The Laws Of Large Numbers

Author : Pál Révész
Publisher : Academic Press
Page : 176 pages
File Size : 40,5 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 : Pál Révész
Publisher : Unknown
Page : 176 pages
File Size : 41,9 Mb
Release : 1968
Category : Electronic
ISBN : OCLC:638780903

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The Laws of Large Numbers by Pál Révész Pdf

Author : Pál Révész
Publisher : Unknown
Page : 0 pages
File Size : 42,9 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 : Denis Bosq
Publisher : John Wiley & Sons
Page : 218 pages
File Size : 43,8 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 : Tapas K. Chandra
Publisher : Narosa Publishing House
Page : 0 pages
File Size : 50,7 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 : Rick Durrett
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,9 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 : Luc Devroye,Bülent Karasözen,Michael Kohler,Ralf Korn
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 41,9 Mb
Release : 2010-05-19
Category : Mathematics
ISBN : 9783790825985

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Recent Developments in Applied Probability and Statistics by Luc Devroye,Bülent Karasözen,Michael Kohler,Ralf Korn Pdf

This book is devoted to Professor Jürgen Lehn, who passed away on September 29, 2008, at the age of 67. It contains invited papers that were presented at the Wo- shop on Recent Developments in Applied Probability and Statistics Dedicated to the Memory of Professor Jürgen Lehn, Middle East Technical University (METU), Ankara, April 23–24, 2009, which was jointly organized by the Technische Univ- sität Darmstadt (TUD) and METU. The papers present surveys on recent devel- ments in the area of applied probability and statistics. In addition, papers from the Panel Discussion: Impact of Mathematics in Science, Technology and Economics are included. Jürgen Lehn was born on the 28th of April, 1941 in Karlsruhe. From 1961 to 1968 he studied mathematics in Freiburg and Karlsruhe, and obtained a Diploma in Mathematics from the University of Karlsruhe in 1968. He obtained his Ph.D. at the University of Regensburg in 1972, and his Habilitation at the University of Karlsruhe in 1978. Later in 1978, he became a C3 level professor of Mathematical Statistics at the University of Marburg. In 1980 he was promoted to a C4 level professorship in mathematics at the TUD where he was a researcher until his death.

Author : Charles Miller Grinstead,James Laurie Snell
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 44,8 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 : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 51,8 Mb
Release : 2018-09-27
Category : Business & Economics
ISBN : 9781108415194

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High-Dimensional Probability by Roman Vershynin Pdf

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Author : Dr. Gary S. Goodman
Publisher : Gildan Media LLC aka G&D Media
Page : 85 pages
File Size : 53,7 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 : Thomas S. Ferguson
Publisher : Routledge
Page : 140 pages
File Size : 55,6 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9781351470056

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A Course in Large Sample Theory by Thomas S. Ferguson Pdf

A Course in Large Sample Theory is presented in four parts. The first treats basic probabilistic notions, the second features the basic statistical tools for expanding the theory, the third contains special topics as applications of the general theory, and the fourth covers more standard statistical topics. Nearly all topics are covered in their multivariate setting.The book is intended as a first year graduate course in large sample theory for statisticians. It has been used by graduate students in statistics, biostatistics, mathematics, and related fields. Throughout the book there are many examples and exercises with solutions. It is an ideal text for self study.

Author : Cyrus Derman
Publisher : Unknown
Page : 6 pages
File Size : 55,7 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 : David J. Hand
Publisher : Scientific American / Farrar, Straus and Giroux
Page : 288 pages
File Size : 41,8 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.

Author : W. J. Padgett,R. L. Taylor
Publisher : Springer
Page : 116 pages
File Size : 47,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540379041

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Laws of Large Numbers for Normed Linear Spaces and Certain Frechet Spaces by W. J. Padgett,R. L. Taylor Pdf

Author : Richard von Mises
Publisher : Academic Press
Page : 708 pages
File Size : 49,5 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483264028

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Mathematical Theory of Probability and Statistics by Richard von Mises Pdf

Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions. Discussions focus on Gaussian distribution, Poisson distribution, mean value variance and other moments, non-countable label space, basic assumptions, operations, and distribution function. The text then ponders on examples of combined operations and summation of chance variables characteristic function. The book takes a look at the asymptotic distribution of the sum of chance variables and probability inference. Topics include inference from a finite number of observations, law of large numbers, asymptotic distributions, limit distribution of the sum of independent discrete random variables, probability of the sum of rare events, and probability density. The text also focuses on the introduction to the theory of statistical functions and multivariate statistics. The publication is a dependable source of information for researchers interested in the mathematical theory of probability and statistics