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2009 | Buch

Semiparametric and Nonparametric Methods in Econometrics

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Standard methods for estimating empirical models in economics and many other fields rely on strong assumptions about functional forms and the distributions of unobserved random variables. Often, it is assumed that functions of interest are linear or that unobserved random variables are normally distributed. Such assumptions simplify estimation and statistical inference but are rarely justified by economic theory or other a priori considerations. Inference based on convenient but incorrect assumptions about functional forms and distributions can be highly misleading. Nonparametric and semiparametric statistical methods provide a way to reduce the strength of the assumptions required for estimation and inference, thereby reducing the opportunities for obtaining misleading results. These methods are applicable to a wide variety of estimation problems in empirical economics and other fields, and they are being used in applied research with increasing frequency.

The literature on nonparametric and semiparametric estimation is large and highly technical. This book presents the main ideas underlying a variety of nonparametric and semiparametric methods. It is accessible to graduate students and applied researchers who are familiar with econometric and statistical theory at the level taught in graduate-level courses in leading universities. The book emphasizes ideas instead of technical details and provides as intuitive an exposition as possible. Empirical examples illustrate the methods that are presented.

This book updates and greatly expands the author’s previous book on semiparametric methods in econometrics. Nearly half of the material is new.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction
Many estimation problems in econometrics involve an unknown function or an unknown function and an unknown finite-dimensional parameter. Models and estimation problems that involve an unknown function are called nonparametric. Models and estimation problems that involve an unknown function and an unknown finite-dimensional parameter are called semiparametric.
Joel L. Horowitz
Chapter 2. Single-Index Models
This chapter describes single-index models for conditional mean and quantile functions. Single-index models relax some of the restrictive assumptions of familiar parametric models, such as linear models and binary probit or logit models.
Joel L. Horowitz
Chapter 3. Nonparametric Additive Models and Semiparametric Partially Linear Models
This chapter discusses two types of models of conditional mean and quantile functions. The first is a nonparametric additive model. The second is a semiparametric partially linear model. In a nonparametric additive model, the mean or quantile of a random variable.
Joel L. Horowitz
Chapter 4. Binary-Response Models
This chapter is concerned with estimating the binary-response model
Joel L. Horowitz
Chapter 5. Statistical Inverse Problems
This chapter is concerned with estimation of a function g that is the solution to an integral equation called a Fredholm equation of the first kind.
Joel L. Horowitz
Chapter 6. Transformation Models
This chapter is concerned with estimating models of the form
Joel L. Horowitz
Appendix
Nonparametric Density Estimation and Nonparametric Regression
This appendix summarizes properties of nonparametric density, mean-regression, and quantile-regression estimators that are used in the text. Härdle (1990), Silverman (1986), and Fan and Gijbels (1996) provide more detailed presentations of kernel and local polynomial estimators. Newey (1997) provides a detailed discussion of series estimators of conditional mean functions. Bhattacharya and Gangopadhyay (1990), Chaudhuri (1991a), Fan et al. (1994), and Horowitz and Lee (2005) discuss nonparametric quantile estimation.
Joel L. Horowitz
Backmatter
Metadaten
Titel
Semiparametric and Nonparametric Methods in Econometrics
verfasst von
Joel L. Horowitz
Copyright-Jahr
2009
Verlag
Springer US
Electronic ISBN
978-0-387-92870-8
Print ISBN
978-0-387-92869-2
DOI
https://doi.org/10.1007/978-0-387-92870-8