Statistical Theory
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Statistical Theory
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Author : Felix Abramovich
language : en
Publisher: CRC Press
Release Date : 2022-12-23
Statistical Theory written by Felix Abramovich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-23 with Mathematics categories.
Designed for a one-semester advanced undergraduate or graduate statistical theory course, Statistical Theory: A Concise Introduction, Second Edition clearly explains the underlying ideas, mathematics, and principles of major statistical concepts, including parameter estimation, confidence intervals, hypothesis testing, asymptotic analysis, Bayesian inference, linear models, nonparametric statistics, and elements of decision theory. It introduces these topics on a clear intuitive level using illustrative examples in addition to the formal definitions, theorems, and proofs. Based on the authors’ lecture notes, the book is self-contained, which maintains a proper balance between the clarity and rigor of exposition. In a few cases, the authors present a "sketched" version of a proof, explaining its main ideas rather than giving detailed technical mathematical and probabilistic arguments. Features: Second edition has been updated with a new chapter on Nonparametric Estimation; a significant update to the chapter on Statistical Decision Theory; and other updates throughout No requirement for heavy calculus, and simple questions throughout the text help students check their understanding of the material Each chapter also includes a set of exercises that range in level of difficulty Self-contained, and can be used by the students to understand the theory Chapters and sections marked by asterisks contain more advanced topics and may be omitted Special chapters on linear models and nonparametric statistics show how the main theoretical concepts can be applied to well-known and frequently used statistical tools The primary audience for the book is students who want to understand the theoretical basis of mathematical statistics—either advanced undergraduate or graduate students. It will also be an excellent reference for researchers from statistics and other quantitative disciplines.
Statistical Theory
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Author : Bernard Lindgren
language : en
Publisher: Routledge
Release Date : 2017-11-22
Statistical Theory written by Bernard Lindgren and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
This classic textbook is suitable for a first course in the theory of statistics for students with a background in calculus, multivariate calculus, and the elements of matrix algebra.
Statistical Theory And Modelling
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Author : D.V. Hinkley
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1991
Statistical Theory And Modelling written by D.V. Hinkley and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Statistical Theory and Modelling is a celebration of the work of Sir David Cox, FRS, and reflects his many interests in statistical theory and methods. It is a series of review articles, intended as an introduction to a variety of topics suitable for the graduate student and practicing statistician. Many of the topics are the subject of book-length treatments by Sir David and authors of this volume. Each chapter leads to a larger literature. Topics range the breadth of statistics and include modern degvelopments in statistical theory and methods. Special topics covered are generalized linear models, residuals and diagnostics, survival analysis, sequential analysis, time series, stochastic modelling of spatial data, design of experiments, likelihood inference and statistical approximation.
Introduction To Statistical Theory
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Author : Paul G. Hoel
language : en
Publisher: Brooks Cole
Release Date : 1971
Introduction To Statistical Theory written by Paul G. Hoel and has been published by Brooks Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Exercises And Solutions In Statistical Theory
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Author : Lawrence L. Kupper
language : en
Publisher: CRC Press
Release Date : 2013-06-24
Exercises And Solutions In Statistical Theory written by Lawrence L. Kupper and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-24 with Mathematics categories.
Exercises and Solutions in Statistical Theory helps students and scientists obtain an in-depth understanding of statistical theory by working on and reviewing solutions to interesting and challenging exercises of practical importance. Unlike similar books, this text incorporates many exercises that apply to real-world settings and provides much mor
Statistical Theory
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Author : Anders Hald
language : en
Publisher:
Release Date : 1952
Statistical Theory written by Anders Hald and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Engineering categories.
Fundamental calculus of probabilities -- Some fundamental applications of the calculus of probabilities -- Graphical and tabular representation of observations -- Definitions and fundamental properties of empirical distributions -- Definitions and fundamental properties of theoretical distributions -- The normal distribution -- Skew distributions -- Some limit theorems and sampling distributions -- The distribution of the mean -- The X2-distribution -- The distribution of the variance -- The distribution of the range -- Statistical control -- The distribution of the variance ratio -- The t-distribution -- Analysis of variance -- Designs of sampling investigations and experiments -- Linear regression analysis with one independent variable -- The two-dimensional normal distribution -- Multi-dimensional correlation and regression -- The binomial distribution -- The poisson distribution -- The multinomial distribution and the X2-test -- Sequential analysis -- The main points of a statistical analysis.
