Higher order properties of GMM and generalized empirical likelihood estimators

Arbeitspapier

In an effort to improve the small sample properties of generalized method of moments (GMM) estimators, a number of alternative estimators have been suggested. These include empirical likelihood (EL), continuous updating, and exponential tilting estimators. We show that these estimators share a common structure, being members of a class of generalized empirical likelihood (GEL) estimators. We use this structure to compare their higher order asymptotic properties. We find that GEL has no asymptotic bias due to correlation of the moment functions with their Jacobian, eliminating an important source of bias for GMM in models with endogeneity. We also find that EL has no asymptotic bias from estimating the optimal weight matrix, eliminating a further important source of bias for GMM in panel data models. We give bias corrected GMM and GEL estimators. We also show that bias corrected EL inherits the higher order property of maximum likelihood, that it is higher order asymptotically effcient relative to the other bias corrected estimators.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: cemmap working paper ; No. CWP04/03

Classification and Topics

• Classification: Wirtschaft ; Estimation: General ; Multiple or Simultaneous Equation Models; Multiple Variables: General
• Subject: GMM , Empirical Likelihood , Bias , Higher Order Efficiency , Stochastic Expansions ; Schätztheorie ; Theorie ; Momentenmethode

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Newey, Whitney K. ; Smith, Richard J.
• Event: Veröffentlichung
• (who): Centre for Microdata Methods and Practice (cemmap)
• (where): London
• (when): 2003

Further information

• DOI: doi:10.1920/wp.cem.2003.0403
• Handle: http://hdl.handle.net/10419/79360
• Last update: 10.03.2025, 11:45 AM CET