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Econometric Analysis of Cross Section and Panel Data
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Jeffrey M Wooldridge
This text provides a 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 ...
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Asymptotic Statistics
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A. W. van der Vaart
This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent ...
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Asymptotic Expansions for Ordinary Differential Equations
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Wolfgang Richard Wasow
"A book of great value . . . it should have a profound influence upon future research."--"Mathematical Reviews." Hardcover edition. The foundations of the study of asymptotic series in the theory of differential equations were laid by Poincare in the late 19th century, but it was not until the middle of this century that it became apparent how ...
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Perturbation Methods in Applied Mathematics
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J Kevorkian, J D Cole
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Asymptotic Theory of Statistics and Probability
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Anirban DasGupta
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 ...
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Asymptotics in Statistics: Some Basic Concepts
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Lucien M Le Cam
This volume is the second edition of a work that presents a coherent introduction to the subject of asymptotic statistics as it has developed in the past 50 years. The second edition differs from the first in that it has been made more 'reader friendly'. It also includes a new chapter, Chapter 4, on Gaussian and Poisson experiments because of ...
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The Nonlinear Limit-Point/Limit-Circle Problem
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Miroslav Bartisek, Miroslav Bartusek, Zuzana Dosia
First posed by Hermann Weyl in 1910, the limit-point/limit-circle problem has inspired, over the last century, several new developments in the asymptotic analysis of nonlinear differential equations. This self-contained monograph traces the evolution of this problem from its inception to its modern-day extensions to the study of deficiency indices ...
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Ghobner Deformations of Hypergeometric Differential Equations, Volume 6
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Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama
In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Grobner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Grobner deformations of left ideals in the Weyl ...
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Multiple Scale and Singular Perturbation Methods
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J. Kevorkian, J. D. Cole
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 ...
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Some Asymptotic Problems in the Theory of Partial Differential Equations
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Olga Oleinik, Luigi A Radicati Di Brozolo (Editor)
In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more. It is in two parts, the first being devoted to the study of the asymptotic behaviour at infinity of solutions of a class of non-linear second order elliptic equations in ...
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Asymptotic methods in statistical decision theory
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Lucien M Le Cam
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Scattering Theory of Classical and Quantum N-Particle Systems
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Jan Derezinski, Christian Gerard
This monograph presents time-dependant methods for studying problems of scattering theory in classical and quantum mechanics. Particualar attention is paid to long-range potentials. For a large class of interactions, the existence of the asymptotic velocity and the asymtotic velocity and the asymtotic completeness of the wave operators is shown. ...
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The Complex Wkb Method for Nonlinear Equations I
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by
V P Maslov
When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto ...
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Borel-Laplace Transform and Asymptotic Theory: Introduction to Resurgent Analysis
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Jewgeni H Dshalalow, Victor E Shatalov, Boris Y Sternin
The resurgent function theory introduced by J. Ecalle is one of the most interesting theories in mathematical analysis. In essence, the theory provides a resummation method for divergent power series (e.g., asymptotic series), and allows this method to be applied to mathematical problems. This new book introduces the methods and ideas inherent in ...
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Asymptotic Behaviour of Soluti
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M I Vishik
The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. Locally asymptotic solutions of the Navier-Stokes equations and reaction-diffusion equations are the starting point, and by considering perturbed evolutionary equations, global approximations are constructed. The lectures upon which this book is ...
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Partial Differential Equations V
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M V Fedoryuk (Editor), N S Bakhvalov (Editor)
The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniques include the Maslov canonical operator, semiclassical asymptotics of solutions and eigenfunctions, behavior of solutions near singular points of different kinds, ...
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Asymptotics for Dissipative Nonlinear Equations
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Nakao Hayashi, Elena I Kaikina, Pavel I Naumkin
Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic ...
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Multi- Scale Modeling for Structures and Composites
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by
G Panasenko
Rod structures are widely used in modern engineering. These are bars, beams, frames and trusses of structures, gridwork, network, framework and other constructions. Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural ...
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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach
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Nils Berglund, Barbara Gentz
Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book is aimed at advanced undergraduate and graduate students, and researchers in mathematics, physics, the natural sciences, and engineering. It presents a ...
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Asymptotic methods for relaxation oscillations and applications
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Johan Grasman
This book deals with the symptotic analysis of relaxation oscillations, which are nonlinear oscillations characterized by rapid change of a variable within a short time interval of the cycle. The type of asymptotic approximation of the solution is known as the method of matched asymptotic expansions. In case of coupled oscillations it gives ...
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Multiparticle Quantum Scattering with Applications to Nuclear, Atomic and Molecular Physics
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Donald G Truhlar (Editor), Barry Simon (Editor)
The topics in this volume include the ideas of mathematicians, physicists and chemists in the area of multiparticle scattering theory. Scattering theory (or collision theory as it is often called) is a fundamental area of theory and computation in both physics and chemistry. The correct formulation of scattering theory for two-body collisions is ...
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Large-Time Behavior of Solutions of Linear Dispersive Equations
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by
Daniel Beach Dix
This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest ...
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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
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Iu A Mitropol'skii, Yu Mitropolskii, Yuri A Mitropolsky
This volume is devoted to the further development of the asymptotic theory for analysing solutions of a wide range of nonlinear periodic boundary value problems. It suggests a systematic approach to constructing asymptotic methods for solving wave equations, a particular ordinary differential equation of the second order, hyperbolic differential ...
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Asymptotic Analysis of Differential Equations
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Roscoe B White
An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer analysis. The construction of integral solutions and the use of ...
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Painlev Transcendents: Their Asymptotics and Physical Applications
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Decio Levi (Editor), Pavel Winternitz (Editor)
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