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Relative Performance of the Grid, Nearest Neighbor, and OLS Estimators

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  • Pace, R Kelley

Abstract

This article provides various paradigms for the grid estimator, the most useful being a representation of the grid estimator as a combination of the nonparametric nearest neighbor estimator and a parametric estimator. Hence, the grid estimator falls into the class of semiparametric estimators. The article used this representation to derive the relative efficiency of the nearest neighbor, grid, and OLS estimators. Under statistically perfect conditions, the OLS estimator dominated the grid estimator, which in turn dominated the nearest neighbor estimator. A Monte Carlo experiment verified the theoretical results. A second Monte Carlo experiment showed the fragility of the OLS superiority to misspecification. The results cast light upon appraisal practice. Copyright 1996 by Kluwer Academic Publishers

Suggested Citation

  • Pace, R Kelley, 1996. "Relative Performance of the Grid, Nearest Neighbor, and OLS Estimators," The Journal of Real Estate Finance and Economics, Springer, vol. 13(3), pages 203-218, November.
  • Handle: RePEc:kap:jrefec:v:13:y:1996:i:3:p:203-18
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    Cited by:

    1. Sebastian Gnat & Mariusz Doszyn, 2020. "Parametric and Non-parametric Methods in Mass Appraisal on Poorly Developed Real Estate Markets," European Research Studies Journal, European Research Studies Journal, vol. 0(4), pages 1230-1245.
    2. Sebastian Gnat, 2021. "Property Mass Valuation on Small Markets," Land, MDPI, vol. 10(4), pages 1-14, April.

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