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Population size estimation for capture-recapture models with applications to epidemiological data

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  • P. K. Tsay
  • A. Chao

Abstract

The capture-recapture method is applied to estimate the population size of a target population based on ascertainment data in epidemiological applications. We generalize the three-list case of Chao & Tsay (1998) to situations where more than three lists are available. An estimation procedure is presented using the concept of sample coverage, which can be interpreted as a measure of overlap information among multiple list records. When there is enough overlap, an estimator of the total population size is proposed. The bootstrap method is used to construct a variance estimator and confidence interval. If the overlap rate is relatively low, then the population size cannot be precisely estimated and thus only a lower (upper) bound is proposed for positively (negatively) dependent lists. The proposed method is applied to two data sets, one with a high and one with a low overlap rate.

Suggested Citation

  • P. K. Tsay & A. Chao, 2001. "Population size estimation for capture-recapture models with applications to epidemiological data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(1), pages 25-36.
    • Handle: RePEc:taf:japsta:v:28:y:2001:i:1:p:25-36
    DOI: 10.1080/02664760120011572
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    Cited by:

    1. Shira Mitchell & Al Ozonoff & Alan M. Zaslavsky & Bethany Hedt-Gauthier & Kristian Lum & Brent A. Coull, 2013. "A Comparison of Marginal and Conditional Models for Capture–Recapture Data with Application to Human Rights Violations Data," Biometrics, The International Biometric Society, vol. 69(4), pages 1022-1032, December.
    2. Jason M. Sutherland & Pete Castelluccio & Carl James Schwarz, 2009. "A Multilevel Model for Continuous Time Population Estimation," Biometrics, The International Biometric Society, vol. 65(3), pages 841-849, September.
    3. Jamal, Ahmad & Peattie, Sue & Peattie, Ken, 2012. "Ethnic minority consumers' responses to sales promotions in the packaged food market," Journal of Retailing and Consumer Services, Elsevier, vol. 19(1), pages 98-108.

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