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Estimating features of a distribution from binomial data

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  • Lewbel, Arthur
  • McFadden, Daniel
  • Linton, Oliver

Abstract

We propose estimators of features of the distribution of an unobserved random variable W. What is observed is a sample of Y,V,X where a binary Y equals one when W exceeds a threshold V determined by experimental design, and X are covariates. Potential applications include bioassay and destructive duration analysis. Our empirical application is referendum contingent valuation in resource economics, where one is interested in features of the distribution of values W (willingness to pay) placed by consumers on a public good such as endangered species. Sample consumers with characteristics X are asked whether they favor (with Y=1 if yes and zero otherwise) a referendum that would provide the good at a cost V specified by experimental design. This paper provides estimators for quantiles and conditional on X moments of W under both nonparametric and semiparametric specifications.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 162 (2011)
Issue (Month): 2 (June)
Pages: 170-188

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Handle: RePEc:eee:econom:v:162:y:2011:i:2:p:170-188

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Web page: http://www.elsevier.com/locate/jeconom

Related research

Keywords: Willingness to pay Contingent valuation Discrete choice Binomial response Bioassay Destructive duration testing Semiparametric Nonparametric Latent variable models;

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  2. Horowitz, Joel L., 2001. "The Bootstrap," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 52, pages 3159-3228 Elsevier.
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