Theory of Statistics

Theory of Statistics

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  • Author: Mark J. Schervish
  • Publisher: Springer Science & Business Media
  • ISBN: 1461242509
  • Category : Mathematics
  • Languages : en
  • Pages : 732

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.


Theory and Methods of Statistics

Theory and Methods of Statistics

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  • Author: P.K. Bhattacharya
  • Publisher: Academic Press
  • ISBN: 0128041234
  • Category : Mathematics
  • Languages : en
  • Pages : 546

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


Mathematical Theory of Statistics

Mathematical Theory of Statistics

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  • Author: Helmut Strasser
  • Publisher: Walter de Gruyter
  • ISBN: 3110850826
  • Category : Mathematics
  • Languages : en
  • Pages : 505

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.


Asymptotic Theory of Statistics and Probability

Asymptotic Theory of Statistics and Probability

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  • Author: Anirban DasGupta
  • Publisher: Springer Science & Business Media
  • ISBN: 0387759700
  • Category : Mathematics
  • Languages : en
  • Pages : 726

This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. The book is unique in its detailed coverage of fundamental topics. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. There is no other book in large sample theory that matches this book in coverage, exercises and examples, bibliography, and lucid conceptual discussion of issues and theorems.


Statistics in Theory and Practice

Statistics in Theory and Practice

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  • Author: Robert Lupton
  • Publisher: Princeton University Press
  • ISBN: 0691213194
  • Category : Mathematics
  • Languages : en
  • Pages : 200

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.


Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

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  • Author: A. A. Sveshnikov
  • Publisher: Courier Corporation
  • ISBN: 0486137562
  • Category : Mathematics
  • Languages : en
  • Pages : 516

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.


Kendall's Advanced Theory of Statistics, Distribution Theory

Kendall's Advanced Theory of Statistics, Distribution Theory

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  • Author: Maurice George Kendall
  • Publisher: Wiley-Interscience
  • ISBN:
  • Category : Business & Economics
  • Languages : en
  • Pages : 712

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.


Introduction to the Theory of Statistics

Introduction to the Theory of Statistics

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  • Author: Alexander MacFarlane Mood
  • Publisher: McGraw-Hill Publishing Company
  • ISBN: 9780070854659
  • Category : Mathematical statistics
  • Languages : en
  • Pages : 564

This text offers a sound and self-contained introduction to classical statistical theory. The material is suitable for students who have successfully completed a single year's course in calculus, and no prior knowledge of statistics or probability is assumed. Practical examples and problems are included.


Kendall's Advanced Theory of Statistics, Distribution Theory

Kendall's Advanced Theory of Statistics, Distribution Theory

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  • Author: Alan Stuart
  • Publisher: John Wiley & Sons
  • ISBN: 0470665300
  • Category : Mathematics
  • Languages : en
  • Pages : 709

Kendall's Advanced Theory of Statistics and Kendall's Library of Statistics The development of modern statistical theory is reflected in the history of the late Sir Maurice Kenfall's volumes, The Advanced Theory of Statistics. This landmark publication began life as a two-volume work and grew steadily as a single-authored work until the 1950s. In this edition, there is new material on skewness and kurtosis, hazard rate distribution, the bootstrap, the evaluation of the multivariate normal integral and ratios of quadratic forms. It also includes over 200 new references, 40 new exercises, and 20 further examples in the main text.


Differential Geometrical Theory of Statistics

Differential Geometrical Theory of Statistics

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  • Author: Frédéric Barbaresco
  • Publisher: MDPI
  • ISBN: 3038424242
  • Category : Computers
  • Languages : en
  • Pages : 473

This book is a printed edition of the Special Issue "Differential Geometrical Theory of Statistics" that was published in Entropy