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Estimating Features of a Distribution from Binomial Data

Author

Listed:
  • 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.

Suggested Citation

  • Arthur Lewbel & Daniel McFadden & Oliver Linton, 1997. "Estimating Features of a Distribution from Binomial Data," Boston College Working Papers in Economics 442, Boston College Department of Economics, revised 01 Jul 2010.
    • Handle: RePEc:boc:bocoec:442
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Willingness to Pay; Contingent Valuation; Discrete Choice; Binomial response; Bioassay; Destructive Duration Testing; Semiparametric; Nonparametric; Latent Variable Models;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C42 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Survey Methods
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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