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Equivalence of Truncated Count Mixture Distributions and Mixtures of Truncated Count Distributions

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  • Dankmar Böhning
  • Ronny Kuhnert

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  • Dankmar Böhning & Ronny Kuhnert, 2006. "Equivalence of Truncated Count Mixture Distributions and Mixtures of Truncated Count Distributions," Biometrics, The International Biometric Society, vol. 62(4), pages 1207-1215, December.
    • Handle: RePEc:bla:biomet:v:62:y:2006:i:4:p:1207-1215
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    File URL: http://hdl.handle.net/10.1111/j.1541-0420.2006.00565.x
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    References listed on IDEAS

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    1. Mao, Chang Xuan & Lindsay, Bruce G., 2003. "Tests and diagnostics for heterogeneity in the species problem," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 389-398, January.
    2. William A. Link, 2003. "Nonidentifiability of Population Size from Capture-Recapture Data with Heterogeneous Detection Probabilities," Biometrics, The International Biometric Society, vol. 59(4), pages 1123-1130, December.
    3. van de Geer, Sara, 2003. "Asymptotic theory for maximum likelihood in nonparametric mixture models," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 453-464, January.
    4. Shirley Pledger, 2000. "Unified Maximum Likelihood Estimates for Closed Capture–Recapture Models Using Mixtures," Biometrics, The International Biometric Society, vol. 56(2), pages 434-442, June.
    5. SIMAR, Leopold, 1976. "Maximum likelihood estimation of a compound Poisson process," LIDAM Reprints CORE 271, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Grogger, J T & Carson, Richard T, 1991. "Models for Truncated Counts," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(3), pages 225-238, July-Sept.
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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. Ronny Kuhnert & Dankmar Böhning, 2009. "CAMCR: Computer-Assisted Mixture model analysis for Capture–Recapture count data," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 93(1), pages 61-71, March.
    3. Chee, Chew-Seng & Wang, Yong, 2016. "Nonparametric estimation of species richness using discrete k-monotone distributions," Computational Statistics & Data Analysis, Elsevier, vol. 93(C), pages 107-118.
    4. Jordi Valero & Josep Ginebra & Marta Pérez-Casany, 2012. "Extended Truncated Tweedie-Poisson Model," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 811-829, September.
    5. Balabdaoui, Fadoua & Kulagina, Yulia, 2020. "Completely monotone distributions: Mixing, approximation and estimation of number of species," Computational Statistics & Data Analysis, Elsevier, vol. 150(C).
    6. Durot, Cécile & Huet, Sylvie & Koladjo, François & Robin, Stéphane, 2013. "Least-squares estimation of a convex discrete distribution," Computational Statistics & Data Analysis, Elsevier, vol. 67(C), pages 282-298.

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