Author: Norman L. Johnson
Publisher: John Wiley & Sons
Published: 2005-10-03
Total Pages: 676
ISBN-13: 0471715808
DOWNLOAD EBOOK →This Set Contains: Continuous Multivariate Distributions, Volume 1, Models and Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 1, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 2, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discrete Multivariate Distributions by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Univariate Discrete Distributions, 3rd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discover the latest advances in discrete distributions theory The Third Edition of the critically acclaimed Univariate Discrete Distributions provides a self-contained, systematic treatment of the theory, derivation, and application of probability distributions for count data. Generalized zeta-function and q-series distributions have been added and are covered in detail. New families of distributions, including Lagrangian-type distributions, are integrated into this thoroughly revised and updated text. Additional applications of univariate discrete distributions are explored to demonstrate the flexibility of this powerful method. A thorough survey of recent statistical literature draws attention to many new distributions and results for the classical distributions. Approximately 450 new references along with several new sections are introduced to reflect the current literature and knowledge of discrete distributions. Beginning with mathematical, probability, and statistical fundamentals, the authors provide clear coverage of the key topics in the field, including: Families of discrete distributions Binomial distribution Poisson distribution Negative binomial distribution Hypergeometric distributions Logarithmic and Lagrangian distributions Mixture distributions Stopped-sum distributions Matching, occupancy, runs, and q-series distributions Parametric regression models and miscellanea Emphasis continues to be placed on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions. New derivations of discrete distributions via stochastic processes and random walks are introduced without unnecessarily complex discussions of stochastic processes. Throughout the Third Edition, extensive information has been added to reflect the new role of computer-based applications. With its thorough coverage and balanced presentation of theory and application, this is an excellent and essential reference for statisticians and mathematicians.
Author: Peter Zörnig
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2024-08-19
Total Pages: 441
ISBN-13: 3111332322
DOWNLOAD EBOOK →The idea of the book is to present a text that is useful for both students of quantitative sciences and practitioners who work with univariate or multivariate probabilistic models. Since the text should also be suitable for self-study, excessive formalism is avoided though mathematical rigor is retained. A deeper insight into the topics is provided by detailed examples and illustrations. The book covers the standard content of a course in probability and statistics. However, the second edition includes two new chapters about distribution theory and exploratory data analysis. The first-mentioned chapter certainly goes beyond the standard material. It is presented to reflect the growing practical importance of developing new distributions. The second new chapter studies intensively one- and bidimensional concepts like assymetry, kurtosis, correlation and determination coefficients. In particular, examples are intended to enable the reader to take a critical look at the appropriateness of the geometrically motivated concepts.
Author: Eric W. Weisstein
Publisher: CRC Press
Published: 2002-12-12
Total Pages: 3253
ISBN-13: 1420035223
DOWNLOAD EBOOK →Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Author: Peter Zörnig
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2016-07-11
Total Pages: 293
ISBN-13: 3110402831
DOWNLOAD EBOOK →This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality. Contents: Mathematics revision Introduction to probability Finite sample spaces Conditional probability and independence One-dimensional random variables Functions of random variables Bi-dimensional random variables Characteristics of random variables Discrete probability models Continuous probability models Generating functions in probability Sums of many random variables Samples and sampling distributions Estimation of parameters Hypothesis tests
Author: Peter Grzybek
Publisher: Walter de Gruyter
Published: 2011-12-22
Total Pages: 790
ISBN-13: 3110894211
DOWNLOAD EBOOK →Founding Editor: Gabriel Altmann The series Quantitative Linguistics publishes books on all aspects of quantitative methods and models in linguistics, text analysis and related research fields. Specifically, the scope of the series covers the whole spectrum of theoretical and empirical research, ultimately striving for an exact mathematical formulation and empirical testing of hypotheses: observation and description of linguistic data, application of methods and models, discussion of methodological and epistemological issues, modelling of language and text phenomena.
Author: Gabriel Altmann
Publisher: Walter de Gruyter
Published: 2008-08-27
Total Pages: 185
ISBN-13: 3110207109
DOWNLOAD EBOOK →This volume presents 12 papers on a new approach to the analysis of writing systems. For the first time, quantitative methods are introduced into this area of research in a systematic way. The individual contributions give an overview about quantitative properties of symbols and of writing systems, introduce methods of analysis, study individual writing systems as used for different languages, set up an explanatory model of phenomena connected to script development/evolution, and give a perspective to a general theory of writing systems.
Author: Peter Grzybek
Publisher: Springer Science & Business Media
Published: 2006-01-17
Total Pages: 353
ISBN-13: 1402040687
DOWNLOAD EBOOK →Required reading for computational linguists, this work contains a series of important contributions to the science of language, focusing on the study of word length. The book includes an introduction to the history and state of the art of word length studies. The studies included unify contributions from three crucial fields of study in linguistics: linguistics and text analysis, mathematics and statistics, and corpus and database design. Together they provide a comprehensive approach to the quantitative study of text and language.
Author: Michael Friendly
Publisher: CRC Press
Published: 2015-12-16
Total Pages: 700
ISBN-13: 1498725864
DOWNLOAD EBOOK →An Applied Treatment of Modern Graphical Methods for Analyzing Categorical DataDiscrete Data Analysis with R: Visualization and Modeling Techniques for Categorical and Count Data presents an applied treatment of modern methods for the analysis of categorical data, both discrete response data and frequency data. It explains how to use graphical meth
Author: Robert A. Rigby
Publisher: CRC Press
Published: 2019-10-08
Total Pages: 421
ISBN-13: 1000701182
DOWNLOAD EBOOK →This is a book about statistical distributions, their properties, and their application to modelling the dependence of the location, scale, and shape of the distribution of a response variable on explanatory variables. It will be especially useful to applied statisticians and data scientists in a wide range of application areas, and also to those interested in the theoretical properties of distributions. This book follows the earlier book ‘Flexible Regression and Smoothing: Using GAMLSS in R’, [Stasinopoulos et al., 2017], which focused on the GAMLSS model and software. GAMLSS (the Generalized Additive Model for Location, Scale, and Shape, [Rigby and Stasinopoulos, 2005]), is a regression framework in which the response variable can have any parametric distribution and all the distribution parameters can be modelled as linear or smooth functions of explanatory variables. The current book focuses on distributions and their application. Key features: Describes over 100 distributions, (implemented in the GAMLSS packages in R), including continuous, discrete and mixed distributions. Comprehensive summary tables of the properties of the distributions. Discusses properties of distributions, including skewness, kurtosis, robustness and an important classification of tail heaviness. Includes mixed distributions which are continuous distributions with additional specific values with point probabilities. Includes many real data examples, with R code integrated in the text for ease of understanding and replication. Supplemented by the gamlss website. This book will be useful for applied statisticians and data scientists in selecting a distribution for a univariate response variable and modelling its dependence on explanatory variables, and to those interested in the properties of distributions.