Arbeitspapier
Ill-posed inverse problems in economics
A parameter of an econometric model is identified if there is a one-to-one or many-to-one mapping from the population distribution of the available data to the parameter. Often, this mapping is obtained by inverting a mapping from the parameter to the population distribution. If the inverse mapping is discontinuous, then estimation of the parameter usually presents an ill-posed inverse problem. Such problems arise in many settings in economics and other fields where the parameter of interest is a function. This paper explains how ill-posedness arises and why it causes problems for estimation. The need to modify or regularize the identifying mapping is explained, and methods for regularization and estimation are discussed. Methods for forming confidence intervals and testing hypotheses are summarized. It is shown that a hypothesis test can be more precise in a certain sense than an estimator. An empirical example illustrates estimation in an ill-posed setting in economics.
- Language
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Englisch
- Bibliographic citation
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Series: cemmap working paper ; No. CWP37/13
- Classification
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Wirtschaft
- Subject
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regularization
nonparametric estimation
density estimation
deconvolution
nonparametric instrumental variables
Fredholm equation
- Event
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Geistige Schöpfung
- (who)
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Horowitz, Joel
- Event
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Veröffentlichung
- (who)
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Centre for Microdata Methods and Practice (cemmap)
- (where)
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London
- (when)
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2013
- DOI
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doi:10.1920/wp.cem.2013.3713
- Handle
- Last update
-
10.03.2025, 11:41 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Horowitz, Joel
- Centre for Microdata Methods and Practice (cemmap)
Time of origin
- 2013
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