Books about Asymptotics from Amazon.com

This graduate text provides an intuitive but rigorous treatment of contemporary methods used in microeconometric research. The book makes clear that applied microeconometrics is about the estimation of marginal and treatment effects, and that parametric estimation is simply a means to this end. It also clarifies the distinction between causality and statistical association.

The book focuses specifically on cross section and panel data methods. Population assumptions are stated separately from sampling assumptions, leading to simple statements as well as to important insights. The unified approach to linear and nonlinear models and to cross section and panel data enables straightforward coverage of more advanced methods. The numerous end-of-chapter problems are an important component of the book. Some problems contain important points not fully described in the text, and others cover new ideas that can be analyzed using tools presented in the current and previous chapters. Several problems require the use of the data sets included with the book..
Price: $62.32 [Notify me when price goes down.]

This is the essential companion to Jeffrey Wooldridge's widely-used graduate text Econometric Analysis of Cross Section and Panel Data (MIT Press, 2001). Already established as a leading graduate econometrics text, the book offers an intuitive yet rigorous treatment of two methods used in econometric research, cross section and panel data techniques. The numerous end-of-chapter problems are an important component of the book, encouraging the student to use the analytical tools presented in the text. This manual contains answers to selected problems, new examples, and supplementary materials designed by the author. Users of the textbook will find the manual a necessary adjunct to the book..
Price: $24.25 [Notify me when price goes down.]

Here is a practical and mathematically rigorous introduction to the field of asymptotic statistics. In addition to most of the standard topics of an asymptotics course--likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures--the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, one of the book's unifying themes that mainly entails the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation..
Price: $30.00 [Notify me when price goes down.]

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The presentation is aimed at teaching the insights that are most useful in approaching new problems; it avoids special methods and tricks that work only for particular problems, such as the traditional transcendental functions.

Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables.

The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions..
Price: $66.53 [Notify me when price goes down.]

This book is an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. The book has 34 chapters over a wide range of topics, nearly 600 exercises for practice and instruction, and another 300 worked out examples. It also includes a large compendium of 300 useful inequalities on probability, linear algebra, and analysis that are collected together from numerous sources, as an invaluable reference for researchers in statistics, probability, and mathematics.

It can be used as a graduate text, as a versatile research reference, as a source for independent reading on a wide assembly of topics, and as a window to learning the latest developments in contemporary topics. The book is unique in its detailed coverage of fundamental topics such as central limit theorems in numerous setups, likelihood based methods, goodness of fit, higher order asymptotics, as well as of the most modern topics such as the bootstrap, dependent data, Bayesian asymptotics, nonparametric density estimation, mixture models, and multiple testing and false discovery. It provides extensive bibliographic references on all topics that include very recent publications.

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Price: $62.91 [Notify me when price goes down.]

This book provides a self-contained, linear, and unified 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. The targeted audience includes statisticians, biostatisticians, and other researchers with a background in mathematical statistics who have an interest in learning about and doing research in empirical processes and semiparametric inference but who would like to have a friendly and gradual introduction to the area. The book can be used either as a research reference or as a textbook. The level of the book is suitable for a second year graduate course in statistics or biostatistics, provided the students have had a year of graduate level mathematical statistics and a semester of probability.

The book consists of three parts. The first part is a concise overview of all of the main concepts covered in the book with a minimum of technicalities. The second and third parts cover the two respective main topics of empirical processes and semiparametric inference in depth. The connections between these two topics is also demonstrated and emphasized throughout the text. Each part has a final chapter with several case studies that use concrete examples to illustrate the concepts developed so far. The last two parts also each include a chapter which covers the needed mathematical preliminaries. Each main idea is introduced with a non-technical motivation, and examples are given throughout to illustrate important concepts. Homework problems are also included at the end of each chapter to help the reader gain additional insights.

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Price: $65.94 [Notify me when price goes down.]

A Course in Large Sample Theory is presented in four parts. The first treats basic probabilistic notions, the second features the basic statistical tools for expanding the theory, the third contains special topics as applications of the general theory, and the fourth covers more standard statistical topics. Nearly all topics are covered in their multivariate setting.The book is intended as a first year graduate course in large sample theory for statisticians. It has been used by graduate students in statistics, biostatistics, mathematics, and related fields. Throughout the book there are many examples and exercises with solutions. It is an ideal text for self study..
Price: $80.95 [Notify me when price goes down.]

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists.
Currently available in the Series:

T. W. Anderson
The Statistical Analysis of Time Series
T. S. Arthanari & Yadolah Dodge
Mathematical Programming in Statistics
Emil Artin
Geometric Algebra
Norman T. J. Bailey
The Elements of Stochastic Processes
with Applications to the Natural Sciences
Robert G. Bartle
The Elements of Integration and
Lebesgue Measure
George E. P. Box & Norman R. Draper
Evolutionary Operation: A Statistical Method for Process Improvement
George E. P. Box & George C. Tiao
Bayesian Inference in Statistical Analysis
R. W. Carter
Finite Groups of Lie Type: Conjugacy Classes
and Complex Characters
R. W. Carter
Simple Groups of Lie Type
William G. Cochran & Gertrude M. Cox
Experimental Designs, Second Edition
Richard Courant
Differential and Integral Calculus, Volume I
RIchard Courant
Differential and Integral Calculus, Volume II
Richard Courant & D. Hilbert
Methods of Mathematical Physics, Volume I
Richard Courant & D. Hilbert
Methods of Mathematical Physics, Volume II

D. R. Cox
Planning of Experiments
Harold S. M. Coxeter
Introduction to Geometry, Second Edition
Charles W. Curtis & Irving Reiner
Representation Theory of Finite Groups and
Associative Algebras
Charles W. Curtis & Irving Reiner
Methods of Representation Theory
with Applications to Finite Groups
and Orders, Volume I
Charles W. Curtis & Irving Reiner
Methods of Representation Theory
with Applications to Finite Groups
and Orders, Volume II
Cuthbert Daniel
Fitting Equations to Data: Computer Analysis of
Multifactor Data, Second Edition
Bruno de Finetti
Theory of Probability, Volume I
Bruno de Finetti
Theory of Probability, Volume 2
W. Edwards Deming
Sample Design in Business Research .
Price: $41.98 [Notify me when price goes down.]

This book is a revised and updated version, including a substantial portion of new material, of the authors' widely acclaimed earlier text "Perturbation Methods in Applied Mathematics". A new chapter dealing with regular expansions has been added, the discussion of layer-type singular perturbations has been revised, and the coverage of multiple scale and averaging methods has been significantly expanded to reflect recent advances and viewpoints. The result is a comprehensive account of the various perturbation techniques currently used in the sciences and engineering, and is suitable for a graduate text as well as a reference work on the subject..
Price: $78.00 [Notify me when price goes down.]