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Estimating Features of a Distribution from Binomial Data

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  • Arthur Lewbel

    ()
    (Boston College)

  • Daniel McFadden

    ()
    (University of California-Berkeley)

  • Oliver Linton

    ()
    (London School of Economics)

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

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 442.

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Date of creation: 15 May 1997
Date of revision: 01 Jul 2010
Handle: RePEc:boc:bocoec:442

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Keywords: Willingness to Pay; Contingent Valuation; Discrete Choice; Binomial response; Bioassay; Destructive Duration Testing; Semiparametric; Nonparametric; Latent Variable Models;

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  1. Xiaohong Chen & Oliver Linton & Ingrid Van Keilegom, 2003. "Estimation of semiparametric models when the criterion function is not smooth," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 2167, London School of Economics and Political Science, LSE Library.
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  12. John Crooker & Joseph Herriges, 2004. "Parametric and Semi-Nonparametric Estimation of Willingness-to-Pay in the Dichotomous Choice Contingent Valuation Framework," Environmental & Resource Economics, European Association of Environmental and Resource Economists, European Association of Environmental and Resource Economists, vol. 27(4), pages 451-480, April.
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  21. Green, Donald & Jacowitz, Karen E. & Kahneman, Daniel & McFadden, Daniel, 1998. "Referendum contingent valuation, anchoring, and willingness to pay for public goods," Resource and Energy Economics, Elsevier, Elsevier, vol. 20(2), pages 85-116, June.
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