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Estimation of the population size by using the one-inflated positive Poisson model

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  • Ryan T. Godwin
  • Dankmar Böhning

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  • Ryan T. Godwin & Dankmar Böhning, 2017. "Estimation of the population size by using the one-inflated positive Poisson model," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(2), pages 425-448, February.
    • Handle: RePEc:bla:jorssc:v:66:y:2017:i:2:p:425-448
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    File URL: http://hdl.handle.net/10.1111/rssc.12192
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    References listed on IDEAS

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    1. King, M.L. & Giles, D.E.A., 1984. "Autocorrelation pre-testing in the linear model: Estimation, testing and prediction," Journal of Econometrics, Elsevier, vol. 25(1-2), pages 35-48.
    2. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December.
    3. Crepon, Bruno & Duguet, Emmanuel, 1997. "Research and development, competition and innovation pseudo-maximum likelihood and simulated maximum likelihood methods applied to count data models with heterogeneity," Journal of Econometrics, Elsevier, vol. 79(2), pages 355-378, August.
    4. Gurmu, Shiferaw & Trivedi, Pravin K, 1996. "Excess Zeros in Count Models for Recreational Trips," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 469-477, October.
    5. Horowitz, Joel L. & Savin, N. E., 2000. "Empirically relevant critical values for hypothesis tests: A bootstrap approach," Journal of Econometrics, Elsevier, vol. 95(2), pages 375-389, April.
    6. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
    7. Sa-aat Niwitpong & Dankmar Böhning & Peter Heijden & Heinz Holling, 2013. "Capture–recapture estimation based upon the geometric distribution allowing for heterogeneity," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(4), pages 495-519, May.
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    Cited by:

    1. Yang Liu & Rong Kuang & Guanfu Liu, 2024. "Penalized likelihood inference for the finite mixture of Poisson distributions from capture-recapture data," Statistical Papers, Springer, vol. 65(5), pages 2751-2773, July.
    2. Yang Liu & Yukun Liu & Pengfei Li & Riquan Zhang, 2024. "Two-step semiparametric empirical likelihood inference from capture–recapture data with missing covariates," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 33(3), pages 786-808, September.
    3. Dankmar Böhning & Herwig Friedl, 2021. "Population size estimation based upon zero-truncated, one-inflated and sparse count data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(4), pages 1197-1217, October.
    4. Maciej Berk{e}sewicz & Katarzyna Pawlukiewicz, 2020. "Estimation of the number of irregular foreigners in Poland using non-linear count regression models," Papers 2008.09407, arXiv.org.
    5. Ryan T. Godwin, 2024. "One-inflated zero-truncated Poisson and negative binomial regression models," Papers 2402.02272, arXiv.org, revised Mar 2025.
    6. Mark E. Piatek & Dankmar Böhning, 2024. "Deriving a zero-truncated modelling methodology to analyse capture–recapture data from self-reported social networks," METRON, Springer;Sapienza Università di Roma, vol. 82(2), pages 135-160, August.

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