theory and methods of statistics

Theory And Methods Of Statistics
Author: P.K. Bhattacharya
Publisher: Academic Press
Release Date: 2016-06-23
Pages: 544
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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

Robust Statistics
Author: Ricardo A. Maronna
Publisher: Wiley
Release Date: 2006-05-12
Pages: 436
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Classical statistical techniques fail to cope well with deviations from a standard distribution. Robust statistical methods take into account these deviations while estimating the parameters of parametric models, thus increasing the accuracy of the inference. Research into robust methods is flourishing, with new methods being developed and different applications considered. Robust Statistics sets out to explain the use of robust methods and their theoretical justification. It provides an up-to-date overview of the theory and practical application of the robust statistical methods in regression, multivariate analysis, generalized linear models and time series. This unique book: Enables the reader to select and use the most appropriate robust method for their particular statistical model. Features computational algorithms for the core methods. Covers regression methods for data mining applications. Includes examples with real data and applications using the S-Plus robust statistics library. Describes the theoretical and operational aspects of robust methods separately, so the reader can choose to focus on one or the other. Supported by a supplementary website featuring time-limited S-Plus download, along with datasets and S-Plus code to allow the reader to reproduce the examples given in the book. Robust Statistics aims to stimulate the use of robust methods as a powerful tool to increase the reliability and accuracy of statistical modelling and data analysis. It is ideal for researchers, practitioners and graduate students of statistics, electrical, chemical and biochemical engineering, and computer vision. There is also much to benefit researchers from other sciences, such as biotechnology, who need to use robust statistical methods in their work.

Bayes Linear Statistics
Author: Michael Goldstein
Publisher: John Wiley & Sons
Release Date: 2007-04-30
Pages: 536
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Bayesian methods combine information available from data with any prior information available from expert knowledge. The Bayes linear approach follows this path, offering a quantitative structure for expressing beliefs, and systematic methods for adjusting these beliefs, given observational data. The methodology differs from the full Bayesian methodology in that it establishes simpler approaches to belief specification and analysis based around expectation judgements. Bayes Linear Statistics presents an authoritative account of this approach, explaining the foundations, theory, methodology, and practicalities of this important field. The text provides a thorough coverage of Bayes linear analysis, from the development of the basic language to the collection of algebraic results needed for efficient implementation, with detailed practical examples. The book covers: The importance of partial prior specifications for complex problems where it is difficult to supply a meaningful full prior probability specification. Simple ways to use partial prior specifications to adjust beliefs, given observations. Interpretative and diagnostic tools to display the implications of collections of belief statements, and to make stringent comparisons between expected and actual observations. General approaches to statistical modelling based upon partial exchangeability judgements. Bayes linear graphical models to represent and display partial belief specifications, organize computations, and display the results of analyses. Bayes Linear Statistics is essential reading for all statisticians concerned with the theory and practice of Bayesian methods. There is an accompanying website hosting free software and guides to the calculations within the book.

Statistics
Author: Donald A. Berry
Publisher: Duxbury Resource Center
Release Date: 1996
Pages: 702
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

1. Probability 2. Discrete Random Variables 3. Averages 4. Bernoulli and Related Variables 5. Continuous Random Variables 6. Families of Continuous Distributions 7. Organizing and Describing Data 8. Samples, Statistics, and Sampling Distributions 9. Estimation 10. Significance Testing 11. Tests as Decision Rules 12. Comparing Two Populations 13. Goodness of Fit 14. Analysis of Variance 15. Regression

Criminology And Criminal Justice
Author: Maddan
Publisher: Jones & Bartlett Publishers
Release Date: 2010-10-22
Pages: 120
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

It is commonly recognized that the basis of science stems from the intersection of theory, research methods, and statistics. Criminology and Criminal Justice: Theory, Research Methods, and Statistics is designed to help readers understand the integrated relationship between these critical topics in the field of Criminal Justice. Each chapter pertains to a particular criminological theory, relevant qualitative and quantitative research methodologies, and various statistical techniques used to analyze data. This accessible text illustrates how theory, methods, and statistics play an active role in ensuing careers in law enforcement, corrections, law, and more.

Statistics
Author: M. Afzal Beg
Publisher:
Release Date: 1983
Pages:
ISBN:
Available Language: English, Spanish, And French
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Learning From Data
Author: Vladimir Cherkassky
Publisher: John Wiley & Sons
Release Date: 2007-09-10
Pages: 560
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

An interdisciplinary framework for learning methodologies—covering statistics, neural networks, and fuzzy logic, this book provides a unified treatment of the principles and methods for learning dependencies from data. It establishes a general conceptual framework in which various learning methods from statistics, neural networks, and fuzzy logic can be applied—showing that a few fundamental principles underlie most new methods being proposed today in statistics, engineering, and computer science. Complete with over one hundred illustrations, case studies, and examples making this an invaluable text.

