The Law Of Large Numbers

Author : Pál Révész
Publisher : Academic Press
Page : 176 pages
File Size : 53,8 Mb
Release : 2014-06-20
Category : Mathematics
ISBN : 9781483269023

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The Laws of Large Numbers by Pál Révész Pdf

The Law of Large Numbers deals with three types of law of large numbers according to the following convergences: stochastic, mean, and convergence with probability 1. The book also investigates the rate of convergence and the laws of the iterated logarithm. It reviews measure theory, probability theory, stochastic processes, ergodic theory, orthogonal series, Huber spaces, Banach spaces, as well as the special concepts and general theorems of the laws of large numbers. The text discusses the laws of large numbers of different classes of stochastic processes, such as independent random variables, orthogonal random variables, stationary sequences, symmetrically dependent random variables and their generalizations, and also Markov chains. It presents other laws of large numbers for subsequences of sequences of random variables, including some general laws of large numbers which are not related to any concrete class of stochastic processes. The text cites applications of the theorems, as in numbers theory, statistics, and information theory. The text is suitable for mathematicians, economists, scientists, statisticians, or researchers involved with the probability and relative frequency of large numbers.

Author : Dr. Gary S. Goodman
Publisher : Gildan Media LLC aka G&D Media
Page : 85 pages
File Size : 40,5 Mb
Release : 2019-02-25
Category : Self-Help
ISBN : 9781722522926

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The Law of Large Numbers by Dr. Gary S. Goodman Pdf

Apply this incredible law to every area of your life. While the law of large numbers has been applied to fields such as math and science for several decades, its power has just recently begun to be applied to the fields of business and personal growth. Today, people from all walks of life are using the law of large numbers to achieve their highest objectives, with great confidence and complete peace of mind. Now, award-winning speaker and personal performance expert Dr. Gary Goodman has created a full-scale program showing you how to apply this incredible law to every area of your life. Gary shares with you the amazing power this simple philosophy has brought to his life and the hundreds of people he has consulted with. According to Gary, "If you stand second in line in enough lines, sooner or later, even by sheer luck, you are bound to reach the top in at least one, if not several of those lines, over time." Learn: • A new process of setting clear goals in every major area of your life • How to gain the ability to focus on positive outcomes in all situations. • The law of large numbers approach to being more successful in any sales position. • How to become an expert communicator by expanding your vocabulary with the law of large numbers. • A clear, concise action plan for how you can develop your own personal law of large numbers strategy and apply it to any area of your life. • A 31-day action plan to stay positive every day and stay on track with your law of large numbers campaign. • And much, much more!

Author : Denis Bosq
Publisher : John Wiley & Sons
Page : 218 pages
File Size : 51,5 Mb
Release : 2013-02-04
Category : Mathematics
ISBN : 9781118586273

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Mathematical Statistics and Stochastic Processes by Denis Bosq Pdf

Generally, books on mathematical statistics are restricted to the case of independent identically distributed random variables. In this book however, both this case AND the case of dependent variables, i.e. statistics for discrete and continuous time processes, are studied. This second case is very important for today’s practitioners. Mathematical Statistics and Stochastic Processes is based on decision theory and asymptotic statistics and contains up-to-date information on the relevant topics of theory of probability, estimation, confidence intervals, non-parametric statistics and robustness, second-order processes in discrete and continuous time and diffusion processes, statistics for discrete and continuous time processes, statistical prediction, and complements in probability. This book is aimed at students studying courses on probability with an emphasis on measure theory and for all practitioners who apply and use statistics and probability on a daily basis.

Author : Charles Miller Grinstead,James Laurie Snell
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 46,6 Mb
Release : 1997
Category : Mathematics
ISBN : 0821807498

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Introduction to Probability by Charles Miller Grinstead,James Laurie Snell Pdf

This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.

