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Author : Donald Bruce Owen
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Bivariate Normal Probability Distribution written by Donald Bruce Owen and published by . This book was released on 1957 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y.L. Tong
Publisher : Springer Science & Business Media
ISBN 13 : 1461396557
Total Pages : 281 pages
Book Rating : 4.4/5 (613 download)
Download or read book The Multivariate Normal Distribution written by Y.L. Tong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multivariate normal distribution has played a predominant role in the historical development of statistical theory, and has made its appearance in various areas of applications. Although many of the results concerning the multivariate normal distribution are classical, there are important new results which have been reported recently in the literature but cannot be found in most books on multivariate analysis. These results are often obtained by showing that the multivariate normal density function belongs to certain large families of density functions. Thus, useful properties of such families immedi ately hold for the multivariate normal distribution. This book attempts to provide a comprehensive and coherent treatment of the classical and new results related to the multivariate normal distribution. The material is organized in a unified modern approach, and the main themes are dependence, probability inequalities, and their roles in theory and applica tions. Some general properties of a multivariate normal density function are discussed, and results that follow from these properties are reviewed exten sively. The coverage is, to some extent, a matter of taste and is not intended to be exhaustive, thus more attention is focused on a systematic presentation of results rather than on a complete listing of them.
Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tables of the Bivariate Normal Distribution Function and Related Functions written by United States. National Bureau of Standards and published by . This book was released on 1959 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yongmiao Hong
Publisher : World Scientific Publishing Company
ISBN 13 : 9813228830
Total Pages : 592 pages
Book Rating : 4.8/5 (132 download)
Download or read book Probability And Statistics For Economists written by Yongmiao Hong and published by World Scientific Publishing Company. This book was released on 2017-11-02 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Statistics have been widely used in various fields of science, including economics. Like advanced calculus and linear algebra, probability and statistics are indispensable mathematical tools in economics. Statistical inference in economics, namely econometric analysis, plays a crucial methodological role in modern economics, particularly in empirical studies in economics.This textbook covers probability theory and statistical theory in a coherent framework that will be useful in graduate studies in economics, statistics and related fields. As a most important feature, this textbook emphasizes intuition, explanations and applications of probability and statistics from an economic perspective.
Author : J.G. Kalbfleisch
Publisher : Springer Science & Business Media
ISBN 13 : 1461210968
Total Pages : 355 pages
Book Rating : 4.4/5 (612 download)
Download or read book Probability and Statistical Inference written by J.G. Kalbfleisch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: A carefully written text, suitable as an introductory course for second or third year students. The main scope of the text guides students towards a critical understanding and handling of data sets together with the ensuing testing of hypotheses. This approach distinguishes it from many other texts using statistical decision theory as their underlying philosophy. This volume covers concepts from probability theory, backed by numerous problems with selected answers.
Author : Thu Pham-gia
Publisher : World Scientific
ISBN 13 : 9811235309
Total Pages : 494 pages
Book Rating : 4.8/5 (112 download)
Download or read book Multivariate Normal Distribution, The: Theory And Applications written by Thu Pham-gia and published by World Scientific. This book was released on 2021-05-05 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with user-friendly applications of normal distribution. In several variables it is called the multinormal distribution which is often handled using matrices for convenience. The author seeks to make the arguments less abstract and hence, starts with the univariate case and moves progressively toward the vector and matrix cases. The approach used in the book is a gradual one, going from one scalar variable to a vector variable and to a matrix variable. The author presents the unified aspect of normal distribution, as well as addresses several other issues, including random matrix theory in physics. Other well-known applications, such as Herrnstein and Murray's argument that human intelligence is substantially influenced by both inherited and environmental factors, will be discussed in this book. It is a better predictor of many personal dynamics — including financial income, job performance, birth out of wedlock, and involvement in crime — than are an individual's parental socioeconomic status, or education level, and deserve to be mentioned and discussed.
Author :
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (317 download)
Download or read book Bivariate Normal, Conditional and Rectangular Probabilities: A Computer Program with Applications written by and published by . This book was released on 1980 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wlodzimierz Bryc
Publisher : Springer Science & Business Media
ISBN 13 : 1461225604
Total Pages : 142 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Normal Distribution written by Wlodzimierz Bryc and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 0387096140
Total Pages : 714 pages
Book Rating : 4.3/5 (87 download)
Download or read book Continuous Bivariate Distributions written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2009-05-31 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with a review of general developments relating to bivariate distributions, this volume also covers copulas, a subject which has grown immensely in recent years. In addition, it examines conditionally specified distributions and skewed distributions.
