JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Bayesian Analysis for the Zero-inflated Regression Models
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Bayesian Analysis for the Zero-inflated Regression Models
Jang, Hak-Jin; Kang, Yun-Hee; Lee, S.; Kim, Seong-W.;
  PDF(new window)
 Abstract
We often encounter the situation that discrete count data have a large portion of zeros. In this case, it is not appropriate to analyze the data based on standard regression models such as the poisson or negative binomial regression models. In this article, we consider Bayesian analysis for two commonly used models. They are zero-inflated poisson and negative binomial regression models. We use the Bayes factor as a model selection tool and computation is proceeded via Markov chain Monte Carlo methods. Crash count data are analyzed to support theoretical results.
 Keywords
Zero-inflated model;Bayesian model selection;Bayes factor;Markov chain Monte Carlo;
 Language
Korean
 Cited by
1.
COTS 하드웨어 컴포넌트 기반 임베디드 소프트웨어 신뢰성 모델링,구태완;백종문;

한국정보과학회논문지:소프트웨어및응용, 2009. vol.36. 8, pp.607-615
2.
제로팽창 음이항 회귀모형에 대한 베이지안 추론,심정숙;이동희;정병철;

응용통계연구, 2011. vol.24. 5, pp.951-961 crossref(new window)
3.
허들모형에 대한 베이지안 추론,선지영;심정숙;정병철;

Journal of the Korean Data Analysis Society, 2014. vol.16. 4B, pp.1837-1847
1.
Bayesian Inference for the Zero In ated Negative Binomial Regression Model, Korean Journal of Applied Statistics, 2011, 24, 5, 951  crossref(new windwow)
 References
1.
임아경, 오만숙 (2006). 영과잉 포아송 회귀모형에 대한 베이지안 추론: 구강위생 자료에의 적용, <응용통계연구>, 19, 505-519

2.
Gelfand, A. E. and Smith, A. F. M. (1990). Sampling based approaches to calculating marginal densities, Journal of the America Statistical Association, 85, 389-409

3.
Geman, S. and Geman, D. (1984). Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721-741 crossref(new window)

4.
Jeffreys, H. (1961). Theory of Probability, (Third edition), Oxford University Press, Oxford

5.
Joshua, S. C. and Garber, N. J. (1990). Estimating truck accident rate and involvements using linear and poisson regression models, Transportation Planning and Technology, 15, 41-58 crossref(new window)

6.
Jovanis, P. P. and Chang, H. L. (1986). Modelling the relationship of accidents to miles traveled, Transportation Research Record, 1068, 42-51

7.
McCulloch, R. and Rossi, P. E. (1991). A bayesian approach to testing the arbitrage pricing theory, Journal of Econometrics, 49, 141-168 crossref(new window)

8.
Miaou, S. P. and Lum, H. (1993). Modeling vehicle accidents and highway geometric design relationships, Accident Analysis and Prevention, 25, 689-709 crossref(new window)

9.
Milton, J. C. and Mannering, F. L. (1998). The relationship among highway geometrics, traffic-related elements and motor-vehicle accident frequencies, Transportation, 25, 395-413 crossref(new window)

10.
Newton, M. A. and Raftery, A. E. (1994). Approximate Bayesian inference with the weighted likelihood bootstrap, Journal of the Royal Statistical Society, Series B, 56, 3-48

11.
Poch, M. and Mannering, F. (1996). Negative binomial analysis of intersection-accident frequencies, Journal of Transportation Engineering, 122, 105-113 crossref(new window)

12.
Raftery, A. E. and Banfield, J. D. (1991). Stopping the Gibbs Sampler, the use of morphology and other issues in spatial statistics, Annals of the Institute of Statistical Mathematics, 43, 32-43

13.
Shankar, V., Mannering, F. L. and Barfield, W. (1995). Effect of roadway geometrics and environmental factors on rural freeway accident frequencies. Accident Analysis and Prevention, 27, 371-389 crossref(new window)

14.
Shankar, V., Milton, J. C. and Mannering, F. L. (1997). Modeling accident frequencies as zero-altered probability process: An empirical inquiry, Accident Analysis and Prevention, 29, 829-837 crossref(new window)

15.
Szabo, R. M. and Khoshgoftaar, T. M. (2000). Exploring a poisson regression fault model: A comparative study, Technical Report TR-CSE-00-56, Florida Atlantic University