The Laws Of Large Numbers PDF Download
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Author | : Pál Révész |
Publisher | : Academic Press |
Total Pages | : 177 |
Release | : 2014-06-20 |
Genre | : Mathematics |
ISBN | : 1483269027 |
Download The Laws of Large Numbers Book in PDF, ePub and Kindle
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 | : |
Total Pages | : 0 |
Release | : 1967 |
Genre | : Law of large numbers |
ISBN | : |
Download The Laws of Large Numbers Book in PDF, ePub and Kindle
Author | : Rick Durrett |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2010-08-30 |
Genre | : Mathematics |
ISBN | : 113949113X |
Download Probability Book in PDF, ePub and Kindle
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 | : Thomas S. Ferguson |
Publisher | : Routledge |
Total Pages | : 140 |
Release | : 2017-09-06 |
Genre | : Mathematics |
ISBN | : 1351470051 |
Download A Course in Large Sample Theory Book in PDF, ePub and Kindle
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 | : Pál Révész |
Publisher | : |
Total Pages | : 176 |
Release | : 1968 |
Genre | : |
ISBN | : |
Download The Laws of Large Numbers Book in PDF, ePub and Kindle
Author | : Roman Vershynin |
Publisher | : Cambridge University Press |
Total Pages | : 299 |
Release | : 2018-09-27 |
Genre | : Business & Economics |
ISBN | : 1108415199 |
Download High-Dimensional Probability Book in PDF, ePub and Kindle
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Author | : Michael Falk |
Publisher | : Birkhäuser |
Total Pages | : 381 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 3034877919 |
Download Laws of Small Numbers: Extremes and Rare Events Book in PDF, ePub and Kindle
Since the publication of the first edition of this seminar book, the theory and applications of extremes and rare events have seen increasing interest. Laws of Small Numbers gives a mathematically oriented development of the theory of rare events underlying various applications. The new edition incorporates numerous new results on about 130 additional pages. Part II, added in the second edition, discusses recent developments in multivariate extreme value theory.
Author | : David F. Anderson |
Publisher | : Cambridge University Press |
Total Pages | : 447 |
Release | : 2017-11-02 |
Genre | : Mathematics |
ISBN | : 110824498X |
Download Introduction to Probability Book in PDF, ePub and Kindle
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Author | : Richard Evan Schwartz |
Publisher | : American Mathematical Soc. |
Total Pages | : 194 |
Release | : 2014-06-30 |
Genre | : Juvenile Nonfiction |
ISBN | : 1470414252 |
Download Really Big Numbers Book in PDF, ePub and Kindle
In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.
Author | : Martin J. Wainwright |
Publisher | : Cambridge University Press |
Total Pages | : 571 |
Release | : 2019-02-21 |
Genre | : Business & Economics |
ISBN | : 1108498027 |
Download High-Dimensional Statistics Book in PDF, ePub and Kindle
A coherent introductory text from a groundbreaking researcher, focusing on clarity and motivation to build intuition and understanding.