Estimating features of a distribution from binomial data |
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Authors: | Arthur Lewbel Daniel McFadden Oliver Linton |
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Institution: | a Department of Economics, Boston College, 140 Commonwealth Avenue, Chestnut Hill, MA 02467, USA;b Department of Economics, University of California, Berkeley, CA 94720-3880, USA;c Department of Economics, London School of Economics, Houghton Street, London WC2A 2AE, United Kingdom |
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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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Keywords: | Willingness to pay Contingent valuation Discrete choice Binomial response Bioassay Destructive duration testing Semiparametric Nonparametric Latent variable models |
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