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A Count-Amount Model with Endogenous Recording of Observations

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  • van Praag, B M S
  • Vermeulen, E M

Abstract

This paper discusses some of the problems which are encountered if an event Y is only recorded if its value satisfies a recording criterion A. It follows that we get an incorrect idea of the frequency of the events and of its true distribution. In order to solve these problems, an econometric model has been constructed by means of which consistent estimation of the true parameters is possible. The model is estimated on consumer purchases, where the number of purchases is assumed to be NEGBIN-distributed and the purchase amounts obey a lognormal distribution. Purchases are only recorded if their value exceeds Dfl.10. It is shown that ignoring the recording condition will result in biased estimates and invalid predictions. Apart from this, the model is, among others, relevant for insurance problems, marketing surveys and criminological and epidemiological phenomena. Copyright 1993 by John Wiley & Sons, Ltd.

Suggested Citation

  • van Praag, B M S & Vermeulen, E M, 1993. "A Count-Amount Model with Endogenous Recording of Observations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(4), pages 383-395, Oct.-Dec..
    • Handle: RePEc:jae:japmet:v:8:y:1993:i:4:p:383-95
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    Cited by:

    1. Erich Battistin, 2002. "Errors in Survey Reports of Consumption Expenditures," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 C4-2, International Conferences on Panel Data.
    2. Nicole Jonker & Anneke Kosse, 2013. "Estimating Cash Usage: The Impact of Survey Design on Research Outcomes," De Economist, Springer, vol. 161(1), pages 19-44, March.
    3. Michael Braun & Peter S. Fader & Eric T. Bradlow & Howard Kunreuther, 2006. "Modeling the "Pseudodeductible" in Insurance Claims Decisions," Management Science, INFORMS, vol. 52(8), pages 1258-1272, August.
    4. Francisco Fernando & Ribeiro Ramos, 1999. "Underreporting of purchases of port wine," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(4), pages 485-494.
    5. R. Winkelmann, 1998. "Count data models with selectivity," Econometric Reviews, Taylor & Francis Journals, vol. 17(4), pages 339-359.
    6. Peter Fader & Bruce Hardie, 2000. "A note on modelling underreported Poisson counts," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(8), pages 953-964.

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