mathematical statistics a unified introduction springer texts in statistics

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Mathematical Statistics

Author : George R. Terrell
ISBN : 9780387227696
Genre : Mathematics
File Size : 59. 82 MB
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This textbook introduces the mathematical concepts and methods that underlie statistics. The course is unified, in the sense that no prior knowledge of probability theory is assumed, being developed as needed. The book is committed to both a high level of mathematical seriousness and to an intimate connection with application. In its teaching style, the book is * mathematically complete * concrete * constructive * active. The text is aimed at the upper undergraduate or the beginning Masters program level. It assumes the usual two-year college mathematics sequence, including an introduction to multiple integrals, matrix algebra, and infinite series.

Plane Answers To Complex Questions

Author : Ronald Christensen
ISBN : 9781441998163
Genre : Mathematics
File Size : 76. 77 MB
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This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data. The author's emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection. This new edition includes a more extensive discussion of best prediction and associated ideas of R2, as well as new sections on inner products and perpendicular projections for more general spaces and Milliken and Graybill’s generalization of Tukey’s one degree of freedom for nonadditivity test.

Basics Of Modern Mathematical Statistics

Author : Vladimir Spokoiny
ISBN : 9783642399091
Genre : Mathematics
File Size : 85. 77 MB
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This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods.

Monte Carlo Statistical Methods

Author : Christian Robert
ISBN : 9781475741452
Genre : Mathematics
File Size : 62. 91 MB
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We have sold 4300 copies worldwide of the first edition (1999). This new edition contains five completely new chapters covering new developments.

Introduction To Empirical Processes And Semiparametric Inference

Author : Michael R. Kosorok
ISBN : 0387749780
Genre : Mathematics
File Size : 84. 79 MB
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Kosorok’s brilliant text provides a self-contained introduction to empirical processes and semiparametric inference. These powerful research techniques are surprisingly useful for developing methods of statistical inference for complex models and in understanding the properties of such methods. This is an authoritative text that covers all the bases, and also a friendly and gradual introduction to the area. The book can be used as research reference and textbook.

Introduction To Graphical Modelling

Author : David Edwards
ISBN : 0387950540
Genre : Computers
File Size : 84. 27 MB
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Graphical modeling is a form of multivariate analysis that uses graphs to represent models. These graphs display the structure of dependencies between the variables in the model. This book provides an introduction to graphical modeling with emphasis on applications and practicalities. It is based on the popular software package for graphical modeling, MIM, a freeware version of which can be downloaded from the Internet. This second edition includes new chapters on the use of directed graphs, chain graphs, and other graphs, as well as recent work on causal inference.

Mathematical Statistics Exercises And Solutions

Author : Jun Shao
ISBN : 9780387282763
Genre : Mathematics
File Size : 44. 58 MB
Format : PDF
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The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics. Can also be used as a stand-alone because exercises and solutions are comprehensible independently of their source, and notation and terminology are explained in the front of the book. Suitable for self-study for a statistics Ph.D. qualifying exam.

Statistical Analysis And Data Display

Author : Richard M. Heiberger
ISBN : 9781475742848
Genre : Mathematics
File Size : 30. 42 MB
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This presentation of statistical methods features extensive use of graphical displays for exploring data and for displaying the analysis. The authors demonstrate how to analyze data—showing code, graphics, and accompanying computer listings. They emphasize how to construct and interpret graphs, discuss principles of graphical design, and show how tabular results are used to confirm the visual impressions derived from the graphs. Many of the graphical formats are novel and appear here for the first time in print.

Probability Theory

Author : Yuan Shih Chow
ISBN : 0387406077
Genre : Mathematics
File Size : 36. 7 MB
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Now in paperback, this text covers major theorems of probability theory and the measure theoretical foundations of the subject. Main topics treated are independence, interchangeability, and martingales, with special emphasis on stopping time, both as tools in proving theorems and as objects of interest themselves. This edition contains much new material, such as U-statistic, additional theorems and examples, and simpler versions of some proofs.


Author : Kenneth Lange
ISBN : 9781475741827
Genre : Mathematics
File Size : 30. 23 MB
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Lange is a Springer author of other successful books. This is the first book that emphasizes the applications of optimization to statistics. The emphasis on statistical applications will be especially appealing to graduate students of statistics and biostatistics.

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