Author : Chien-Lung Huang
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (33 download)
Download or read book Probability Integrals of a Bivariate Normal Distribution written by Chien-Lung Huang and published by . This book was released on 1993 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jim Albert
Publisher : CRC Press
ISBN 13 : 1351030132
Total Pages : 553 pages
Book Rating : 4.3/5 (51 download)
Download or read book Probability and Bayesian Modeling written by Jim Albert and published by CRC Press. This book was released on 2019-12-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Bayesian Modeling is an introduction to probability and Bayesian thinking for undergraduate students with a calculus background. The first part of the book provides a broad view of probability including foundations, conditional probability, discrete and continuous distributions, and joint distributions. Statistical inference is presented completely from a Bayesian perspective. The text introduces inference and prediction for a single proportion and a single mean from Normal sampling. After fundamentals of Markov Chain Monte Carlo algorithms are introduced, Bayesian inference is described for hierarchical and regression models including logistic regression. The book presents several case studies motivated by some historical Bayesian studies and the authors’ research. This text reflects modern Bayesian statistical practice. Simulation is introduced in all the probability chapters and extensively used in the Bayesian material to simulate from the posterior and predictive distributions. One chapter describes the basic tenets of Metropolis and Gibbs sampling algorithms; however several chapters introduce the fundamentals of Bayesian inference for conjugate priors to deepen understanding. Strategies for constructing prior distributions are described in situations when one has substantial prior information and for cases where one has weak prior knowledge. One chapter introduces hierarchical Bayesian modeling as a practical way of combining data from different groups. There is an extensive discussion of Bayesian regression models including the construction of informative priors, inference about functions of the parameters of interest, prediction, and model selection. The text uses JAGS (Just Another Gibbs Sampler) as a general-purpose computational method for simulating from posterior distributions for a variety of Bayesian models. An R package ProbBayes is available containing all of the book datasets and special functions for illustrating concepts from the book. A complete solutions manual is available for instructors who adopt the book in the Additional Resources section.
Author : Rinaldo B. Schinazi
Publisher : Springer Science & Business Media
ISBN 13 : 081768249X
Total Pages : 349 pages
Book Rating : 4.8/5 (176 download)
Download or read book Probability with Statistical Applications written by Rinaldo B. Schinazi and published by Springer Science & Business Media. This book was released on 2011-12-15 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition textbook offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Calculus is a prerequisite for understanding the basic concepts, however the book is written with a sensitivity to students’ common difficulties with calculus that does not obscure the thorough treatment of the probability content. The first six chapters of this text neatly and concisely cover the material traditionally required by most undergraduate programs for a first course in probability. The comprehensive text includes a multitude of new examples and exercises, and careful revisions throughout. Particular attention is given to the expansion of the last three chapters of the book with the addition of one entirely new chapter (9) on ’Finding and Comparing Estimators.’ The classroom-tested material presented in this second edition forms the basis for a second course introducing mathematical statistics.
Author : A. M. Mathai
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)
Download or read book Characterizations of the Normal Probability Law written by A. M. Mathai and published by John Wiley & Sons. This book was released on 1977 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alan Genz
Publisher : Springer Science & Business Media
ISBN 13 : 3642016898
Total Pages : 130 pages
Book Rating : 4.6/5 (42 download)
Download or read book Computation of Multivariate Normal and t Probabilities written by Alan Genz and published by Springer Science & Business Media. This book was released on 2009-07-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate normal and t probabilities are needed for statistical inference in many applications. Modern statistical computation packages provide functions for the computation of these probabilities for problems with one or two variables. This book describes recently developed methods for accurate and efficient computation of the required probability values for problems with two or more variables. The book discusses methods for specialized problems as well as methods for general problems. The book includes examples that illustrate the probability computations for a variety of applications.
Author : Jagdish K. Patel
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (319 download)
Download or read book Handbook of the Normal Distribution written by Jagdish K. Patel and published by . This book was released on 1982 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Eric Zivot
Publisher : CRC Press
ISBN 13 : 9781498775779
Total Pages : 500 pages
Book Rating : 4.7/5 (757 download)
Download or read book Computational Finance and Financial Econometrics written by Eric Zivot and published by CRC Press. This book was released on 2017-01-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents mathematical, programming and statistical tools used in the real world analysis and modeling of financial data. The tools are used to model asset returns, measure risk, and construct optimized portfolios using the open source R programming language and Microsoft Excel. The author explains how to build probability models for asset returns, to apply statistical techniques to evaluate if asset returns are normally distributed, to use Monte Carlo simulation and bootstrapping techniques to evaluate statistical models, and to use optimization methods to construct efficient portfolios.
Author : Alexandra Dias
Publisher : Routledge
ISBN 13 : 1317976908
Total Pages : 310 pages
Book Rating : 4.3/5 (179 download)
Download or read book Copulae and Multivariate Probability Distributions in Finance written by Alexandra Dias and published by Routledge. This book was released on 2013-08-21 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portfolio theory and much of asset pricing, as well as many empirical applications, depend on the use of multivariate probability distributions to describe asset returns. Traditionally, this has meant the multivariate normal (or Gaussian) distribution. More recently, theoretical and empirical work in financial economics has employed the multivariate Student (and other) distributions which are members of the elliptically symmetric class. There is also a growing body of work which is based on skew-elliptical distributions. These probability models all exhibit the property that the marginal distributions differ only by location and scale parameters or are restrictive in other respects. Very often, such models are not supported by the empirical evidence that the marginal distributions of asset returns can differ markedly. Copula theory is a branch of statistics which provides powerful methods to overcome these shortcomings. This book provides a synthesis of the latest research in the area of copulae as applied to finance and related subjects such as insurance. Multivariate non-Gaussian dependence is a fact of life for many problems in financial econometrics. This book describes the state of the art in tools required to deal with these observed features of financial data. This book was originally published as a special issue of the European Journal of Finance.
