Power series generalized nonlinear models

Barbour, 1974, Fish species diversity in lakes, The American Naturalist, 108, 473, 10.1086/282927 Breslow, 1990, Tests of hypotheses in overdispersed Poisson regression and other quasi-likelihood models, Journal of the American Statistical Association, 85, 565, 10.2307/2289799 Cameron, 1998 Consul, 1989 Consul, 1989, On the differences of two generalized negative binomial variates, Communications in Statistics, Theory and Methods, 18, 673, 10.1080/03610928908829926 Consul, 1990, Geeta distribution and its properties, Communications in Statistics, Theory and Methods, 19, 3051, 10.1080/03610929008830364 Consul, 1990, New class of location-parameter discrete probability distributions and their characterizations, Communications in Statistics, Theory and Methods, 19, 4653, 10.1080/03610929008830465 Consul, 1986, On the unimodality of the generalized negative binomial distribution, Statistica Neerlandica, 40, 141, 10.1111/j.1467-9574.1986.tb01510.x Consul, 1992, Generalized Poisson regression model, Communications in Statistics, Theory and Methods, 21, 89, 10.1080/03610929208830766 Consul, 1995, On the generalized negative binomial-distribution, Communications in Statistics, Theory and Methods, 24, 459, 10.1080/03610929508831500 Consul, 1980, The generalized negative binomial distribution and its characterization by zero regression, SIAM Journal on Applied Mathematics, 39, 231, 10.1137/0139020 Consul, 1972, Use of Lagrange expansion for generating discrete generalized probability distributions, SIAM Journal on Applied Mathematics, 23, 239, 10.1137/0123026 Consul, 1973, Some interesting properties of Lagrangian distributions, Communications in Statistics, Theory and Methods, 2, 263, 10.1080/03610927308827073 Cordeiro, 1983, Improved likelihood ratio statistics for generalized linear models, Journal of the Royal Statistical Society, B45, 404 Cordeiro, 1987, On the corrections to the likelihood ratio statistics, Biometrika, 74, 265, 10.1093/biomet/74.2.265 Cordeiro, 1989, Improved likelihood ratio statistics for exponential family nonlinear models, Biometrika, 76, 93, 10.1093/biomet/76.1.93 Cox, 1974 Famoye, 1997, Parameter estimation for generalized negative binomial distribution, Communications in Statistics, Theory and Methods, 26, 269 Famoye, 1989, Confidence interval estimation in the class of modified power series distributions, Statistics, 20, 141, 10.1080/02331888908802153 Gupta, 1982, Probability generating functions of a MPSD with applications, Mathematische Operationsforschung und Statistik Series Statistics, 13, 99 Gupta, 1974, Modified power series distribution and some of its applications, Sankhyā, B36, 288 Jani, 1978, On modified power series distribution, Metron, 36, 173 Jørgensen, 1997 Kumar, 1979, Negative moments of a modified power series distribution and bias of the maximum likelihood estimator, Communications in Statistics, Theory and Methods, 8, 151, 10.1080/03610927908827746 Kumar, 1980, Minimum variance unbiased estimation for modified power series distribution, Communications in Statistics, Theory and Methods, 9, 1261, 10.1080/03610928008827957 Lawless, 1987, Negative binomial and mixed Poisson regression, Canadian Journal of Statistics, 15, 209, 10.2307/3314912 McCullagh, 1989 R Development Core Team, 2008. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria Rigby, 2005, Generalized additive models for location, scale and shape (with discussion), Applied Statistics, 54, 507 Rigby, 2008, A framework for modelling overdispersed count data, including the Poisson-shifted generalized inverse Gaussian distribution, Computational Statistics and Data Analysis, 53, 381, 10.1016/j.csda.2008.07.043 Stasinopoulos, 2007, Generalized additive models for location, scale and shape (GAMLSS) in R, Journal of Statistical Software, 23, 1, 10.18637/jss.v023.i07 Tripathi, 1985, A generalization of the log-series distribution, Communications in Statistics, Theory and Methods, 14, 1779, 10.1080/03610928508829014