Skip to main content

Adaptive Estimation

  • Living reference work entry
  • First Online:
Book cover The New Palgrave Dictionary of Economics
  • 402 Accesses

Abstract

Adaptive estimation arises in the context of partially specified models. Partially specified models occur with some frequency in econometrics. For example, a linear regression model in which the error distribution is unknown is a partially specified model. So too are many of the diffusion models employed in empirical finance. One active research area is to understand the conditions under which the lack of full specification does not affect the asymptotic efficiency of the estimator, in which case the estimator is termed ‘adaptive’.

This chapter was originally published in The New Palgrave Dictionary of Economics, 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Bibliography

  • Bickel, P. 1982. On adaptive estimation. Annals of Statistics 10: 647–671.

    Article  Google Scholar 

  • Cai, T., and M. Low. 2005. Nonparametric estimation over shrinking neighborhoods: Superefficiency and adaptation. Annals of Statistics 33: 184–213.

    Article  Google Scholar 

  • Chicken, E., and T. Cai. 2005. Block thresholding for density estimation: Local and global adaptivity. Journal of Multivariate Analysis 95: 76–106.

    Article  Google Scholar 

  • Faraway, J. 1992. Smoothing in adaptive estimation. Annals of Statistics 20: 414–427.

    Article  Google Scholar 

  • Lepski, O., and V. Spokoiny. 1997. Optimal pointwise adaptive methods in nonparametric estimation. Annals of Statistics 25: 2512–2546.

    Article  Google Scholar 

  • Mercurio, D., and V. Spokoiny. 2004. Statistical inference for time-inhomogeneous volatility models. Annals of Statistics 32: 577–602.

    Article  Google Scholar 

  • Newey, W. 1988. Adaptive estimation of regression models via moment restrictions. Journal of Econometrics 38: 301–339.

    Article  Google Scholar 

  • Portnoy, S., and R. Koenker. 1989. Adaptive L-estimation for linear models. Annals of Statistics 17: 362–381.

    Article  Google Scholar 

  • Steigerwald, D. 1992. On the finite sample behavior of adaptive estimators. Journal of Econometrics 54: 371–400.

    Article  Google Scholar 

  • Stein, C. 1956. Efficient nonparametric testing and estimation. In Proceedings of the third Berkeley Symposium on mathematical statistics and probability, ed. J. Neyman. Berkeley: University of California Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Copyright information

© 2008 The Author(s)

About this entry

Cite this entry

Steigerwald, D.G. (2008). Adaptive Estimation. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_2420-1

Download citation

  • DOI: https://doi.org/10.1057/978-1-349-95121-5_2420-1

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Palgrave Macmillan, London

  • Online ISBN: 978-1-349-95121-5

  • eBook Packages: Springer Reference Economics and FinanceReference Module Humanities and Social SciencesReference Module Business, Economics and Social Sciences

Publish with us

Policies and ethics