Approach to Analysis of Self-Selected Interval Data

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.

Published in

CERE Working Paper
2010, number: 2010:2
Publisher: Umeå University

SLU Authors

• Belyaev, Yuri

  • Department of Forest Economics, Swedish University of Agricultural Sciences
    

• Kriström, Bengt

  • Department of Forest Economics, Swedish University of Agricultural Sciences
    
  • Umeå University

UKÄ Subject classification

Probability Theory and Statistics

Permanent link to this page (URI)

https://res.slu.se/id/publ/32317