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Some Alternatives to the Box-Cox Regression Model

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Wooldridge, Jeffrey M

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Abstract

A nonlinear regression model is proposed as an alternative to the Box-Cox regression model for nonnegative variables. The functional form contains linear, exponential, and reciprocal models as special cases. Unlike Box-Cox type approaches, the proposed estimators of the conditional mean function are robust to conditional variance and other distributional misspecifications. Computationally simple, robust Lagrange multiplier statistics for restricted versions of the model are derived. Scale invariant t-statistics are proposed and the Lagrange multiplier statistic for exclusion restrictions is shown to be scale invariant. Copyright 1992 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 33 (1992)
Issue (Month): 4 (November)
Pages: 935-55
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Handle: RePEc:ier:iecrev:v:33:y:1992:i:4:p:935-55

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  1. Anirban Basu & Bhakti V. Arondekar & Paul J. Rathouz, 2006. "Scale of interest versus scale of estimation: comparing alternative estimators for the incremental costs of a comorbidity," Health Economics, John Wiley & Sons, Ltd., vol. 15(10), pages 1091-1107. [Downloadable!]
  2. John Mullahy, 1998. "Much Ado About Two: Reconsidering Retransformation and the Two-Part Model in Health Economics," NBER Technical Working Papers 0228, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Donald S. Kenkel & Joseph V. Terza, 2001. "The effect of physician advice on alcohol consumption: count regression with an endogenous treatment effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 165-184. [Downloadable!]
  4. Stefan Boes, 2007. "Count Data Models with Unobserved Heterogeneity: An Empirical Likelihood Approach," Working Papers 0704, University of Zurich, Socioeconomic Institute. [Downloadable!]
  5. Jose A. F. Machado & Jose Mata, 2000. "Box-Cox quantile regression and the distribution of firm sizes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(3), pages 253-274. [Downloadable!]
  6. Jason Abrevaya, 2002. "Computing Marginal Effects In The Box-Cox Model," Econometric Reviews, Taylor and Francis Journals, vol. 21(3), pages 383-393. [Downloadable!] (restricted)
  7. Koebel, Bertrand M. & Falk, Martin & Laisney, Francois, 2000. "Imposing and testing curvature conditions on a Box-Cox function," ZEW Discussion Papers 00-70, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research. [Downloadable!]
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