Zero Inflated Strict Arcsine Regression Model
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33090
Zero Inflated Strict Arcsine Regression Model

Authors: Y. N. Phang, E. F. Loh

Abstract:

Zero inflated strict arcsine model is a newly developed model which is found to be appropriate in modeling overdispersed count data. In this study, we extend zero inflated strict arcsine model to zero inflated strict arcsine regression model by taking into consideration the extra variability caused by extra zeros and covariates in count data. Maximum likelihood estimation method is used in estimating the parameters for this zero inflated strict arcsine regression model.

Keywords: Overdispersed count data, maximum likelihood estimation, simulated annealing.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1330593

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1755

References:


[1] M. Ridout, C. G. B. Demetrio, and J. Hinde, "Models for count with many zeros", in: Invited Paper Presented at the 19th International Biometric Conference, CapeTown, South Africa, 1998, 178.
[2] S. Gurmu and P. K. Trivedi, "Excess zeros in count models for recreational trips", Journal of Business and Economic Statistics, 14, 1996, 469-477.
[3] K. K. W. Yau and K. C. H. Yip, "On modeling claim frequency data in general insurance with extra zeros". Insurance: Mathematics and Economics Vol. 36, Issue 2, 2005, 153-163.
[4] M. L. Dalrymple, I. L. Hudson, and R. P. K. Ford, "Finite mixture, zeroinflated Poisson and hurdle models with application to SIDS", Computational Statistics & Data Analysis, 41, 2003, 491-504
[5] R. Winkelmann, Econometric Analysis of Count Data. Springe Verlag, Berlin, Heidelberg, 2008.
[6] R. Winkelmann, "Health care reform and the number of doctor visits - An econometric analysis," Journal of Applied Econometrics 19, 2004, 455-472
[7] Y. N. Phang, "Statistical inference for a family of discrete distribution with cubic variance functions", Unpublished PhD thesis, University Malaya, Malaysia, 2007
[8] Y. N. Phang, and E. R. Loh. Proceedings: IASC 2008: Joint Meeting of 4th World Conference of the IASC and 6th Conference of the IASC and 6th conference of the Asian Regional Section of the IASC on Computational Statistic and Data Analysis, Yokohama, Japan, 2008
[9] D.Lambert, "Zero-inflated Poisson regression, with an application to random defects in manufacturing". Technometrics, 34, 1992, 1-14
[10] A. C. Cameron and P. K. Trivedi, "Regression analysis of count data". Cambridge University Press. 1998
[11] D. B. Hall, "Zero inflated Poisson and binomial with random effects: a case study," Biometrics, 56, 2000, 1030-1039
[12] D. Bohning, E. Dietz, P. Schlattman, L. Mendonca and U. Kirchner, "The zero-inflated Poisson model and the decayed, missing and filled teeth index in dental epidemiology". Journal of the Royal Statistical Society, Series A, 1999,162-209
[13] K. K. W. Yau, K. Wang, and A. H.and Lee, "Zero-inflated negative binomial mixed regression Modeling of overdispersed count data with extra zeros". Biometrical Journal 45, 4, 2003, 437-452.
[14] F. Famoye and P. S. Karan, " Zero-Inflated Generalized Poisson Regression Model with an Application to Domestic Violence Data," J of Data Science 4, 2006, 117-130.
[15] A. C. Mehmet, "Zero-inflated regression models for modeling the effect of air pollutants on hospital admissions", Polish Journal of Environment Studies, Vol. 21, No. 3, 2012, 565-568.
[16] B. M. Golam Kibria, " Applicaations of some discrete regression models for count data", Pakistan Journal of Statistics and Operation research, Vol11 No. 1, 2006, 1-16.
[17] G. Letac and M. Mora, "Natural real exponential families with cubic variance functions," The Annals of Statistics, 18, 1990, 1-37.
[18] C. C. Kokonendji and M. Khoudar, "On Strict Arcsine Distribution" Communications in Statistics. Theory Methods,33(5), 2004, pg993-1006
[19] W. L. Goffe., G. Ferrier and, J. John Rogers, "Global optimization of statistical functions with simulated annealing. Journal of Econometric, 60 (1/2), 1994, 65-100