Semiparametric Regression

Semiparametric Regression
Author: David Ruppert
Publisher: Cambridge University Press
Total Pages: 410
Release: 2003-07-14
Genre: Mathematics
ISBN: 9780521785167

Semiparametric regression is concerned with the flexible incorporation of non-linear functional relationships in regression analyses. Any application area that benefits from regression analysis can also benefit from semiparametric regression. Assuming only a basic familiarity with ordinary parametric regression, this user-friendly book explains the techniques and benefits of semiparametric regression in a concise and modular fashion. The authors make liberal use of graphics and examples plus case studies taken from environmental, financial, and other applications. They include practical advice on implementation and pointers to relevant software. The 2003 book is suitable as a textbook for students with little background in regression as well as a reference book for statistically oriented scientists such as biostatisticians, econometricians, quantitative social scientists, epidemiologists, with a good working knowledge of regression and the desire to begin using more flexible semiparametric models. Even experts on semiparametric regression should find something new here.

Semiparametric Theory and Missing Data

Semiparametric Theory and Missing Data
Author: Anastasios Tsiatis
Publisher: Springer Science & Business Media
Total Pages: 392
Release: 2007-01-15
Genre: Mathematics
ISBN: 0387373454

This book summarizes current knowledge regarding the theory of estimation for semiparametric models with missing data, in an organized and comprehensive manner. It starts with the study of semiparametric methods when there are no missing data. The description of the theory of estimation for semiparametric models is both rigorous and intuitive, relying on geometric ideas to reinforce the intuition and understanding of the theory. These methods are then applied to problems with missing, censored, and coarsened data with the goal of deriving estimators that are as robust and efficient as possible.

The Art of Semiparametrics

The Art of Semiparametrics
Author: Stefan Sperlich
Publisher: Springer Science & Business Media
Total Pages: 185
Release: 2006-07-25
Genre: Mathematics
ISBN: 3790817015

This selection of articles emerged from different works presented "The Art of Semiparametrics" conference in 2003 in Berlin. It offers a collection of individual works that together show the large spectrum of semiparametric statistics. The book combines theoretical contributions with more applied and empirical studies. Although each article represents an original contribution to its own field, all are written in a self-contained way that may be read by non-experts.

Semiparametric Modeling of Implied Volatility

Semiparametric Modeling of Implied Volatility
Author: Matthias R. Fengler
Publisher: Springer Science & Business Media
Total Pages: 232
Release: 2005-12-19
Genre: Business & Economics
ISBN: 3540305912

This book offers recent advances in the theory of implied volatility and refined semiparametric estimation strategies and dimension reduction methods for functional surfaces. The first part is devoted to smile-consistent pricing approaches. The second part covers estimation techniques that are natural candidates to meet the challenges in implied volatility surfaces. Empirical investigations, simulations, and pictures illustrate the concepts.

The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics

The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics
Author: Jeffrey Racine
Publisher: Oxford University Press
Total Pages: 562
Release: 2014-04
Genre: Business & Economics
ISBN: 0199857946

This volume, edited by Jeffrey Racine, Liangjun Su, and Aman Ullah, contains the latest research on nonparametric and semiparametric econometrics and statistics. Chapters by leading international econometricians and statisticians highlight the interface between econometrics and statistical methods for nonparametric and semiparametric procedures.

Bayesian Non- and Semi-parametric Methods and Applications

Bayesian Non- and Semi-parametric Methods and Applications
Author: Peter Rossi
Publisher: Princeton University Press
Total Pages: 218
Release: 2014-04-27
Genre: Business & Economics
ISBN: 0691145326

This book reviews and develops Bayesian non-parametric and semi-parametric methods for applications in microeconometrics and quantitative marketing. Most econometric models used in microeconomics and marketing applications involve arbitrary distributional assumptions. As more data becomes available, a natural desire to provide methods that relax these assumptions arises. Peter Rossi advocates a Bayesian approach in which specific distributional assumptions are replaced with more flexible distributions based on mixtures of normals. The Bayesian approach can use either a large but fixed number of normal components in the mixture or an infinite number bounded only by the sample size. By using flexible distributional approximations instead of fixed parametric models, the Bayesian approach can reap the advantages of an efficient method that models all of the structure in the data while retaining desirable smoothing properties. Non-Bayesian non-parametric methods often require additional ad hoc rules to avoid "overfitting," in which resulting density approximates are nonsmooth. With proper priors, the Bayesian approach largely avoids overfitting, while retaining flexibility. This book provides methods for assessing informative priors that require only simple data normalizations. The book also applies the mixture of the normals approximation method to a number of important models in microeconometrics and marketing, including the non-parametric and semi-parametric regression models, instrumental variables problems, and models of heterogeneity. In addition, the author has written a free online software package in R, "bayesm," which implements all of the non-parametric models discussed in the book.

Life Distributions

Life Distributions
Author: Albert W. Marshall
Publisher: Springer Science & Business Media
Total Pages: 785
Release: 2007-10-13
Genre: Technology & Engineering
ISBN: 0387684778

This book is devoted to the study of univariate distributions appropriate for the analyses of data known to be nonnegative. The book includes much material from reliability theory in engineering and survival analysis in medicine.

Nonparametric Econometrics

Nonparametric Econometrics
Author: Qi Li
Publisher: Princeton University Press
Total Pages: 769
Release: 2011-10-09
Genre: Business & Economics
ISBN: 1400841062

A comprehensive, up-to-date textbook on nonparametric methods for students and researchers Until now, students and researchers in nonparametric and semiparametric statistics and econometrics have had to turn to the latest journal articles to keep pace with these emerging methods of economic analysis. Nonparametric Econometrics fills a major gap by gathering together the most up-to-date theory and techniques and presenting them in a remarkably straightforward and accessible format. The empirical tests, data, and exercises included in this textbook help make it the ideal introduction for graduate students and an indispensable resource for researchers. Nonparametric and semiparametric methods have attracted a great deal of attention from statisticians in recent decades. While the majority of existing books on the subject operate from the presumption that the underlying data is strictly continuous in nature, more often than not social scientists deal with categorical data—nominal and ordinal—in applied settings. The conventional nonparametric approach to dealing with the presence of discrete variables is acknowledged to be unsatisfactory. This book is tailored to the needs of applied econometricians and social scientists. Qi Li and Jeffrey Racine emphasize nonparametric techniques suited to the rich array of data types—continuous, nominal, and ordinal—within one coherent framework. They also emphasize the properties of nonparametric estimators in the presence of potentially irrelevant variables. Nonparametric Econometrics covers all the material necessary to understand and apply nonparametric methods for real-world problems.

Longitudinal Data Analysis

Longitudinal Data Analysis
Author: Garrett Fitzmaurice
Publisher: CRC Press
Total Pages: 633
Release: 2008-08-11
Genre: Mathematics
ISBN: 142001157X

Although many books currently available describe statistical models and methods for analyzing longitudinal data, they do not highlight connections between various research threads in the statistical literature. Responding to this void, Longitudinal Data Analysis provides a clear, comprehensive, and unified overview of state-of-the-art theory

Statistical Inference for Ergodic Diffusion Processes

Statistical Inference for Ergodic Diffusion Processes
Author: Yury A. Kutoyants
Publisher: Springer Science & Business Media
Total Pages: 493
Release: 2013-03-09
Genre: Mathematics
ISBN: 144713866X

The first book in inference for stochastic processes from a statistical, rather than a probabilistic, perspective. It provides a systematic exposition of theoretical results from over ten years of mathematical literature and presents, for the first time in book form, many new techniques and approaches.