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Author : Aris Spanos
Publisher : Cambridge University Press
Page : 787 pages
File Size : 52,7 Mb
Release : 2019-09-19
Category : Business & Economics
ISBN : 9781107185142
This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.
Author : Harold J. Larson
Publisher : John Wiley & Sons
Page : 454 pages
File Size : 42,9 Mb
Release : 1974
Category : Mathematics
ISBN : UOM:39015022333325
Discusses probability theory and to many methods used in problems of statistical inference. The Third Edition features material on descriptive statistics. Cramer-Rao bounds for variance of estimators, two-sample inference procedures, bivariate normal probability law, F-Distribution, and the analysis of variance and non-parametric procedures. Contains numerous practical examples and exercises.
Author : W.L. Harper,Cliff Hooker
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 41,5 Mb
Release : 1976
Category : Gardening
ISBN : 9027706174
Proceedings of an International Research Colloquium held at the University of Western Ontario, 10-13 May 1973.
Author : Miltiadis C. Mavrakakis,Jeremy Penzer
Publisher : CRC Press
Page : 444 pages
File Size : 49,5 Mb
Release : 2021-03-28
Category : Mathematics
ISBN : 9781315362045
Probability and Statistical Inference: From Basic Principles to Advanced Models covers aspects of probability, distribution theory, and inference that are fundamental to a proper understanding of data analysis and statistical modelling. It presents these topics in an accessible manner without sacrificing mathematical rigour, bridging the gap between the many excellent introductory books and the more advanced, graduate-level texts. The book introduces and explores techniques that are relevant to modern practitioners, while being respectful to the history of statistical inference. It seeks to provide a thorough grounding in both the theory and application of statistics, with even the more abstract parts placed in the context of a practical setting. Features: •Complete introduction to mathematical probability, random variables, and distribution theory. •Concise but broad account of statistical modelling, covering topics such as generalised linear models, survival analysis, time series, and random processes. •Extensive discussion of the key concepts in classical statistics (point estimation, interval estimation, hypothesis testing) and the main techniques in likelihood-based inference. •Detailed introduction to Bayesian statistics and associated topics. •Practical illustration of some of the main computational methods used in modern statistical inference (simulation, boostrap, MCMC). This book is for students who have already completed a first course in probability and statistics, and now wish to deepen and broaden their understanding of the subject. It can serve as a foundation for advanced undergraduate or postgraduate courses. Our aim is to challenge and excite the more mathematically able students, while providing explanations of statistical concepts that are more detailed and approachable than those in advanced texts. This book is also useful for data scientists, researchers, and other applied practitioners who want to understand the theory behind the statistical methods used in their fields.
Author : Robert Bartoszynski,Magdalena Niewiadomska-Bugaj
Publisher : John Wiley & Sons
Page : 672 pages
File Size : 45,6 Mb
Release : 2007-11-16
Category : Mathematics
ISBN : 0470191589
Now updated in a valuable new edition—this user-friendly book focuses on understanding the "why" of mathematical statistics Probability and Statistical Inference, Second Edition introduces key probability and statis-tical concepts through non-trivial, real-world examples and promotes the developmentof intuition rather than simple application. With its coverage of the recent advancements in computer-intensive methods, this update successfully provides the comp-rehensive tools needed to develop a broad understanding of the theory of statisticsand its probabilistic foundations. This outstanding new edition continues to encouragereaders to recognize and fully understand the why, not just the how, behind the concepts,theorems, and methods of statistics. Clear explanations are presented and appliedto various examples that help to impart a deeper understanding of theorems and methods—from fundamental statistical concepts to computational details. Additional features of this Second Edition include: A new chapter on random samples Coverage of computer-intensive techniques in statistical inference featuring Monte Carlo and resampling methods, such as bootstrap and permutation tests, bootstrap confidence intervals with supporting R codes, and additional examples available via the book's FTP site Treatment of survival and hazard function, methods of obtaining estimators, and Bayes estimating Real-world examples that illuminate presented concepts Exercises at the end of each section Providing a straightforward, contemporary approach to modern-day statistical applications, Probability and Statistical Inference, Second Edition is an ideal text for advanced undergraduate- and graduate-level courses in probability and statistical inference. It also serves as a valuable reference for practitioners in any discipline who wish to gain further insight into the latest statistical tools.
