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Longitudinal Data Estimating Equations for Dispersion Models

Author

Listed:
  • Rinaldo Artes
  • Bent Jørgensen

Abstract

Liang & Zeger's generalized estimating equation approach for analysis of longitudinal data is extended to marginal distributions of dispersion model type. This includes for example the von Mises and simplex distributions, suitable for angles and proportions, respectively. Both modelling of position and joint modelling of position and dispersion is considered, and the method is applied to a set of bird orientation data.

Suggested Citation

  • Rinaldo Artes & Bent Jørgensen, 2000. "Longitudinal Data Estimating Equations for Dispersion Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 321-334, June.
    • Handle: RePEc:bla:scjsta:v:27:y:2000:i:2:p:321-334
    DOI: 10.1111/1467-9469.00192
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    Cited by:

    1. Aline B. Tsuyuguchi & Gilberto A. Paula & Michelli Barros, 2020. "Analysis of correlated Birnbaum–Saunders data based on estimating equations," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 661-681, September.
    2. Venezuela, Maria Kelly & Sandoval, Mônica Carneiro & Botter, Denise Aparecida, 2011. "Local influence in estimating equations," Computational Statistics & Data Analysis, Elsevier, vol. 55(4), pages 1867-1883, April.
    3. Xia, Tian & Wang, Yuebao, 2010. "A note on the properties of the reproductive dispersion model," Statistics & Probability Letters, Elsevier, vol. 80(17-18), pages 1397-1404, September.
    4. Nuñez-Antonio, Gabriel & Gutiérrez-Peña, Eduardo, 2014. "A Bayesian model for longitudinal circular data based on the projected normal distribution," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 506-519.
    5. Núñez-Antonio, Gabriel & Gutiérrez-Peña, Eduardo, 2011. "A Bayesian model for longitudinal circular data," DES - Working Papers. Statistics and Econometrics. WS ws112720, Universidad Carlos III de Madrid. Departamento de Estadística.

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