Mathematical Statistics with Mathematica
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Mathematical Statistics with Mathematica: (Springer Texts in Statistics)

Mathematical Statistics with Mathematica: (Springer Texts in Statistics)


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About the Book

This path-breaking book presents a unified approach for doing mathematical statistics with Mathematica. The included mathStatica software builds upon Mathmatica's symbolic engine to create a sophisticated toolset specially designed for doing mathematical statistics. With mathStatica, students can easily solve difficult statistical problems, while the professional statistician will be able to tackle tricky multivariate distributions, generating functions, inversion theorems, symbolic ML estimation, unbiased estimation, etc. The mathStatica software is wonderfully easy to use, and yet so powerful that it can find corrections to mainstream reference texts and solve new problems in seconds. This book is the ideal companion for researchers and students in statistics, econometrics, engineering, physics, psychometrics, economics, finance, biometrics, and the social sciences, across both the pure and applied domains. The book contains two cross-platform CDs, which run on Windows, Mac, Linux, and most flavours of UNIX: CD 1-mathStatica CD-ROM containing: * mathStatica: The Application Pack for mathematical statistics * live interactive book that is identical to the printed text. * hundreds of live examples, animations and illustrations * custom Mathematica palettes CD2-Mathematica v4 (trial CD): for readers who are new to Mathematica. mathStatica replaces dozens of reference works, extending analysis to problems of arbitrary high order. Features include: * a complete suite of functions for manipulating probability density

Table of Contents:
Introduction * Continuous Random Variables * Discrete Random Variables * Distributions of Functions of Random Variables * Systems of Distributions * Multivariate Distributions * Moments of Sampling Distributions * Asymptotic Theory * Statistical Decision Theory * Unbiased Parameter Estimation * Principles of Maximum Likelihood Estimation * Maximum Likelihood Estimation in Practice

Review :
From the reviews: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION "This book will be of immediate use to four classes of persons: (1) any person who would do more of the Hogg-Craig-style basics, if only it were much easier, (2) people who work with real data whose needs are ill met by traditional statistical packages (e.g. actuaries); (3) persons whose computational needs consistently bump into the bounds of traditional software (e.g., econometricians working with esoteric distributions), and (4) teachers who want to involve the traditional mathematical statistics curriculum. This book has the potential to revolutionize the teaching of mathematical statistics." MATHEMATICAL REVIEWS "This is a really good textbook in mathematical statistics. It presents a unified approach for doing mathematical statistics with the powerful computer software Mathematica that provides an arbitrary-precision numerical engine and superb graphics and a powerful symbolic/algebraic engine that is ideally suited to solving problems in mathematical statisticsa ]For students, this book is not only a text in mathematical statistics, it is an interactive medium to explorea ]A lot of exercises at the end of chapters is a good argument to consider this book as a perfect supplement to any traditional course in mathematical statistics." SOUTH AFRICAN STATISTICAL ASSOCIATION NEWSLETTER "This book is unusual and impressive!...The book provides a fascinating, illustrative tour through the theory of mathematical statistics. The material is well-organized...Concepts are presented succinctly and well with a few carefully chosen theorems accompanied by outline proofs. The book could certainly be used inteaching as a companion text for courses ranging from second-year to Honours level. In particualar it would be ideal for an Honours level course on distributional theory. It is an excellent and intriguing text." "The book is not so much a book about Mathematica as it is a book about mathematical statistics brought to life by computer; it just so happens that their vehicle for doing so is Mathematica, an excellent choice. The centerpiece of the book is the Mathematica add-on mathStatica that Rose and Smith have written, which actually makes Mathematica easy to use. a ] This book has the potential to revolutionize the teaching of mathematical statistics." (B. D. McCullough, Journal of the American Statistical Association, December, 2002) "This is a really good textbook in mathematical statistics. It presents a unified approach for doing mathematical statistics with the powerful computer software Mathematica that provides an arbitrary-precision numerical engine and superb graphics a ] . For students this book is not only a text in mathematical statistics, it is an interactive medium to explore. a ] A lot of exercises at the end of chapters is a good argument to consider this book as a perfect supplement to any traditional course in mathematical statistics." (M. P. Moklyachuk, Mathematical Reviews, 2003 e) "This book is unusual and impressive! a ] Broadly the book provides a fascinating, illustrative tour through the theory of mathematical statistics. The material is well-organized a ] . Concepts are presented succinctly and well with a few carefully chosen theorems accompanied by outline proofs. a ] the book provides a fascinating account of mathematical statistics that willappeal to professional statisticians and research students working with distributions. a ] It is an excellent and intriguing text." (Linda Haines, Newsletter on the South African Statistical Association, June, 2003) "The present book proposes a professional approach to the statistical theory from the computational and mathematical point of view, using the powerful computer software Mathematica as support for the advanced numeric and symbolic computations. a ] Addressed at researchers, students, and professional practitioners with a good knowledge of mathematical statistics, the focus of this book is on problem solving rather than mathematical theorems and proofsa ] . a perfect companion to any kind of (university) course level in mathematical statistics." (Neculai Curteanu, Zentralblatt MATH, Vol. 989 (14), 2002)


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Product Details
  • ISBN-13: 9780387952345
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Height: 230 mm
  • Returnable: N
  • Weight: 1100 gr
  • ISBN-10: 0387952349
  • Publisher Date: 08 Mar 2002
  • Binding: SA
  • Language: English
  • Series Title: Springer Texts in Statistics


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