The Advanced Theory Of Statistics Distribution Theory

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Kendall's Advanced Theory of Statistics, Distribution Theory

Author : Maurice George Kendall
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Kendall's Advanced Theory of Statistics, Distribution Theory by : Maurice George Kendall

Download or read book Kendall's Advanced Theory of Statistics, Distribution Theory written by Maurice George Kendall and published by Wiley-Interscience. This book was released on 1994-06-30 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This major revision contains a largely new chapter 7 providing an extensive discussion of the bivariate and multivariate versions of the standard distributions and families. Chapter 16 has been enlarged to cover multivariate sampling theory, an updated version of material previously found inthe old Volume III. The previous chapters 7 and 8 have been condensed into a single chapter providing an introduction to statistical inference. Elsewhere, major updates include new material on skewness and kurtosis, hazard rate distributions, the bootstrap, the evaluation of the multivariate normalintegral and ratios of quadratic forms. The new edition includes over 200 new references, 40 new exercises and 20 further examples in the main text. In addition, all the text examples have been given titles, and these are listed at the front of the book for easier reference.

Elements of Distribution Theory

Author : Thomas A. Severini
Publisher : Cambridge University Press
ISBN 13 : 1139446118
Total Pages : 3 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elements of Distribution Theory by : Thomas A. Severini

Download or read book Elements of Distribution Theory written by Thomas A. Severini and published by Cambridge University Press. This book was released on 2005-08-08 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are covered comprehensively.

Theory of Statistics

Author : Mark J. Schervish
Publisher : Springer Science & Business Media
ISBN 13 : 1461242509
Total Pages : 732 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theory of Statistics by : Mark J. Schervish

Download or read book Theory of Statistics written by Mark J. Schervish and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this graduate textbook is to provide a comprehensive advanced course in the theory of statistics covering those topics in estimation, testing, and large sample theory which a graduate student might typically need to learn as preparation for work on a Ph.D. An important strength of this book is that it provides a mathematically rigorous and even-handed account of both Classical and Bayesian inference in order to give readers a broad perspective. For example, the "uniformly most powerful" approach to testing is contrasted with available decision-theoretic approaches.

The Advanced Theory of Statistics

Author : Maurice George Kendall
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Advanced Theory of Statistics by : Maurice George Kendall

Download or read book The Advanced Theory of Statistics written by Maurice George Kendall and published by . This book was released on 1963 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Advanced Theory of Statistics

Author : Maurice George Kendall
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Advanced Theory of Statistics by : Maurice George Kendall

Download or read book The Advanced Theory of Statistics written by Maurice George Kendall and published by . This book was released on 1969 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory and Methods of Statistics

Author : P.K. Bhattacharya
Publisher : Academic Press
ISBN 13 : 0128041234
Total Pages : 546 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Theory and Methods of Statistics by : P.K. Bhattacharya

Download or read book Theory and Methods of Statistics written by P.K. Bhattacharya and published by Academic Press. This book was released on 2016-06-23 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Methods of Statistics covers essential topics for advanced graduate students and professional research statisticians. This comprehensive resource covers many important areas in one manageable volume, including core subjects such as probability theory, mathematical statistics, and linear models, and various special topics, including nonparametrics, curve estimation, multivariate analysis, time series, and resampling. The book presents subjects such as "maximum likelihood and sufficiency," and is written with an intuitive, heuristic approach to build reader comprehension. It also includes many probability inequalities that are not only useful in the context of this text, but also as a resource for investigating convergence of statistical procedures. - Codifies foundational information in many core areas of statistics into a comprehensive and definitive resource - Serves as an excellent text for select master's and PhD programs, as well as a professional reference - Integrates numerous examples to illustrate advanced concepts - Includes many probability inequalities useful for investigating convergence of statistical procedures

Kendalls Advanced Theory of Statistics, 3 Volume Set

Author : Alan Stuart
Publisher : Wiley
ISBN 13 : 9780340814932
Total Pages : 250 pages
Book Rating : 4.8/5 (149 download)

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Book Synopsis Kendalls Advanced Theory of Statistics, 3 Volume Set by : Alan Stuart

Download or read book Kendalls Advanced Theory of Statistics, 3 Volume Set written by Alan Stuart and published by Wiley. This book was released on 2009-02-24 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 3-volume set offers the complete, classic Kendall's Advanced Theory of Statistics in a single, value-for-money pack. The latest set includes the brand new second edition of the popular 'Volume 2B: Bayesian Inference', along with the sixth editions of 'Volume 1: Distribution Theory' and 'Volume 2A: Classical Inference and the Linear Model'.

