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Articles

A multivariate zero-inflated binomial model for the analysis of correlated proportional data

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Pages 2740-2766 | Received 23 Jun 2020, Accepted 11 Apr 2021, Published online: 24 Apr 2021

References

  • V. Alevizakos and C. Koukouvinos, Monitoring of zero-inflated binomial processes with a DEWMA control chart, J. Appl. Stat. 2020. doi:10.1080/02664763.2020.1761950
  • M. Alqawba and N. Diawara, Copula-based Markov zero-inflated count time series models with application, J. Appl. Stat. 48 (2021), pp. 786–803. doi:10.1080/02664763.2020.1748581.
  • V.J. Broek, A score test for zero-inflation in a Poisson distribution, Biometrics 51 (1995), pp. 738–743.
  • B. Chandrasekarn and N. Balakrishnan, Some properties and a characterization of trivariate and multivariate binomial distributions, Statistics 36 (2002), pp. 211–218.
  • A.C. Cohen, Estimation in Mixtures of Discrete Distributions, Statistical Pub. Society, Calcutta, 1963.
  • D. Deng and S.R. Paul, Score tests for zero-inflation in generalized linear models, Can. J. Stat. 28 (2000), pp. 563–570.
  • D. Deng and S.R. Paul, Score tests for zero-inflation and over-dispersion in generalized linear models, Stat. Sin. 15 (2005), pp. 257–276.
  • K.T. Fang, S. Kotz and K.W. Ng, Symmetric Multivariate and Related Distributions, Chapman and Hall, New York & London, 1990.
  • D.B. Hall, Zero-inflated Poisson and binomial regression with random effects: A case study, Biometrics 56 (2000), pp. 1030–1039.
  • D.B. Hall and K.S. Berenhaut, Score tests for heterogeneity and over-dispersion in zero-inflated Poisson and binomial regression models, Can. J. Stat. 30 (2002), pp. 415–430.
  • M.W. van Iersel, R.D. Oetting and D.B. Hall, Imidacloprid applications by subirrigation for control of silverleaf whitefly (Homoptera: Aleyrodidae) on poinsettia, J. Econ. Entomol. 93 (2000), pp. 813–819.
  • N Jansakul and J.P. Hinde, Score tests for zero-inflated Poisson models, Comput. Stat. Data Anal. 40 (2002), pp. 75–96.
  • N.L. Johnson and S. Kotz, Distribution in Statistics: Discrete Distribution, John Wiley & Sons, New York, 1969.
  • A.S. Krishnamoorthy, Multivariate binomial and Poisson distributions, Sankhya Indian J. Stat. 13 (1951), pp. 117–124.
  • D. Lambert, Zero-inflated Poisson regression, with an application to defects in manufacturing, Technometrics 34 (1992), pp. 1–14.
  • L. Lauritzen, BS2 Statistical Inference, Lecture 4, University of Oxford, 2009.
  • C.H. Li, J.C. Lu, J. Park, K. Kim, P.A. Brinkley and J.P. Peterson, Multivariate zero-inflated Poisson models and their applications, Technometrics 41 (1999), pp. 29–38.
  • Y. Liu and G.L. Tian, Type I multivariate zero-inflated Poisson distribution with applications, Comput. Stat. Data Anal. 83 (2015), pp. 200–222.
  • A. Min and C. Czado, Testing for zero-modification in count regression models, Stat. Sin. 20 (2010), pp. 323–341.
  • E.T. Natwick, J.C. Palumbo and C.E. Engle, Effects of imidacloprid on colonization of aphids and silverleaf whitefly and growth, yield and phytotoxicity in cauliflower, Southwest. Entomol. 21 (1996), pp. 283–292.
  • M. Ridout, J. Hinde and C.G.B. Demétrio, A score test for testing a zero-inflated Poisson regression model against zero-inflated negative binomial alternatives, Biometrics 57 (2001), pp. 219–223.
  • K.-S. Song, Simultaneous statistical modelling of excess zeros, over/underdispersion, and multimodality with applications in hotel industry, J. Appl. Stat. 2020. doi:10.1080/02664763.2020.1769577
  • A.M.C. Vieira, J.P. Hinde and C.G.B. Demétrio, Zero-inflated proportion data models applied to a biological control assay, J. Appl. Stat. 27 (2000), pp. 373–389.

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