The Normal Distribution

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 604/5 ( reviews)

The Normal Distribution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Normal Distribution write by Wlodzimierz Bryc. This book was released on 2012-12-06. The Normal Distribution available in PDF, EPUB and Kindle. This book is a concise presentation of the normal distribution on the real line and its counterparts on more abstract spaces, which we shall call the Gaussian distributions. The material is selected towards presenting characteristic properties, or characterizations, of the normal distribution. There are many such properties and there are numerous rel evant works in the literature. In this book special attention is given to characterizations generated by the so called Maxwell's Theorem of statistical mechanics, which is stated in the introduction as Theorem 0.0.1. These characterizations are of interest both intrin sically, and as techniques that are worth being aware of. The book may also serve as a good introduction to diverse analytic methods of probability theory. We use characteristic functions, tail estimates, and occasionally dive into complex analysis. In the book we also show how the characteristic properties can be used to prove important results about the Gaussian processes and the abstract Gaussian vectors. For instance, in Section 5.4 we present Fernique's beautiful proofs of the zero-one law and of the integrability of abstract Gaussian vectors. The central limit theorem is obtained via characterizations in Section 7.3.

Introductory Business Statistics (paperback, B&w)

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Release : 2023-06-30
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Book Rating : 487/5 ( reviews)

Introductory Business Statistics (paperback, B&w) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introductory Business Statistics (paperback, B&w) write by Alexander Holmes. This book was released on 2023-06-30. Introductory Business Statistics (paperback, B&w) available in PDF, EPUB and Kindle. Printed in b&w. Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.

Entropy-Based Parameter Estimation in Hydrology

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Release : 2013-04-17
Genre : Science
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Book Rating : 312/5 ( reviews)

Entropy-Based Parameter Estimation in Hydrology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entropy-Based Parameter Estimation in Hydrology write by V.P. Singh. This book was released on 2013-04-17. Entropy-Based Parameter Estimation in Hydrology available in PDF, EPUB and Kindle. Since the pioneering work of Shannon in the late 1940's on the development of the theory of entropy and the landmark contributions of Jaynes a decade later leading to the development of the principle of maximum entropy (POME), the concept of entropy has been increasingly applied in a wide spectrum of areas, including chemistry, electronics and communications engineering, data acquisition and storage and retreival, data monitoring network design, ecology, economics, environmental engineering, earth sciences, fluid mechanics, genetics, geology, geomorphology, geophysics, geotechnical engineering, hydraulics, hydrology, image processing, management sciences, operations research, pattern recognition and identification, photogrammetry, psychology, physics and quantum mechanics, reliability analysis, reservoir engineering, statistical mechanics, thermodynamics, topology, transportation engineering, turbulence modeling, and so on. New areas finding application of entropy have since continued to unfold. The entropy concept is indeed versatile and its applicability widespread. In the area of hydrology and water resources, a range of applications of entropy have been reported during the past three decades or so. This book focuses on parameter estimation using entropy for a number of distributions frequently used in hydrology. In the entropy-based parameter estimation the distribution parameters are expressed in terms of the given information, called constraints. Thus, the method lends itself to a physical interpretation of the parameters. Because the information to be specified usually constitutes sufficient statistics for the distribution under consideration, the entropy method provides a quantitative way to express the information contained in the distribution.

Handbook of the Normal Distribution

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Release : 1982
Genre : Mathematics
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Handbook of the Normal Distribution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of the Normal Distribution write by Jagdish K. Patel. This book was released on 1982. Handbook of the Normal Distribution available in PDF, EPUB and Kindle. A collection of results relating to the normal distribution, tracing the historical development of normal law and providing a compendium of properties. The revised edition introduces the most current estimation procedures for normally distributed samples for researchers and students in theoretical and applied statistics, including expanded treatments of: bivariate normal distribution, normal integrals, Mills' ratio, asymptotic normality, point estimation, and statistical intervals. Annotation copyright by Book News, Inc., Portland, OR

OpenIntro Statistics

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Release : 2015-07-02
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Book Rating : 046/5 ( reviews)

OpenIntro Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook OpenIntro Statistics write by David Diez. This book was released on 2015-07-02. OpenIntro Statistics available in PDF, EPUB and Kindle. The OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. We feature real data whenever possible, and files for the entire textbook are freely available at openintro.org. Visit our website, openintro.org. We provide free videos, statistical software labs, lecture slides, course management tools, and many other helpful resources.