Advances in Distribution Theory, Order Statistics, and Inference

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Distribution Theory, Order Statistics, and Inference by : N. Balakrishnan

Download or read book Advances in Distribution Theory, Order Statistics, and Inference written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to honor the fundamental contributions to many different areas of statistics made by Barry Arnold. Distinguished and active researchers highlight some of the recent developments in statistical distribution theory, order statistics and their properties, as well as inferential methods associated with them. Applications to survival analysis, reliability, quality control, and environmental problems are emphasized.

Distribution Theory of Runs and Patterns and Its Applications

Author : James C. Fu
Publisher : World Scientific
ISBN 13 : 9810245874
Total Pages : 174 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Distribution Theory of Runs and Patterns and Its Applications by : James C. Fu

Download or read book Distribution Theory of Runs and Patterns and Its Applications written by James C. Fu and published by World Scientific. This book was released on 2003 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous, comprehensive introduction to the finite Markov chain imbedding technique for studying the distributions of runs and patterns from a unified and intuitive viewpoint, away from the lines of traditional combinatorics.

Statistical Distributions

Author : Catherine Forbes
Publisher : John Wiley & Sons
ISBN 13 : 1118097823
Total Pages : 206 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Statistical Distributions by : Catherine Forbes

Download or read book Statistical Distributions written by Catherine Forbes and published by John Wiley & Sons. This book was released on 2011-03-21 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the trusted guide on commonly used statistical distributions Fully updated to reflect the latest developments on the topic, Statistical Distributions, Fourth Edition continues to serve as an authoritative guide on the application of statistical methods to research across various disciplines. The book provides a concise presentation of popular statistical distributions along with the necessary knowledge for their successful use in data modeling and analysis. Following a basic introduction, forty popular distributions are outlined in individual chapters that are complete with related facts and formulas. Reflecting the latest changes and trends in statistical distribution theory, the Fourth Edition features: A new chapter on queuing formulas that discusses standard formulas that often arise from simple queuing systems Methods for extending independent modeling schemes to the dependent case, covering techniques for generating complex distributions from simple distributions New coverage of conditional probability, including conditional expectations and joint and marginal distributions Commonly used tables associated with the normal (Gaussian), student-t, F and chi-square distributions Additional reviewing methods for the estimation of unknown parameters, such as the method of percentiles, the method of moments, maximum likelihood inference, and Bayesian inference Statistical Distributions, Fourth Edition is an excellent supplement for upper-undergraduate and graduate level courses on the topic. It is also a valuable reference for researchers and practitioners in the fields of engineering, economics, operations research, and the social sciences who conduct statistical analyses.

Statistics in Theory and Practice

Author : Robert Lupton
Publisher : Princeton University Press
ISBN 13 : 0691213194
Total Pages : 200 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Statistics in Theory and Practice by : Robert Lupton

Download or read book Statistics in Theory and Practice written by Robert Lupton and published by Princeton University Press. This book was released on 2020-05-05 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at a diverse scientific audience, including physicists, astronomers, chemists, geologists, and economists, this book explains the theory underlying the classical statistical methods. Its level is between introductory "how to" texts and intimidating mathematical monographs. A reader without previous exposure to statistics will finish the book with a sound working knowledge of statistical methods, while a reader already familiar with the standard tests will come away with an understanding of their strengths, weaknesses, and domains of applicability. The mathematical level is that of an advanced undergraduate; for example, matrices and Fourier analysis are used where appropriate. Among the topics covered are common probability distributions; sampling and the distribution of sampling statistics; confidence intervals, hypothesis testing, and the theory of tests; estimation (including maximum likelihood); goodness of fit (including c2 and Kolmogorov-Smirnov tests); and non-parametric and rank tests. There are nearly one hundred problems (with answers) designed to bring out points in the text and to cover topics slightly outside the main line of development.

Models for Probability and Statistical Inference

Author : James H. Stapleton
Publisher : John Wiley & Sons
ISBN 13 : 0470183403
Total Pages : 466 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Models for Probability and Statistical Inference by : James H. Stapleton

Download or read book Models for Probability and Statistical Inference written by James H. Stapleton and published by John Wiley & Sons. This book was released on 2007-12-14 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, yet thorough, book is enhanced with simulations and graphs to build the intuition of readers Models for Probability and Statistical Inference was written over a five-year period and serves as a comprehensive treatment of the fundamentals of probability and statistical inference. With detailed theoretical coverage found throughout the book, readers acquire the fundamentals needed to advance to more specialized topics, such as sampling, linear models, design of experiments, statistical computing, survival analysis, and bootstrapping. Ideal as a textbook for a two-semester sequence on probability and statistical inference, early chapters provide coverage on probability and include discussions of: discrete models and random variables; discrete distributions including binomial, hypergeometric, geometric, and Poisson; continuous, normal, gamma, and conditional distributions; and limit theory. Since limit theory is usually the most difficult topic for readers to master, the author thoroughly discusses modes of convergence of sequences of random variables, with special attention to convergence in distribution. The second half of the book addresses statistical inference, beginning with a discussion on point estimation and followed by coverage of consistency and confidence intervals. Further areas of exploration include: distributions defined in terms of the multivariate normal, chi-square, t, and F (central and non-central); the one- and two-sample Wilcoxon test, together with methods of estimation based on both; linear models with a linear space-projection approach; and logistic regression. Each section contains a set of problems ranging in difficulty from simple to more complex, and selected answers as well as proofs to almost all statements are provided. An abundant amount of figures in addition to helpful simulations and graphs produced by the statistical package S-Plus(r) are included to help build the intuition of readers.