Statistical Theory And Inference
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Author : David J. Olive
language : en
Publisher: Springer
Release Date : 2014-05-07
Statistical Theory And Inference written by David J. Olive and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-07 with Mathematics categories.
This text is for a one semester graduate course in statistical theory and covers minimal and complete sufficient statistics, maximum likelihood estimators, method of moments, bias and mean square error, uniform minimum variance estimators and the Cramer-Rao lower bound, an introduction to large sample theory, likelihood ratio tests and uniformly most powerful tests and the Neyman Pearson Lemma. A major goal of this text is to make these topics much more accessible to students by using the theory of exponential families. Exponential families, indicator functions and the support of the distribution are used throughout the text to simplify the theory. More than 50 ``brand name" distributions are used to illustrate the theory with many examples of exponential families, maximum likelihood estimators and uniformly minimum variance unbiased estimators. There are many homework problems with over 30 pages of solutions.
Statistical Theory Of Extreme Values And Some Practical Applications
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Author : Emil Julius Gumbel
language : en
Publisher:
Release Date : 1954
Statistical Theory Of Extreme Values And Some Practical Applications written by Emil Julius Gumbel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Mathematical statistics categories.
Foundations Of Probability Theory Statistical Inference And Statistical Theories Of Science
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Author : W.L. Harper
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Probability Theory Statistical Inference And Statistical Theories Of Science written by W.L. Harper and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In May of 1973 we organized an international research colloquium on foundations of probability, statistics, and statistical theories of science at the University of Western Ontario. During the past four decades there have been striking formal advances in our understanding of logic, semantics and algebraic structure in probabilistic and statistical theories. These advances, which include the development of the relations between semantics and metamathematics, between logics and algebras and the algebraic-geometrical foundations of statistical theories (especially in the sciences), have led to striking new insights into the formal and conceptual structure of probability and statistical theory and their scientific applications in the form of scientific theory. The foundations of statistics are in a state of profound conflict. Fisher's objections to some aspects of Neyman-Pearson statistics have long been well known. More recently the emergence of Bayesian statistics as a radical alternative to standard views has made the conflict especially acute. In recent years the response of many practising statisticians to the conflict has been an eclectic approach to statistical inference. Many good statisticians have developed a kind of wisdom which enables them to know which problems are most appropriately handled by each of the methods available. The search for principles which would explain why each of the methods works where it does and fails where it does offers a fruitful approach to the controversy over foundations.
Statistical Theory
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Author : Felix Abramovich
language : en
Publisher: CRC Press
Release Date : 2022-12-23
Statistical Theory written by Felix Abramovich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-23 with Mathematics categories.
Designed for a one-semester advanced undergraduate or graduate statistical theory course, Statistical Theory: A Concise Introduction, Second Edition clearly explains the underlying ideas, mathematics, and principles of major statistical concepts, including parameter estimation, confidence intervals, hypothesis testing, asymptotic analysis, Bayesian inference, linear models, nonparametric statistics, and elements of decision theory. It introduces these topics on a clear intuitive level using illustrative examples in addition to the formal definitions, theorems, and proofs. Based on the authors’ lecture notes, the book is self-contained, which maintains a proper balance between the clarity and rigor of exposition. In a few cases, the authors present a "sketched" version of a proof, explaining its main ideas rather than giving detailed technical mathematical and probabilistic arguments. Features: Second edition has been updated with a new chapter on Nonparametric Estimation; a significant update to the chapter on Statistical Decision Theory; and other updates throughout No requirement for heavy calculus, and simple questions throughout the text help students check their understanding of the material Each chapter also includes a set of exercises that range in level of difficulty Self-contained, and can be used by the students to understand the theory Chapters and sections marked by asterisks contain more advanced topics and may be omitted Special chapters on linear models and nonparametric statistics show how the main theoretical concepts can be applied to well-known and frequently used statistical tools The primary audience for the book is students who want to understand the theoretical basis of mathematical statistics—either advanced undergraduate or graduate students. It will also be an excellent reference for researchers from statistics and other quantitative disciplines.