Theory Of Probability And Statistics As Exemplified In Short Dictums

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A History of the Central Limit Theorem

Author : Hans Fischer
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 55,8 Mb
Release : 2010-10-08
Category : Mathematics
ISBN : 9780387878577

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A History of the Central Limit Theorem by Hans Fischer Pdf

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.

Some Theory of Sampling

Author : William Edwards Deming
Publisher : Courier Corporation
Page : 644 pages
File Size : 55,6 Mb
Release : 1966-01-01
Category : Mathematics
ISBN : 048664684X

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Some Theory of Sampling by William Edwards Deming Pdf

An analysis of the problems, theory, and design of sampling techniques; assumes only college-level algebra. "The 'bible' of sampling statisticians." ? American Statistical Association Journal. 1950 edition.

Probability Theory and Statistical Inference

Author : Aris Spanos
Publisher : Cambridge University Press
Page : 787 pages
File Size : 42,7 Mb
Release : 2019-09-19
Category : Business & Economics
ISBN : 9781107185142

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Probability Theory and Statistical Inference by Aris Spanos Pdf

This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.

A History of Probability and Statistics and Their Applications before 1750

Author : Anders Hald
Publisher : John Wiley & Sons
Page : 611 pages
File Size : 43,7 Mb
Release : 2005-02-25
Category : Mathematics
ISBN : 9780471725176

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A History of Probability and Statistics and Their Applications before 1750 by Anders Hald Pdf

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of History of Probability and Statistics and Their Applications before 1750 "This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource." –Short Book Reviews of ISI

An Introduction to Measure Theory

Author : Terence Tao
Publisher : American Mathematical Soc.
Page : 206 pages
File Size : 45,7 Mb
Release : 2021-09-03
Category : Education
ISBN : 9781470466404

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An Introduction to Measure Theory by Terence Tao Pdf

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

Logical Foundations of Probability

Author : Rudolf Carnap
Publisher : Unknown
Page : 0 pages
File Size : 49,8 Mb
Release : 1962
Category : Electronic
ISBN : OCLC:1067867022

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Logical Foundations of Probability by Rudolf Carnap Pdf

The Craft of Probabilistic Modelling

Author : J. Gani
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461386315

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The Craft of Probabilistic Modelling by J. Gani Pdf

This book brings together the personal accounts and reflections of nineteen mathematical model-builders, whose specialty is probabilistic modelling. The reader may well wonder why, apart from personal interest, one should commission and edit such a collection of articles. There are, of course, many reasons, but perhaps the three most relevant are: (i) a philosophicaJ interest in conceptual models; this is an interest shared by everyone who has ever puzzled over the relationship between thought and reality; (ii) a conviction, not unsupported by empirical evidence, that probabilistic modelling has an important contribution to make to scientific research; and finally (iii) a curiosity, historical in its nature, about the complex interplay between personal events and the development of a field of mathematical research, namely applied probability. Let me discuss each of these in turn. Philosophical Abstraction, the formation of concepts, and the construction of conceptual models present us with complex philosophical problems which date back to Democritus, Plato and Aristotle. We have all, at one time or another, wondered just how we think; are our thoughts, concepts and models of reality approxim&tions to the truth, or are they simply functional constructs helping us to master our environment? Nowhere are these problems more apparent than in mathematical model ling, where idealized concepts and constructions replace the imperfect realities for which they stand.

The Federal Reporter

Author : Anonim
Publisher : Unknown
Page : 1836 pages
File Size : 53,8 Mb
Release : 1992
Category : Law reports, digests, etc
ISBN : UCAL:B5119993

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The Federal Reporter by Anonim Pdf

The Road of Inquiry, Charles Peirce's Pragmatic Realism

Author : Peter Skagestad
Publisher : Columbia University Press
Page : 288 pages
File Size : 43,7 Mb
Release : 1981
Category : Philosophy
ISBN : 0231050046

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The Road of Inquiry, Charles Peirce's Pragmatic Realism by Peter Skagestad Pdf

Scientist, mathematician, thinker, the father of pragmatism, the inspiration for William James and John Dewey, Charles Peirce has remained until recently a philosopher's philosopher. Peirce trod a fine line between the extremes of nominalism and realism, tough-minded pragmatism and metaphysical speculation. As Peter Skagestad makes clear, Peirce's system of thought was fragmented, incomplete, and sometimes inconsistent. But one overriding concern gives unity to the whole: the road of inquiry must never be blocked.

The Taming of Chance

Author : Ian Hacking
Publisher : Cambridge University Press
Page : 282 pages
File Size : 44,8 Mb
Release : 1990-08-31
Category : History
ISBN : 0521388848

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The Taming of Chance by Ian Hacking Pdf

This book combines detailed scientific historical research with characteristic philosophic breadth and verve.

Democracy and Education

Author : John Dewey
Publisher : Read Books Ltd
Page : 562 pages
File Size : 42,8 Mb
Release : 2013-05-31
Category : Education
ISBN : 9781473382800

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Democracy and Education by John Dewey Pdf

This antiquarian volume contains a comprehensive treatise on democracy and education, being an introduction to the 'philosophy of education'. Written in clear, concise language and full of interesting expositions and thought-provoking assertions, this volume will appeal to those with an interest in the role of education in society, and it would make for a great addition to collections of allied literature. The chapters of this book include: 'Education as a Necessity of Life'; 'Education as a Social Function'; 'Education as Direction'; 'Education as Growth'; 'Preparation, Unfolding, and Formal Discipline'; 'Education as Conservative and Progressive'; 'The Democratic Conception in Education'; 'Aims in Education', etcetera. We are republishing this vintage book now complete with a new prefatory biography of the author.

Category Theory in Context

Author : Emily Riehl
Publisher : Courier Dover Publications
Page : 272 pages
File Size : 43,6 Mb
Release : 2017-03-09
Category : Mathematics
ISBN : 9780486820804

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Category Theory in Context by Emily Riehl Pdf

Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.