A First Course in Order Statistics

Author : Barry C. Arnold
Publisher : SIAM
ISBN 13 : 0898716489
Total Pages : 291 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A First Course in Order Statistics by : Barry C. Arnold

Download or read book A First Course in Order Statistics written by Barry C. Arnold and published by SIAM. This book was released on 2008-09-25 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated classic text will aid readers in understanding much of the current literature on order statistics: a flourishing field of study that is essential for any practising statistician and a vital part of the training for students in statistics. Written in a simple style that requires no advanced mathematical or statistical background, the book introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterisation results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. The authors have updated the text with suggestions for further reading that may be used for self-study. Written for advanced undergraduate and graduate students in statistics and mathematics, practising statisticians, engineers, climatologists, economists, and biologists.

Order Statistics

Author : Herbert A. David
Publisher : John Wiley & Sons
ISBN 13 : 0471654019
Total Pages : 482 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Order Statistics by : Herbert A. David

Download or read book Order Statistics written by Herbert A. David and published by John Wiley & Sons. This book was released on 2004-03-22 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an up-to-date coverage of the theory and applications of ordered random variables and their functions. Furthermore, it develops the distribution theory of OS systematically. Applications include procedures for the treatment of outliers and other data analysis techniques. Even when chapter and section headings are the same as in OSII, there are appreciable changes, mostly additions, with some obvious deletions. Parts of old Ch. 7, for example, are prime candidates for omission. Appendices are designed to help collate tables, computer algorithms, and software, as well as to compile related monographs on the subject matter. Extensive exercise sets will continue, many of them replaced by newer ones.

All of Statistics

Author : Larry Wasserman
Publisher : Springer Science & Business Media
ISBN 13 : 0387217363
Total Pages : 446 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis All of Statistics by : Larry Wasserman

Download or read book All of Statistics written by Larry Wasserman and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Statistics of Extremes

Author : Jan Beirlant
Publisher : John Wiley & Sons
ISBN 13 : 9780471976479
Total Pages : 516 pages
Book Rating : 4.9/5 (764 download)

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Book Synopsis Statistics of Extremes by : Jan Beirlant

Download or read book Statistics of Extremes written by Jan Beirlant and published by John Wiley & Sons. This book was released on 2004-10-15 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in the statistical analysis of extreme values has flourished over the past decade: new probability models, inference and data analysis techniques have been introduced; and new application areas have been explored. Statistics of Extremes comprehensively covers a wide range of models and application areas, including risk and insurance: a major area of interest and relevance to extreme value theory. Case studies are introduced providing a good balance of theory and application of each model discussed, incorporating many illustrated examples and plots of data. The last part of the book covers some interesting advanced topics, including time series, regression, multivariate and Bayesian modelling of extremes, the use of which has huge potential.

Aspects of Multivariate Statistical Theory

Author : Robb J. Muirhead
Publisher : John Wiley & Sons
ISBN 13 : 0470316705
Total Pages : 706 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Aspects of Multivariate Statistical Theory by : Robb J. Muirhead

Download or read book Aspects of Multivariate Statistical Theory written by Robb J. Muirhead and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. ". . . the wealth of material on statistics concerning the multivariate normal distribution is quite exceptional. As such it is a very useful source of information for the general statistician and a must for anyone wanting to penetrate deeper into the multivariate field." -Mededelingen van het Wiskundig Genootschap "This book is a comprehensive and clearly written text on multivariate analysis from a theoretical point of view." -The Statistician Aspects of Multivariate Statistical Theory presents a classical mathematical treatment of the techniques, distributions, and inferences based on multivariate normal distribution. Noncentral distribution theory, decision theoretic estimation of the parameters of a multivariate normal distribution, and the uses of spherical and elliptical distributions in multivariate analysis are introduced. Advances in multivariate analysis are discussed, including decision theory and robustness. The book also includes tables of percentage points of many of the standard likelihood statistics used in multivariate statistical procedures. This definitive resource provides in-depth discussion of the multivariate field and serves admirably as both a textbook and reference.