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A generalized Waring regression model for count data

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  • Rodríguez-Avi, J.
  • Conde-Sánchez, A.
  • Sáez-Castillo, A.J.
  • Olmo-Jiménez, M.J.
  • Martínez-Rodríguez, A.M.

Abstract

A regression model for count data based on the generalized Waring distribution is developed. This model allows the observed variability to be split into three components: randomness, internal differences between individuals and the presence of other external factors that have not been included as covariates in the model. An application in the field of sports illustrates its capacity for modelling data sets with great accuracy. Moreover, this yields more information than a model based on the negative binomial distribution.

Suggested Citation

  • Rodríguez-Avi, J. & Conde-Sánchez, A. & Sáez-Castillo, A.J. & Olmo-Jiménez, M.J. & Martínez-Rodríguez, A.M., 2009. "A generalized Waring regression model for count data," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3717-3725, August.
    • Handle: RePEc:eee:csdana:v:53:y:2009:i:10:p:3717-3725
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    References listed on IDEAS

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    1. Rigby, R.A. & Stasinopoulos, D.M. & Akantziliotou, C., 2008. "A framework for modelling overdispersed count data, including the Poisson-shifted generalized inverse Gaussian distribution," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 381-393, December.
    2. K. Poortema, 1999. "On modelling overdispersion of counts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 53(1), pages 5-20, March.
    3. Cameron, A Colin & Trivedi, Pravin K, 1986. "Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    4. Hinde, John & Demetrio, Clarice G. B., 1998. "Overdispersion: Models and estimation," Computational Statistics & Data Analysis, Elsevier, vol. 27(2), pages 151-170, April.
    5. Cordeiro, Gauss M. & Andrade, Marinho G. & de Castro, Mário, 2009. "Power series generalized nonlinear models," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1155-1166, February.
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    Cited by:

    1. Gning, Lucien & Ndour, Cheikh & Tchuenche, J.M., 2022. "Modeling COVID-19 daily cases in Senegal using a generalized Waring regression model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).

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