Introduction to the Mathematical and Statistical Foundations of Econometrics

Introduction to the Mathematical and Statistical Foundations of Econometrics PDF Author: Herman J. Bierens
Publisher: Cambridge University Press
ISBN: 9780521542241
Category : Business & Economics
Languages : en
Pages : 356

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

Introduction to the Mathematical and Statistical Foundations of Econometrics

Introduction to the Mathematical and Statistical Foundations of Econometrics PDF Author: Herman J. Bierens
Publisher: Cambridge University Press
ISBN: 9780521542241
Category : Business & Economics
Languages : en
Pages : 356

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

Introduction to the mathematical and statistical foundations of econometrics

Introduction to the mathematical and statistical foundations of econometrics PDF Author: Herman J. Bierens
Publisher:
ISBN:
Category : Econometria
Languages : en
Pages :

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Book Description


Statistical Foundations of Econometric Modelling

Statistical Foundations of Econometric Modelling PDF Author: Aris Spanos
Publisher: Cambridge University Press
ISBN: 9780521269124
Category : Business & Economics
Languages : en
Pages : 722

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Book Description
A thorough foundation in probability theory and statistical inference provides an introduction to the underlying theory of econometrics that motivates the student at a intuitive as well as a formal level.

Statistical Foundations of Data Science

Statistical Foundations of Data Science PDF Author: Jianqing Fan
Publisher: CRC Press
ISBN: 1466510854
Category : Mathematics
Languages : en
Pages : 752

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Book Description
Statistical Foundations of Data Science gives a thorough introduction to commonly used statistical models, contemporary statistical machine learning techniques and algorithms, along with their mathematical insights and statistical theories. It aims to serve as a graduate-level textbook and a research monograph on high-dimensional statistics, sparsity and covariance learning, machine learning, and statistical inference. It includes ample exercises that involve both theoretical studies as well as empirical applications. The book begins with an introduction to the stylized features of big data and their impacts on statistical analysis. It then introduces multiple linear regression and expands the techniques of model building via nonparametric regression and kernel tricks. It provides a comprehensive account on sparsity explorations and model selections for multiple regression, generalized linear models, quantile regression, robust regression, hazards regression, among others. High-dimensional inference is also thoroughly addressed and so is feature screening. The book also provides a comprehensive account on high-dimensional covariance estimation, learning latent factors and hidden structures, as well as their applications to statistical estimation, inference, prediction and machine learning problems. It also introduces thoroughly statistical machine learning theory and methods for classification, clustering, and prediction. These include CART, random forests, boosting, support vector machines, clustering algorithms, sparse PCA, and deep learning.

Intermediate Statistics and Econometrics

Intermediate Statistics and Econometrics PDF Author: Dale J. Poirier
Publisher: MIT Press
ISBN: 9780262161497
Category : Business & Economics
Languages : en
Pages : 744

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Book Description
The standard introductory texts to mathematical statistics leave the Bayesian approach to be taught later in advanced topics courses-giving students the impression that Bayesian statistics provide but a few techniques appropriate in only special circumstances. Nothing could be further from the truth, argues Dale Poirier, who has developed a course for teaching comparatively both the classical and the Bayesian approaches to econometrics. Poirier's text provides a thoroughly modern, self-contained, comprehensive, and accessible treatment of the probability and statistical foundations of econometrics with special emphasis on the linear regression model. Written primarily for advanced undergraduate and graduate students who are pursuing research careers in economics, Intermediate Statistics and Econometrics offers a broad perspective, bringing together a great deal of diverse material. Its comparative approach, emphasis on regression and prediction, and numerous exercises and references provide a solid foundation for subsequent courses in econometrics and will prove a valuable resource to many nonspecialists who want to update their quantitative skills. The introduction closes with an example of a real-world data set-the Challengerspace shuttle disaster-that motivates much of the text's theoretical discussion. The ten chapters that follow cover basic concepts, special distributions, distributions of functions of random variables, sampling theory, estimation, hypothesis testing, prediction, and the linear regression model. Appendixes contain a review of matrix algebra, computation, and statistical tables.

Mathematical Foundations of Time Series Analysis

Mathematical Foundations of Time Series Analysis PDF Author: Jan Beran
Publisher: Springer
ISBN: 3319743805
Category : Mathematics
Languages : en
Pages : 307

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Book Description
This book provides a concise introduction to the mathematical foundations of time series analysis, with an emphasis on mathematical clarity. The text is reduced to the essential logical core, mostly using the symbolic language of mathematics, thus enabling readers to very quickly grasp the essential reasoning behind time series analysis. It appeals to anybody wanting to understand time series in a precise, mathematical manner. It is suitable for graduate courses in time series analysis but is equally useful as a reference work for students and researchers alike.

Probability Theory and Statistical Inference

Probability Theory and Statistical Inference PDF Author: Aris Spanos
Publisher: Cambridge University Press
ISBN: 1107185149
Category : Business & Economics
Languages : en
Pages : 787

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Book Description
This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.

Econometrics

Econometrics PDF Author: P. J. Dhrymes
Publisher: Springer Science & Business Media
ISBN: 1461393833
Category : Business & Economics
Languages : en
Pages : 605

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Book Description


An Introduction to Econometric Theory

An Introduction to Econometric Theory PDF Author: James Davidson
Publisher: John Wiley & Sons
ISBN: 1119484928
Category : Business & Economics
Languages : en
Pages : 256

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Book Description
A guide to economics, statistics and finance that explores the mathematical foundations underling econometric methods An Introduction to Econometric Theory offers a text to help in the mastery of the mathematics that underlie econometric methods and includes a detailed study of matrix algebra and distribution theory. Designed to be an accessible resource, the text explains in clear language why things are being done, and how previous material informs a current argument. The style is deliberately informal with numbered theorems and lemmas avoided. However, very few technical results are quoted without some form of explanation, demonstration or proof. The author — a noted expert in the field — covers a wealth of topics including: simple regression, basic matrix algebra, the general linear model, distribution theory, the normal distribution, properties of least squares, unbiasedness and efficiency, eigenvalues, statistical inference in regression, t and F tests, the partitioned regression, specification analysis, random regressor theory, introduction to asymptotics and maximum likelihood. Each of the chapters is supplied with a collection of exercises, some of which are straightforward and others more challenging. This important text: Presents a guide for teaching econometric methods to undergraduate and graduate students of economics, statistics or finance Offers proven classroom-tested material Contains sets of exercises that accompany each chapter Includes a companion website that hosts additional materials, solution manual and lecture slides Written for undergraduates and graduate students of economics, statistics or finance, An Introduction to Econometric Theory is an essential beginner’s guide to the underpinnings of econometrics.

Mathematics for Econometrics

Mathematics for Econometrics PDF Author: P.J. Dhrymes
Publisher: Springer Science & Business Media
ISBN: 1475716915
Category : Business & Economics
Languages : en
Pages : 142

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Book Description
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.