A general class of zero-or-one inflated beta regression models

Akaike, 1974, A new look at the statistical model identification, IEEE Transactions on Automatic Control, 19, 716, 10.1109/TAC.1974.1100705 Atkinson, 1985 Cook, 2008, Regression analysis of proportions in finance with self selection, Journal of Empirical Finance, 15, 860, 10.1016/j.jempfin.2008.02.001 Cook, 1982 Cox, 1974 Cox, 1987, Parameter orthogonality and approximate conditional inference (with discussion), Journal of the Royal Statistical Society. Series B, 49, 1 Cox, 1968, A general definition of residuals, Journal of the Royal Statistical Society. Series B, 30, 248 Cox, 1989 Dunn, 1996, Randomized quantile residuals, Journal of Computational and Graphical Statistics, 5, 236, 10.2307/1390802 Espinheira, 2008, Influence diagnostics in beta regression, Computational Statistics and Data Analysis, 52, 4417, 10.1016/j.csda.2008.02.028 Espinheira, 2008, On beta regression residuals, Journal of Applied Statistics, 35, 407, 10.1080/02664760701834931 Fahrmeir, 1985, Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models, Annals of Statistics, 13, 342, 10.1214/aos/1176346597 Ferrari, 2004, Beta regression for modelling rates and proportions, Journal of Applied Statistics, 7, 799, 10.1080/0266476042000214501 Ferrari, 2010, Improved likelihood inference in beta regression, Journal of Statistical Computation and Simulation Hoff, 2007, Second stage DEA: comparison of approaches for modelling the DEA score, European Journal of Operational Research, 181, 425, 10.1016/j.ejor.2006.05.019 Ihaka, 1996, R: a language for data analysis and graphics, Journal of Computational and Graphical Statistics, 5, 299, 10.2307/1390807 Johnson, 1995 Kieschnick, 2003, Regression analysis of variates observed on (0,1): percentages, proportions, and fractions, Statistical Modelling, 3, 1, 10.1191/1471082X03st053oa Korhonen, 2007, Local models for forest canopy cover with beta regression, Silva Fennica, 41, 671, 10.14214/sf.275 McCullagh, 1989 McFadden, 1974, Conditional logit analysis of qualitative choice behavior, 105 Moolgavkar, 1984, Geometric approach to nonlinear regression diagnostic with application to matched case-control studies, Annals of Statistics, 12, 816, 10.1214/aos/1176346704 Ospina, R., 2006. The zero-inflated beta distribution for fitting a GAMLSS. Extra distributions to be used for GAMLSS modelling. Available at gamlss.dist package. http://www.gamlss.org. Ospina, 2010, Inflated beta distributions, Statistical Papers, 51, 111, 10.1007/s00362-008-0125-4 Pace, 1997, vol. 4 Paolino, 2001, Maximum likelihood estimation of models with beta-distributed dependent variables, Political Analysis, 9, 325, 10.1093/oxfordjournals.pan.a004873 Pereira, T.L., Cribari-Neto, F., 2011. A test for correct model specification in inflated beta regressions. Working Paper. Department of Statistics, Federal University of Pernambuco. Press, 1992 Ramalho, 2011, Alternative estimating and testing empirical strategies for fractional regression models, Journal of Economic Surveys, 25, 19, 10.1111/j.1467-6419.2009.00602.x Ramsey, 1969, Tests for specification errors in classical linear least squares regression analysis, Journal of the Royal Statistical Society B, 31, 350 Rao, 1973 Rigby, 2005, Generalized additive models for location, scale and shape (with discussion), Applied Statistics, 54, 507 Schwarz, 1978, Estimating the dimension of a mode, Annals of Statistics, 6, 461, 10.1214/aos/1176344136 Simas, 2010, Improved estimators for a general class of beta regression models, Computational Statistics & Data Analysis, 54, 348, 10.1016/j.csda.2009.08.017 Smithson, M., Merkle, E.C., Verkuilen, J., 2011. Beta regression finite mixture models of polarization and priming. Journal of Educational and Behavioral Statistics, in press (doi:10.3102/1076998610396893). Smithson, 2006, A better lemon squeezer? maximum likelihood regression with beta distributed dependent variables, Psychological Methods, 11, 54, 10.1037/1082-989X.11.1.54 Stasinopoulos, 2007, Generalized additive models for location scale and shape (GAMLSS) in R, Journal of Statistical Software, 23, 1, 10.18637/jss.v023.i07 Venables, 2002 Wei, 1998 Yoo, 2004, A note on an approximation of the mobile communications expenditures distribution function using a mixture model, Journal of Applied Statistics, 31, 747, 10.1080/0266476042000214475