Mathematics for Econometrics

Mathematics for Econometrics
Author: P.J. Dhrymes
Publisher: Springer Science & Business Media
Total Pages: 142
Release: 2013-04-18
Genre: Business & Economics
ISBN: 1475716915

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This booklet was begun as an appendix to Introductory Econometrics. As it progressed, requirements of consistency and completeness of coverage seemed to make it inordinately long to serve merely as an appendix, and thus it appears as a work in its own right. Its purpose is not to give rigorous instruction in mathematics. Rather it aims at filling the gaps in the typical student's mathematical training, to the extent relevant for the study of econometrics. Thus, it contains a collection of mathematical results employed at various stages of Introductory Econometrics. More generally, however, it would be a useful adjunct and reference to students of econometrics, no matter what text is being employed. In the vast majority of cases, proofs are provided and there is a modicum of verbal discussion of certain mathematical results, the objective being to reinforce the reader's understanding of the formalities. In certain instances, however, when proofs are too cumbersome, or complex, or when they are too obvious, they are omitted.

An Introduction to Mathematical Analysis for Economic Theory and Econometrics

An Introduction to Mathematical Analysis for Economic Theory and Econometrics
Author: Dean Corbae
Publisher: Princeton University Press
Total Pages: 696
Release: 2009-02-17
Genre: Business & Economics
ISBN: 1400833086

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Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory

Mathematics for Economics

Mathematics for Economics
Author: Michael Hoy
Publisher: MIT Press
Total Pages: 164
Release: 2001
Genre: Business & Economics
ISBN: 9780262582018

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This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.

Foundations of Mathematical Economics

Foundations of Mathematical Economics
Author: Michael Carter
Publisher: MIT Press
Total Pages: 678
Release: 2001-10-26
Genre: Business & Economics
ISBN: 9780262531924

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This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.

An Introduction to Mathematics for Economics

An Introduction to Mathematics for Economics
Author: Akihito Asano
Publisher: Cambridge University Press
Total Pages: 285
Release: 2012-11-08
Genre: Business & Economics
ISBN: 1107007607

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A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.

Financial Econometrics, Mathematics and Statistics

Financial Econometrics, Mathematics and Statistics
Author: Cheng-Few Lee
Publisher: Springer
Total Pages: 655
Release: 2019-06-03
Genre: Business & Economics
ISBN: 1493994298

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This rigorous textbook introduces graduate students to the principles of econometrics and statistics with a focus on methods and applications in financial research. Financial Econometrics, Mathematics, and Statistics introduces tools and methods important for both finance and accounting that assist with asset pricing, corporate finance, options and futures, and conducting financial accounting research. Divided into four parts, the text begins with topics related to regression and financial econometrics. Subsequent sections describe time-series analyses; the role of binomial, multi-nomial, and log normal distributions in option pricing models; and the application of statistics analyses to risk management. The real-world applications and problems offer students a unique insight into such topics as heteroskedasticity, regression, simultaneous equation models, panel data analysis, time series analysis, and generalized method of moments. Written by leading academics in the quantitative finance field, allows readers to implement the principles behind financial econometrics and statistics through real-world applications and problem sets. This textbook will appeal to a less-served market of upper-undergraduate and graduate students in finance, economics, and statistics. ​

Introduction to the Mathematical and Statistical Foundations of Econometrics

Introduction to the Mathematical and Statistical Foundations of Econometrics
Author: Herman J. Bierens
Publisher: Cambridge University Press
Total Pages: 356
Release: 2004-12-20
Genre: Business & Economics
ISBN: 9780521542241

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This book is intended for use in a rigorous introductory PhD level course in econometrics.

Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists
Author: Angel de la Fuente
Publisher: Cambridge University Press
Total Pages: 630
Release: 2000-01-28
Genre: Business & Economics
ISBN: 9780521585293

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A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Mathematical Economics

Mathematical Economics
Author: Kelvin Lancaster
Publisher: Courier Corporation
Total Pages: 450
Release: 2012-10-10
Genre: Mathematics
ISBN: 0486145042

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Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.

Mathematics for Economists with Applications

Mathematics for Economists with Applications
Author: James Bergin
Publisher: Routledge
Total Pages: 571
Release: 2015-01-09
Genre: Business & Economics
ISBN: 1317820150

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Mathematics for Economists with Applications provides detailed coverage of the mathematical techniques essential for undergraduate and introductory graduate work in economics, business and finance. Beginning with linear algebra and matrix theory, the book develops the techniques of univariate and multivariate calculus used in economics, proceeding to discuss the theory of optimization in detail. Integration, differential and difference equations are considered in subsequent chapters. Uniquely, the book also features a discussion of statistics and probability, including a study of the key distributions and their role in hypothesis testing. Throughout the text, large numbers of new and insightful examples and an extensive use of graphs explain and motivate the material. Each chapter develops from an elementary level and builds to more advanced topics, providing logical progression for the student, and enabling instructors to prescribe material to the required level of the course. With coverage substantial in depth as well as breadth, and including a companion website at www.routledge.com/cw/bergin, containing exercises related to the worked examples from each chapter of the book, Mathematics for Economists with Applications contains everything needed to understand and apply the mathematical methods and practices fundamental to the study of economics.