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Approach to Analysis of Self-Selected Interval Data

Author

Listed:
  • Belyaev, Yuri

    (Centre of Biostochastics, SLU-Umeå)

  • Kriström, Bengt

    (CERE, SLU-Umeå and Umeå University)

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.

Suggested Citation

  • Belyaev, Yuri & Kriström, Bengt, 2010. "Approach to Analysis of Self-Selected Interval Data," CERE Working Papers 2010:2, CERE - the Center for Environmental and Resource Economics.
    • Handle: RePEc:hhs:slucer:2010_002
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    File URL: http://www.cere.se/documents/wp/CERE_2010_2.pdf
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    References listed on IDEAS

    as
    1. van Exel, N.J.A. & Brouwer, W.B.F. & van den Berg, B. & Koopmanschap, M.A., 2006. "With a little help from an anchor: Discussion and evidence of anchoring effects in contingent valuation," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 35(5), pages 836-853, October.
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    Cited by:

    1. Belyaev, Yuri & Kriström, Bengt, 2012. "Two-step approach to Self-Selected Interval Data in Elicitation Surveys," CERE Working Papers 2012:10, CERE - the Center for Environmental and Resource Economics.
    2. Angel G. Angelov & Magnus Ekström, 2017. "Nonparametric estimation for self-selected interval data collected through a two-stage approach," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(4), pages 377-399, May.
    3. V. Markantonis & V. Meyer & N. Lienhoop, 2013. "Evaluation of the environmental impacts of extreme floods in the Evros River basin using Contingent Valuation Method," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 69(3), pages 1535-1549, December.
    4. Angel G. Angelov & Magnus Ekström, 2019. "Maximum likelihood estimation for survey data with informative interval censoring," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 103(2), pages 217-236, June.
    5. Pierre-Alexandre Mahieu & Pere Riera & Marek Giergiczny, 2012. "The influence of cheap talk on willingness-to-pay ranges: some empirical evidence from a contingent valuation study," Journal of Environmental Planning and Management, Taylor & Francis Journals, vol. 55(6), pages 753-763, September.

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    More about this item

    Keywords

    Interval data; Maximum Likelihood; Turnbull estimator; willingness-to-pay; quantitative elicitation;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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