Scandinavian Working Papers in Economics

CERE Working Papers,
CERE - the Center for Environmental and Resource Economics

No 2010:2: Approach to Analysis of Self-Selected Interval Data

Yuri Belyaev () and Bengt Kriström ()
Additional contact information
Yuri Belyaev: Centre of Biostochastics, SLU-Umeå
Bengt Kriström: CERE, SLU-Umeå and Umeå University, Postal: CERE, SLU, 901 83 Umeå, Sweden

Abstract: We analyze an approach to quantitative information elicitation in surveys that includes many currently popular variants as special cases. Rather than asking the individual to state a point estimate or select between given brackets, the individual can self-select any interval of choice. We propose a new estimator for such interval censored data. It can be viewed as an extension of Turnbull's estimator (Turnbull(1976)) for interval censored data. A detailed empirical example is provided, using a survey on the valuation of a public good. We estimate survival functions based on a Weibull and a mixed Weibull/exponential distribution and prove that a consistent maximum likelihood estimator exists and that its accuracy can be consistently estimated by re-sampling methods in these two families of distributions.

Keywords: Interval data; Maximum Likelihood; Turnbull estimator; willingness-to-pay; quantitative elicitation

JEL-codes: C25

36 pages, February 15, 2010

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