Author : Jakob Bernoulli
Publisher : Unknown
Page : 51 pages
File Size : 42,5 Mb
Release : 2005
Category : Law of large numbers
ISBN : 3938417145

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On the law of large numbers by Jakob Bernoulli Pdf

Author : Cyrus Derman
Publisher : Unknown
Page : 6 pages
File Size : 53,8 Mb
Release : 1956
Category : Law of large numbers
ISBN : UOM:39015095252246

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On the Weak Law of Large Numbers by Cyrus Derman Pdf

Author : Pál Révész
Publisher : Unknown
Page : 0 pages
File Size : 47,5 Mb
Release : 1967
Category : Law of large numbers
ISBN : LCCN:68004675

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The Laws of Large Numbers by Pál Révész Pdf

Author : Glenn Shafer,Vladimir Vovk
Publisher : John Wiley & Sons
Page : 480 pages
File Size : 55,8 Mb
Release : 2019-03-21
Category : Business & Economics
ISBN : 9781118547939

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Game-Theoretic Foundations for Probability and Finance by Glenn Shafer,Vladimir Vovk Pdf

Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University

Author : Alain Desrosières
Publisher : Harvard University Press
Page : 386 pages
File Size : 40,6 Mb
Release : 1998
Category : History
ISBN : 067400969X

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The Politics of Large Numbers by Alain Desrosières Pdf

Begins with study of history of statistics, and shows how the evolution of modern statistics has been inextricably bound up with the knowledge and power of governments.

Author : Tapas K. Chandra
Publisher : Narosa Publishing House
Page : 0 pages
File Size : 49,7 Mb
Release : 2012
Category : Law of large numbers
ISBN : 8173199221

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Laws of Large Numbers by Tapas K. Chandra Pdf

Presents the usual laws of large numbers together with recent ones derived in unified and elementary approaches. Most of these results are valid for dependent and possibly non-identical sequence of random variables. These are established under greater generalities with methods simpler than the standard ones available in current text-books.

Author : Peter Lynch
Publisher : Gill & Macmillan Ltd
Page : 328 pages
File Size : 48,8 Mb
Release : 2016-10-14
Category : Mathematics
ISBN : 9780717169566

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That's Maths by Peter Lynch Pdf

From atom bombs to rebounding slinkies, open your eyes to the mathematical magic in the everyday. Mathematics isn't just for academics and scientists, a fact meteorologist and blogger Peter Lynch has spent the past several years proving through his Irish Times newspaper column and blog, That's Maths.Here, he shows how maths is all around us, with chapters on the beautiful equations behind designing a good concert venue, predicting the stock market and modelling the atom bomb, as well as playful meditations on everything from coin-stacking to cartography. If you left school thinking maths was boring, think again!

Author : Pál Révész
Publisher : Unknown
Page : 176 pages
File Size : 46,7 Mb
Release : 1968
Category : Electronic
ISBN : OCLC:638780903

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The Laws of Large Numbers by Pál Révész Pdf

Author : Angelo Vulpiani,Fabio Cecconi,Massimo Cencini,Andrea Puglisi,Davide Vergni
Publisher : Springer
Page : 314 pages
File Size : 41,9 Mb
Release : 2014-05-16
Category : Science
ISBN : 9783642542510

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Large Deviations in Physics by Angelo Vulpiani,Fabio Cecconi,Massimo Cencini,Andrea Puglisi,Davide Vergni Pdf

This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing ergodicity and its breaking and the modern applications of Large deviations to equilibrium and non-equilibrium statistical physics, disordered and chaotic systems, and turbulence.

Author : Rick Durrett
Publisher : Cambridge University Press
Page : 128 pages
File Size : 51,6 Mb
Release : 2010-08-30
Category : Mathematics
ISBN : 9781139491136

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Probability by Rick Durrett Pdf

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Author : David J. Hand
Publisher : Scientific American / Farrar, Straus and Giroux
Page : 288 pages
File Size : 55,8 Mb
Release : 2014-02-11
Category : Mathematics
ISBN : 9780374711399

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The Improbability Principle by David J. Hand Pdf

In The Improbability Principle, the renowned statistician David J. Hand argues that extraordinarily rare events are anything but. In fact, they're commonplace. Not only that, we should all expect to experience a miracle roughly once every month. But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of "miracle" is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough. Together, these constitute Hand's groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective. An irresistible adventure into the laws behind "chance" moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it's in the world of business and finance or you're merely sitting in your backyard, tossing a ball into the air and wondering where it will land.