Statistical Hypothesis Testing
Author: Ning-Zhong Shi
Publisher: World Scientific
Release Date: 2008
Pages: 307
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This book presents up-to-date theory and methods of statistical hypothesis testing based on measure theory. The so-called statistical space is a measurable space adding a family of probability measures. Most topics in the book will be developed based on this term. The book includes some typical data sets, such as the relation between race and the death penalty verdict, the behavior of food intake of two kinds of Zucker rats, and the per capita income and expenditure in China during the 1978?2002 period. Emphasis is given to the process of finding appropriate statistical techniques and methods of evaluating these techniques.

Essential Statistical Inference
Author: Dennis D. Boos
Publisher: Springer Science & Business Media
Release Date: 2013-02-06
Pages: 568
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

​This book is for students and researchers who have had a first year graduate level mathematical statistics course. It covers classical likelihood, Bayesian, and permutation inference; an introduction to basic asymptotic distribution theory; and modern topics like M-estimation, the jackknife, and the bootstrap. R code is woven throughout the text, and there are a large number of examples and problems. An important goal has been to make the topics accessible to a wide audience, with little overt reliance on measure theory. A typical semester course consists of Chapters 1-6 (likelihood-based estimation and testing, Bayesian inference, basic asymptotic results) plus selections from M-estimation and related testing and resampling methodology. Dennis Boos and Len Stefanski are professors in the Department of Statistics at North Carolina State. Their research has been eclectic, often with a robustness angle, although Stefanski is also known for research concentrated on measurement error, including a co-authored book on non-linear measurement error models. In recent years the authors have jointly worked on variable selection methods. ​

Sampling Theory And Methods
Author: S. Sampath
Publisher: CRC Press
Release Date: 2001
Pages: 184
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

"The book presents in detail several sampling schemes like simple random sampling, unequal probability sampling methods, systematic, stratified, cluster and multistage sampling. In addition to sampling schemes several estimating methods which include ratio and regression estimators are also discussed. The use of superpopulation models is also covered in detail. Some recent developments which include estimation of distribution functions, adaptive sampling schemes etc. are also presented."--BOOK JACKET.

Nonparametric Statistics  Theory And Methods
Author: Jayant V Deshpande
Publisher: World Scientific
Release Date: 2017-10-17
Pages: 280
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

The number of books on Nonparametric Methodology is quite small as compared to, say, on Design of Experiments, Regression Analysis, Multivariate Analysis, etc. Because of being perceived as less effective, nonparametric methods are still the second choice. Actually, it has been demonstrated time and again that they are useful. We feel that there is still need for proper texts/applications/reference books on Nonparametric Methodology.This book will introduce various types of data encountered in practice and suggest the appropriate nonparametric methods, discuss their properties through null and non-null distributions whenever possible and demonstrate the very minor loss in power and efficiency in the nonparametric method, if any.The book will cover almost all topics of current interest such as bootstrapping, ranked set sampling, techniques for censored data and Bayesian analysis under nonparametric set ups.

Statistical Methods In Molecular Evolution
Author: Rasmus Nielsen
Publisher: Springer Science & Business Media
Release Date: 2005-04-21
Pages: 505
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

In the field of molecular evolution, inferences about past evolutionary events are made using molecular data from currently living species. With the availability of genomic data from multiple related species, molecular evolution has become one of the most active and fastest growing fields of study in genomics and bioinformatics. Most studies in molecular evolution rely heavily on statistical procedures based on stochastic process modelling and advanced computational methods including high-dimensional numerical optimization and Markov Chain Monte Carlo. This book provides an overview of the statistical theory and methods used in studies of molecular evolution. It includes an introductory section suitable for readers that are new to the field, a section discussing practical methods for data analysis, and more specialized sections discussing specific models and addressing statistical issues relating to estimation and model choice. The chapters are written by the leaders of field and they will take the reader from basic introductory material to the state-of-the-art statistical methods. This book is suitable for statisticians seeking to learn more about applications in molecular evolution and molecular evolutionary biologists with an interest in learning more about the theory behind the statistical methods applied in the field. The chapters of the book assume no advanced mathematical skills beyond basic calculus, although familiarity with basic probability theory will help the reader. Most relevant statistical concepts are introduced in the book in the context of their application in molecular evolution, and the book should be accessible for most biology graduate students with an interest in quantitative methods and theory. Rasmus Nielsen received his Ph.D. form the University of California at Berkeley in 1998 and after a postdoc at Harvard University, he assumed a faculty position in Statistical Genomics at Cornell University. He is currently an Ole Rømer Fellow at the University of Copenhagen and holds a Sloan Research Fellowship. His is an associate editor of the Journal of Molecular Evolution and has published more than fifty original papers in peer-reviewed journals on the topic of this book. From the reviews: "...Overall this is a very useful book in an area of increasing importance." Journal of the Royal Statistical Society "I find Statistical Methods in Molecular Evolution very interesting and useful. It delves into problems that were considered very difficult just several years ago...the book is likely to stimulate the interest of statisticians that are unaware of this exciting field of applications. It is my hope that it will also help the 'wet lab' molecular evolutionist to better understand mathematical and statistical methods." Marek Kimmel for the Journal of the American Statistical Association, September 2006 "Who should read this book? We suggest that anyone who deals with molecular data (who does not?) and anyone who asks evolutionary questions (who should not?) ought to consult the relevant chapters in this book." Dan Graur and Dror Berel for Biometrics, September 2006 "Coalescence theory facilitates the merger of population genetics theory with phylogenetic approaches, but still, there are mostly two camps: phylogeneticists and population geneticists. Only a few people are moving freely between them. Rasmus Nielsen is certainly one of these researchers, and his work so far has merged many population genetic and phylogenetic aspects of biological research under the umbrella of molecular evolution. Although Nielsen did not contribute a chapter to his book, his work permeates all its chapters. This book gives an overview of his interests and current achievements in molecular evolution. In short, this book should be on your bookshelf." Peter Beerli for Evolution, 60(2), 2006

