Theory of Probability and Statistics as Exemplified in Short Dictums
Author: Oskar B. Šejnin
Publisher:
Published: 2009
Total Pages: 199
ISBN-13: 9783938417980
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Theory of Probability and Statistics as Exemplified in Short Dictums
A History of the Central Limit Theorem
Author: Hans Fischer
Publisher: Springer Science & Business Media
Published: 2010-10-08
Total Pages: 415
ISBN-13: 0387878572
DOWNLOAD EBOOK →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
Published: 1966-01-01
Total Pages: 644
ISBN-13: 9780486646848
DOWNLOAD EBOOK →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
Published: 2019-09-19
Total Pages: 787
ISBN-13: 1107185149
DOWNLOAD EBOOK →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
Published: 2005-02-25
Total Pages: 611
ISBN-13: 047172517X
DOWNLOAD EBOOK →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.
Published: 2021-09-03
Total Pages: 206
ISBN-13: 1470466406
DOWNLOAD EBOOK →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
Introduction to Information Retrieval
Author: Christopher D. Manning
Publisher: Cambridge University Press
Published: 2008-07-07
Total Pages:
ISBN-13: 1139472100
DOWNLOAD EBOOK →Class-tested and coherent, this textbook teaches classical and web information retrieval, including web search and the related areas of text classification and text clustering from basic concepts. It gives an up-to-date treatment of all aspects of the design and implementation of systems for gathering, indexing, and searching documents; methods for evaluating systems; and an introduction to the use of machine learning methods on text collections. All the important ideas are explained using examples and figures, making it perfect for introductory courses in information retrieval for advanced undergraduates and graduate students in computer science. Based on feedback from extensive classroom experience, the book has been carefully structured in order to make teaching more natural and effective. Slides and additional exercises (with solutions for lecturers) are also available through the book's supporting website to help course instructors prepare their lectures.
The Scout Mindset
Author: Julia Galef
Publisher: Penguin
Published: 2021-04-13
Total Pages: 290
ISBN-13: 0735217556
DOWNLOAD EBOOK →"...an engaging and enlightening account from which we all can benefit."—The Wall Street Journal A better way to combat knee-jerk biases and make smarter decisions, from Julia Galef, the acclaimed expert on rational decision-making. When it comes to what we believe, humans see what they want to see. In other words, we have what Julia Galef calls a "soldier" mindset. From tribalism and wishful thinking, to rationalizing in our personal lives and everything in between, we are driven to defend the ideas we most want to believe—and shoot down those we don't. But if we want to get things right more often, argues Galef, we should train ourselves to have a "scout" mindset. Unlike the soldier, a scout's goal isn't to defend one side over the other. It's to go out, survey the territory, and come back with as accurate a map as possible. Regardless of what they hope to be the case, above all, the scout wants to know what's actually true. In The Scout Mindset, Galef shows that what makes scouts better at getting things right isn't that they're smarter or more knowledgeable than everyone else. It's a handful of emotional skills, habits, and ways of looking at the world—which anyone can learn. With fascinating examples ranging from how to survive being stranded in the middle of the ocean, to how Jeff Bezos avoids overconfidence, to how superforecasters outperform CIA operatives, to Reddit threads and modern partisan politics, Galef explores why our brains deceive us and what we can do to change the way we think.
