-01. Probability Theory and Combinatorial Optimization available in PDF, EPUB and Kindle. This monograph provides an introduction to the state of the art of the probability theory that is most directly applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings. Still, there are several nongeometric optimization problems that receive full treatment, and these include the problems of the longest common subsequence and the longest increasing subsequence. The philosophy that guides the exposition is that analysis of concrete problems is the most effective way to explain even the most general methods or abstract principles. There are three fundamental probabilistic themes that are examined through our concrete investigations. First, there is a systematic exploitation of martingales. The second theme that is explored is the systematic use of subadditivity of several flavors, ranging from the naïve subadditivity of real sequences to the subtler subadditivity of stochastic processes. The third and deepest theme developed here concerns the application of Talagrand's isoperimetric theory of concentration inequalities.