Mathematical Methods Of Statistics
Author: Harald Cramér
Publisher: Princeton University Press
Release Date: 1999-04-12
Pages: 575
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance.

Algebraic Methods In Statistical Mechanics And Quantum Field Theory
Author: Dr. Gérard G. Emch
Publisher: Courier Corporation
Release Date: 2014-08-04
Pages: 352
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.

Statistical Methods For Organizational Research
Author: Chris Dewberry
Publisher: Psychology Press
Release Date: 2004
Pages: 340
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

'Statistical Methods for Organizational Research' provides a theoretical and practical introduction to the subject for students, researchers and practitioners involved in quantitative research.

Smoothing Methods In Statistics
Author: Jeffrey S. Simonoff
Publisher: Springer Science & Business Media
Release Date: 1996-06-06
Pages: 338
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This book surveys the uses of smoothing methods in statistics. The coverage has an applied focus, and is very broad, including simple and complex univariate and multivariate density estimation, nonparametric regression estimation, categorical data smoothing, and applications of smoothing to other areas of statistics. The book will be of particular interest to data analysts, as arguments generally proceed from actual data rather than statistical theory. The "Background Material" sections will interest statisticians studying the area of smoothing methods. The list of over 750 references allows researchers to find the original sources for more details. The "Computational Issues" sections provide sources for statistical software that implements the discussed methods, including both commercial and non-commercial sources. The book can also be used as a textbook for a course in smoothing. Each chapter includes exercises with a heavily computational focus based upon the data sets used in the book. "It is an excellent reference to the field and has no rival in terms of accessibility, coverage, and utility."(Journal of the American Statistical Association) "This book provides an excellent overview of smoothing methods and concepts, presenting material in an intuitive manner with many interesting graphics...This book provides a handy reference for practicing statisticians and other data analysts. In addition, it is well organized as a classroom textbook." (Technometrics)

Asymptotic Theory For Bootstrap Methods In Statistics
Author: Rudolf J. Beran
Publisher: Centre De Recherches Mathematiques
Release Date: 1991
Pages: 81
ISBN:
Available Language: English, Spanish, And French
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Differential Geometrical Methods In Statistics
Author: Shun-ichi Amari
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Pages: 294
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

From the reviews: "In this Lecture Note volume the author describes his differential-geometric approach to parametrical statistical problems summarizing the results he had published in a series of papers in the last five years. The author provides a geometric framework for a special class of test and estimation procedures for curved exponential families. ... ... The material and ideas presented in this volume are important and it is recommended to everybody interested in the connection between statistics and geometry ..." #Metrika#1 "More than hundred references are given showing the growing interest in differential geometry with respect to statistics. The book can only strongly be recommended to a geodesist since it offers many new insights into statistics on a familiar ground." #Manuscripta Geodaetica#2

Statistical Decision Theory
Author: James Berger
Publisher: Springer Science & Business Media
Release Date: 2013-04-17
Pages: 428
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Decision theory is generally taught in one of two very different ways. When of opti taught by theoretical statisticians, it tends to be presented as a set of mathematical techniques mality principles, together with a collection of various statistical procedures. When useful in establishing the optimality taught by applied decision theorists, it is usually a course in Bayesian analysis, showing how this one decision principle can be applied in various practical situations. The original goal I had in writing this book was to find some middle ground. I wanted a book which discussed the more theoretical ideas and techniques of decision theory, but in a manner that was constantly oriented towards solving statistical problems. In particular, it seemed crucial to include a discussion of when and why the various decision prin ciples should be used, and indeed why decision theory is needed at all. This original goal seemed indicated by my philosophical position at the time, which can best be described as basically neutral. I felt that no one approach to decision theory (or statistics) was clearly superior to the others, and so planned a rather low key and impartial presentation of the competing ideas. In the course of writing the book, however, I turned into a rabid Bayesian. There was no single cause for this conversion; just a gradual realization that things seemed to ultimately make sense only when looked at from the Bayesian viewpoint.

Likelihood Methods In Statistics
Author: Thomas Alan Severini
Publisher: Peterson's
Release Date: 2000
Pages: 380
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Likelihood methods play a central role in statistical theory and methodology. Recently, a new approach to likelihood inference has been developed that often leads to substantial improvements over classical methods. This book gives a detailed introduction to this modern theory of likelihood methods.