A general location model with zero-inflated counts and skew normal outcomes

References

• A. Azzalini, A class of distributions which includes the normal ones, Scand. J. Stat. 12 (1985), pp. 171–178.
   Web of Science ®Google Scholar
• A. Azzalini and A. Capitanio, Statistical applications of the multivariate skew normal distribution, J. R. Stat. Soc. Ser. B (Stat. Methodol.) 61 (1999), pp. 579–602. doi: 10.1111/1467-9868.00194
   Web of Science ®Google Scholar
• A. Azzalini and A. Dalla Valle, The multivariate skew-normal distribution, Biometrika 83 (1996), pp. 715–726. doi: 10.1093/biomet/83.4.715
   Web of Science ®Google Scholar
• R.B. D'Agostino, Transformation to normality of the null distribution of g1, Biometrika 60 (1970), pp. 679–681.
   Google Scholar
• M.G. Genton, L. He, and X. Liu, Moments of skew-normal random vectors and their quadratic forms, Stat. Probab. Lett. 51 (2001), pp. 319–325. doi: 10.1016/S0167-7152(00)00164-4
   Web of Science ®Google Scholar
• S.K. Ghosh, P. Mukhopadhyay, and J.-C. Lu, Bayesian analysis of zero-inflated regression models, J. Stat. Plann. Inference 136 (2006), pp. 1360–1375. doi: 10.1016/j.jspi.2004.10.008
   Web of Science ®Google Scholar
• P.L. Gupta, R.C. Gupta, and R.C. Tripathi, Analysis of zero-adjusted count data, Comput. Stat. Data Anal. 23 (1996), pp. 207–218. doi: 10.1016/S0167-9473(96)00032-1
   Web of Science ®Google Scholar
• D.B. Hall, Zero-inflated Poisson and binomial regression with random effects: A case study, Biometrics 56 (2000), pp. 1030–1039. doi: 10.1111/j.0006-341X.2000.01030.x
   PubMed Web of Science ®Google Scholar
• D. Lambert, Zero-inflated Poisson regression, with an application to defects in manufacturing, Technometrics 34 (1992), pp. 1–14. doi: 10.2307/1269547
   Web of Science ®Google Scholar
• D. Leon and R. Alexander, General mixed data model: Extension of general location and grouped continuous models, Can. J. Stat. 35 (2007), pp. 533–548. doi: 10.1002/cjs.5550350405
   Web of Science ®Google Scholar
• H. Liu and D.A. Powers, Bayesian inference for zero-inflated poisson regression models, J. Stat. Adv. Theory Appl. 7 (2012), pp. 155–188.
   Google Scholar
• C. Liu and D.B. Rubin, Ellipsoidally symmetric extensions of the general location model for mixed categorical and continuous data, Biometrika 85 (1998), pp. 673–688. doi: 10.1093/biomet/85.3.673
   Web of Science ®Google Scholar
• I. Olkin and R.F. Tate, Multivariate correlation models with mixed discrete and continuous variables, Ann. Math. Stat. 32 (1961), pp. 448–465. doi: 10.1214/aoms/1177705052
   Google Scholar
• Y. Peng, R.J.A. Little, and T.E. Raghunathan, An extended general location model for causal inferences from data subject to noncompliance and missing values, Biometrics 60 (2004), pp. 598–607. doi: 10.1111/j.0006-341X.2004.00208.x
   PubMed Web of Science ®Google Scholar
• W. Pohlmeier and V. Ulrich, An econometric model of the two-part  decision making process in the demand for health care, J. Human Resour. 30 (1995), pp. 339–361. doi: 10.2307/146123
   Web of Science ®Google Scholar
• S.K. Sahu, D.K. Dey, and M.D. Branco, A new class of multivariate skew distributions with applications to Bayesian regression models, Can. J. Stat. 31 (2003), pp. 129–150. doi: 10.2307/3316064
   Web of Science ®Google Scholar
• E.B. Samani, M. Ganjali, and Y. Amirian, Zero-inflated power series joint model to analyze count data with missing responses, J. Stat. Theory Pract. 6 (2012), pp. 334–343. doi: 10.1080/15598608.2012.673892
   Google Scholar
• Q.H. Vuong, Likelihood ratio tests for model selection and non-nested hypotheses, Econometrica 57 (1989), pp. 307–333. doi: 10.2307/1912557
   Web of Science ®Google Scholar
• L.-C. Wu, Variable selection in joint location and scale models of the skew-t-normal distribution, Commun. Stat. Simul. Comput. 43 (2014), pp. 615–630. doi: 10.1080/03610918.2012.712182
   Web of Science ®Google Scholar
• L.-C. Wu, Z.-Z. Zhang, and D.-K. Xu, Variable selection in joint location and scale models of the skew-normal distribution, J. Stat. Comput. Simul. 83 (2013), pp. 1266–1278. doi: 10.1080/00949655.2012.657198
   Web of Science ®Google Scholar