matrix algebra theory computations and applications in statistics springer texts in statistics

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Matrix Algebra

Author : James E. Gentle
ISBN : 9780387708737
Genre : Mathematics
File Size : 51. 59 MB
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Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.

Information Criteria And Statistical Modeling

Author : Sadanori Konishi
ISBN : 0387718877
Genre : Mathematics
File Size : 34. 78 MB
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Statistical modeling is a critical tool in scientific research. This book provides comprehensive explanations of the concepts and philosophy of statistical modeling, together with a wide range of practical and numerical examples. The authors expect this work to be of great value not just to statisticians but also to researchers and practitioners in various fields of research such as information science, computer science, engineering, bioinformatics, economics, marketing and environmental science. It’s a crucial area of study, as statistical models are used to understand phenomena with uncertainty and to determine the structure of complex systems. They’re also used to control such systems, as well as to make reliable predictions in various natural and social science fields.

Statistics For Earth And Environmental Scientists

Author : John H. Schuenemeyer
ISBN : 9781118102213
Genre : Mathematics
File Size : 30. 28 MB
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A comprehensive treatment of statistical applications for solvingreal-world environmental problems A host of complex problems face today's earth science community,such as evaluating the supply of remaining non-renewable energyresources, assessing the impact of people on the environment,understanding climate change, and managing the use of water. Propercollection and analysis of data using statistical techniquescontributes significantly toward the solution of these problems.Statistics for Earth and Environmental Scientists presentsimportant statistical concepts through data analytic tools andshows readers how to apply them to real-world problems. The authors present several different statistical approaches tothe environmental sciences, including Bayesian and nonparametricmethodologies. The book begins with an introduction to types ofdata, evaluation of data, modeling and estimation, randomvariation, and sampling—all of which are explored throughcase studies that use real data from earth science applications.Subsequent chapters focus on principles of modeling and the keymethods and techniques for analyzing scientific data,including: Interval estimation and Methods for analyzinghypothesis testingof means time series data Spatial statistics Multivariate analysis Discrete distributions Experimental design Most statistical models are introduced by concept andapplication, given as equations, and then accompanied by heuristicjustification rather than a formal proof. Data analysis, modelbuilding, and statistical inference are stressed throughout, andreaders are encouraged to collect their own data to incorporateinto the exercises at the end of each chapter. Most data sets,graphs, and analyses are computed using R, but can be worked withusing any statistical computing software. A related websitefeatures additional data sets, answers to selected exercises, and Rcode for the book's examples. Statistics for Earth and Environmental Scientists is anexcellent book for courses on quantitative methods in geology,geography, natural resources, and environmental sciences at theupper-undergraduate and graduate levels. It is also a valuablereference for earth scientists, geologists, hydrologists, andenvironmental statisticians who collect and analyze data in theireveryday work.

Journal Of The American Statistical Association

Author :
ISBN : UOM:39015072641353
Genre : Statistics
File Size : 88. 56 MB
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Modern Multivariate Statistical Techniques

Author : Alan J. Izenman
ISBN : 0387781897
Genre : Mathematics
File Size : 71. 24 MB
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This is the first book on multivariate analysis to look at large data sets which describes the state of the art in analyzing such data. Material such as database management systems is included that has never appeared in statistics books before.

Theoretical Statistics

Author : Robert W. Keener
ISBN : 0387938397
Genre : Mathematics
File Size : 21. 13 MB
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Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the notation and basic results needed are presented in an initial chapter on probability, so prior knowledge of these topics is not essential. The presentation is designed to expose students to as many of the central ideas and topics in the discipline as possible, balancing various approaches to inference as well as exact, numerical, and large sample methods. Moving beyond more standard material, the book includes chapters introducing bootstrap methods, nonparametric regression, equivariant estimation, empirical Bayes, and sequential design and analysis. The book has a rich collection of exercises. Several of them illustrate how the theory developed in the book may be used in various applications. Solutions to many of the exercises are included in an appendix.

Amstat News

Author :
ISBN : UOM:39015059069131
Genre : Statistics
File Size : 64. 21 MB
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Mathematical Reviews

Author :
ISBN : UOM:39015078588608
Genre : Mathematics
File Size : 22. 55 MB
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Books In Print

Author : R.R. Bowker Company
ISBN : UOM:39015054035236
Genre : American literature
File Size : 48. 60 MB
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Linear Algebra

Author : Jin Ho Kwak
ISBN : 0817642943
Genre : Business & Economics
File Size : 28. 56 MB
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From a review of the first edition: "A logical development of the subject . . . all the important theorems and results are discussed in terms of simple worked examples. The student's understanding . . . is tested by problems at the end of each subsection, and every chapter ends with exercises." —CURRENT SCIENCE A cornerstone of undergraduate mathematics, science, and engineering, this clear and rigorous presentation of the fundamentals of linear algebra is unique in its emphasis and integration of computational skills and mathematical abstractions. The power and utility of this beautiful subject is demonstrated, in particular, in its focus on linear recurrence, difference and differential equations that affect applications in physics, computer science, and economics. Key topics and features: • Linear equations, matrices, determinants, vector spaces, complex vector spaces, inner products, Jordan canonical forms, and quadratic forms • Rich selection of examples and explanations, as well as a wide range of exercises at the end of every section • Selected answers and hints • Excellent index This second edition includes substantial revisions, new material on minimal polynomials and diagonalization, as well as a variety of new applications. The text will serve theoretical and applied courses and is ideal for self-study. With its important approach to linear algebra as a coherent part of mathematics and as a vital component of the natural and social sciences, Linear Algebra, Second Edition will challenge and benefit a broad audience.

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