Testing for varying zero-inflation and dispersion in generalized Poisson regression models

Journal of Applied Statistics

Volumn 37, Issue 9, 2010, Pages 1509-1522

  Xie, Feng Chang ^a,b   Lin, Jin Guan ^b   Wei, Bo Cheng ^b  

^a NANJING AGRICULTURAL UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

Dispersion; Generalized Poisson regression models; Score test; Simulation study; Test of homogeneity; Zero inflation

Indexed keywords

EID: 77956414245     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664760903055442     Document Type: Article

References (23)

1. S. Bae, F. Famoye, J.T. Wulu, A.A. Bartolucci, and K.P. Singh, A rich family of generalized Poisson regression models, Math. Comput. Simul. 69(1-2) (2005), pp. 4-11.
2. A.C. Cameron and P.K Trivedi, Regression Analysis of Count Data, Econometric Society Monograph No 30, Cambridge University Press, NewYork, 1998.
3. C.F. Chen, Score test for regression models, J. Amer. Statist. Assoc. 78 (1983), pp. 158-161.
4. P.C. Consul, Generalized Poisson distribution: Properties and Applications, Marcel Dekker, New york, 1989.
5. P.C. Consul and F. Famoye, Generalized Poisson regression model, Comm. Statist. Theory Methods 21 (1992), pp. 81-109.
6. R.D. Cook and S. Weisberg, Diagnostics for heteroscedasticity in regression, Biometrika 70 (1983), pp. 1-10.
7. D.R. Cox and D.V. Hinkley, Theoretical Statistics, Chapman & Hall, London, 1974.
8. C. Czado, V. Erhardt, A. Min, and S. Wagner, Zero-inflated generalized Poisson models with regression effects on the mean, dispersion and zero-inflation level applied to patent outsourcing rates, Statist. Model. 7 (2007), pp. 125-153.
9. F. Famoye, Restricted generalized Poisson regression model, Comm. Statist. Theory Methods 22 (1993), pp. 1335-1354.
10. F. Famoye and K. P. Singh, On inflated generalized Poisson regression models, Adv. Appl. Stat. 3(2) (2003), pp. 145-158.
11. F. Famoye and K.P. Singh, Zero-inflated generalized Poisson model with an application to domestic violence data, J. Data Sci 4(1) (2006), pp. 117-130.
12. P.L. Gupta, R.C. Gupta, and R.C. Tripathi, Score test for zero inflated generalized Poisson regression model, Comm. Statist. Theory Methods 33(1) (2004), pp. 47-64.
13. N. Jansakul and J.P. Hinde, Score tests for zero-inflated Poisson models, Comput. Statist. Data Anal. 40 (2002), pp. 75-96.
14. D. Karlis, A general EM approach for maximum likelihood estimation in mixed Poisson regression models, Statist. Model. 1 (2001), pp. 305-318.
15. J.G. Lin, B.C. Wei, and N.S. Zhang, Varying dispersion diagnostics for inverse Gaussian regression models, J.Appl. Statist. 31(10) (2004), pp. 1157-1170.
16. C. Sellar, J.R. Stoll, and J.P. Chavas, Validation of empirical measures of welfare change:A comparison of nonmarket techniques, Land Econ. 61 (1985), pp. 156-175.
17. J.S. Simonoff and C.L. Tsai, Improved tests for nonconstant variance in regression based on the modified profile likelihood, Appl. Statist. 43 (1994), pp. 357-370.
18. G.K. Smyth, Generalized linear models with varying dispersion, J. Roy. Statist. Soc. Ser. B 51 (1989), pp. 47-60.
19. C.L. Tsai, Score test for the first-order autoregressive model with heteroscedasticity, Biometrika 73 (1986), pp. 455-460.
20. B.C. Wei, J.Q. Shi, W.K. Fung, and Y.Q. Hu, Testing for varying dispersion in exponential family nonlinear models, Ann. Inst. Statist. Math. 50(2) (1998), pp. 277-294.
21. G.A. Whitmore, A regression method for censored inverse Gaussian data. Canad. J. Statist. 11(4) (1983), pp. 305-315.
22. M. Woldie, J.L. Folks, and J.P. Chandler, Power function for inverse Gaussian regression models, Comm. Statist. Theory Methods 30(5) (2001), pp. 787-797.
23. F.C. Xie and B.C. Wei, Diagnostics analysis for log-Birnbaum-Saunders regression models, Comput. Statist. Data Anal. 51(9) (2007), pp. 4692-4706.