Author : Nitis Mukhopadhyay
Publisher : CRC Press
Page : 694 pages
File Size : 44,8 Mb
Release : 2020-08-30
Category : Mathematics
ISBN : 9781000291551
Priced very competitively compared with other textbooks at this level! This gracefully organized textbook reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, numerous figures and tables, and computer simulations to develop and illustrate concepts. Beginning wi
Author : B. L. S. Prakasa Rao
Publisher : Unknown
Page : 458 pages
File Size : 41,7 Mb
Release : 1987-01-16
Category : Mathematics
ISBN : UOM:39015046271048
Probability and stochastic processes; Limit theorems for some statistics; Asymptotic theory of estimation; Linear parametric inference; Martingale approach to inference; Inference in nonlinear regression; Von mises functionals; Empirical characteristic function and its applications.
Author : George Casella,Roger Berger
Publisher : CRC Press
Page : 1746 pages
File Size : 54,9 Mb
Release : 2024-05-23
Category : Mathematics
ISBN : 9781040024027
This classic textbook builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and natural extensions, and consequences, of previous concepts. It covers all topics from a standard inference course including: distributions, random variables, data reduction, point estimation, hypothesis testing, and interval estimation. Features The classic graduate-level textbook on statistical inference Develops elements of statistical theory from first principles of probability Written in a lucid style accessible to anyone with some background in calculus Covers all key topics of a standard course in inference Hundreds of examples throughout to aid understanding Each chapter includes an extensive set of graduated exercises Statistical Inference, Second Edition is primarily aimed at graduate students of statistics, but can be used by advanced undergraduate students majoring in statistics who have a solid mathematics background. It also stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures, while less focused on formal optimality considerations. This is a reprint of the second edition originally published by Cengage Learning, Inc. in 2001.
Author : Harold Adolph Freeman
Publisher : Unknown
Page : 472 pages
File Size : 45,7 Mb
Release : 1963
Category : Mathematics
ISBN : UOM:39015068298325
Author : James H. Stapleton
Publisher : John Wiley & Sons
Page : 466 pages
File Size : 49,5 Mb
Release : 2007-12-14
Category : Mathematics
ISBN : 9780470183403
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.
Author : Masanobu Taniguchi,Yoshihide Kakizawa
Publisher : Springer Science & Business Media
Page : 671 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461211624
The primary aim of this book is to provide modern statistical techniques and theory for stochastic processes. The stochastic processes mentioned here are not restricted to the usual AR, MA, and ARMA processes. A wide variety of stochastic processes, including non-Gaussian linear processes, long-memory processes, nonlinear processes, non-ergodic processes and diffusion processes are described. The authors discuss estimation and testing theory and many other relevant statistical methods and techniques.
Author : J.G. Kalbfleisch
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210962
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 : William Leonard Harper,Clifford Alan Hooker
Publisher : Unknown
Page : 128 pages
File Size : 48,8 Mb
Release : 1987
Category : Electronic
ISBN : OCLC:38404020
Author : Aris Spanos
Publisher : Cambridge University Press
Page : 848 pages
File Size : 42,7 Mb
Release : 1999-09-02
Category : Business & Economics
ISBN : 0521424089
This major new textbook is intended for students taking introductory courses in Probability Theory and Statistical Inference. The primary objective of this book is to establish the framework for the empirical modelling of observational (non-experimental) data. The text is extremely student-friendly, with pathways designed for semester usage, and although aimed primarily at students at second-year undergraduate level and above studying econometrics and economics, Probability Theory and Statistical Inference will also be useful for students in other disciplines which make extensive use of observational data, including Finance, Biology, Sociology and Psychology.
Author : Christopher G. Small,Don L. McLeish
Publisher : John Wiley & Sons
Page : 268 pages
File Size : 53,8 Mb
Release : 2011-09-15
Category : Mathematics
ISBN : 9781118165539
Explains how Hilbert space techniques cross the boundaries into the foundations of probability and statistics. Focuses on the theory of martingales stochastic integration, interpolation and density estimation. Includes a copious amount of problems and examples.
