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A Count-Amount Model with Endogenous Recording of Observations

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Author Info
van Praag, B M S
Vermeulen, E M

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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.

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Publisher Info
Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 8 (1993)
Issue (Month): 4 (Oct.-Dec.)
Pages: 383-95
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Handle: RePEc:jae:japmet:v:8:y:1993:i:4:p:383-95

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  1. Peter S. Fader, Bruce G. S. Hardie, 2000. "A note on modelling underreported Poisson counts," Journal of Applied Statistics, Taylor and Francis Journals, vol. 27(8), pages 953-964, November. [Downloadable!] (restricted)
  2. 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. [Downloadable!]
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  3. Francisco Fernando, Ribeiro Ramos, 1999. "Underreporting of purchases of port wine," Journal of Applied Statistics, Taylor and Francis Journals, vol. 26(4), pages 485-494, May. [Downloadable!] (restricted)
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