Zero Truncated Strict Arcsine Model
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33104
Zero Truncated Strict Arcsine Model

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

Abstract:

The zero truncated model is usually used in modeling count data without zero. It is the opposite of zero inflated model. Zero truncated Poisson and zero truncated negative binomial models are discussed and used by some researchers in analyzing the abundance of rare species and hospital stay. Zero truncated models are used as the base in developing hurdle models. In this study, we developed a new model, the zero truncated strict arcsine model, which can be used as an alternative model in modeling count data without zero and with extra variation. Two simulated and one real life data sets are used and fitted into this developed model. The results show that the model provides a good fit to the data. Maximum likelihood estimation method is used in estimating the parameters.

Keywords: Hurdle models, maximum likelihood estimation method, positive count data.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1087233

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1857

References:


[1] G. J. McLachlan, “On the EM algorithm for overdispersed count data,” Statistical Methods in Medical Research 6, 1997,76-98
[2] J. N. S. Mathews and D. R. Appleton, “An application of the truncated Poisson distribution to immunogold assay,” Biometrics, 49, 1993, 617- 621.
[3] M. D. Creel andj. B. Loomis, “ Theoretical and empirical advantages of truncated count data estimators for analysis of deer hunting in California,” American Journal of Agricultural Economics, 72(2), 1990, 434-441.
[4] A. H. Welsh, R. B. Cunningham, C. G. Donelty, D. B. Lindenmayer, “Modeling the abundance of rare species: statistical models for counts with extra zeros”. Ecological Modeling 88, 1996, 297-308.
[5] A. H. Welsh, R. B. Cunningham, R. L. Chambers, “Methodology for estimating the abundance of rare animals: seabird nesting on north eash Herald Cay”. Biometrics, 56, 2000, 22-30.
[6] A. H. Lee, k. Wang, K. K. W. Yau and P. J. Somerford, “ Truncated negative binomial mixed regression modelling of ischaemic stroke hospitalizations,” Statistics in Medicine, 22, 2003, 1129-1139.
[7] J. T. Grogger and R. T. Carson, ‘ Models for truncated counts.” Journal of Applied Econometrics, 1991, 6, 225-238.
[8] S. Gurmu, “ Tests for detecting overdispersion in the positive Poisson regression model,” Journal of the Business and Economic Statistics; 1991,9, 215-222.
[9] J. Kennan, “The duration of contract strikes in U. S. manufacturing,” Journal of Econometric, 1985, 28, 5-28.
[10] M. E. Ghitany, D. K. Al-mutairi and S. Nadarajah, “ Zero-truncated Poisson-Lindley distribution an its application,” Mathematics and Computers in Simulation, 2008, 79, 279-287.
[11] H. H. Thygesen and A. Zwinderman, “Modeling Sage data with a truncated gamma-Poisson model,” BMC Bioinformatics 2006, 7, 157.
[12] G. Letac and M. Mora, “Natural real exponential families with cubic variance functions,” The Annals of Statistics, 18, 1990, 1-37.
[13] C. C. Kokonendji and M. Khoudar, “On Strict Arcsine Distribution” Communications in Statistics. Theory Methods,33(5), 2004, pg993- 1006
[14] 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.
[15] S. Kirkpatrick, C. D. Gelatt Jr., M. P. Vecchi, "Optimization by Simulated Annealing",Science, 220, 4598, 671-680, 1983.