References
- Ambagaspitiya , R. and Balakrishnan , N. 1994 . On the compound generalized Poisson distributions . Astin Bull. , 24 : 255 – 263 . (doi:10.2143/AST.24.2.2005069)
- Aragon , J. , Eberly , D. and Eberly , S. 1992 . Existence and uniqueness of the maximum likelihood estimator for the two-parameter negative binomial distribution . Stat. Probab. Lett. , 15 : 375 – 379 . (doi:10.1016/0167-7152(92)90157-Z)
- Cameron , C. , Trivedi , P. K. , Milne , F. and Piggott , J. 1988 . A microeconomic model of the demand for health care and health insurance in Australia . Rev. Econom. Stud. , 55 : 85 – 106 . (doi:10.2307/2297531)
- Ciu , Y. , Kim , D. Y. and Zhu , J. 2006 . On the generalized Poisson regression mixture model for mapping quantitative trait loci with count data . Genetics , 174 : 2159 – 2172 . (doi:10.1534/genetics.106.061960)
- Consul , P. 1979 . Generalized Poisson Distributions , New York : Marcel Dekker, Inc . Statistics: Textbooks and Monographs
- Consul , P. C. 1989 . Generalized Poisson Distribution – Properties and Applications , New York and Basel : Marcell Dekker Inc .
- Consul , P. and Famoye , F. 1992 . Generalized Poisson regression model . Comm. Stat. Theory Methods , 21 : 89 – 109 . (doi:10.1080/03610929208830766)
- Consul , P. and Jain , G. 1970 . A generalization of the Poisson distribution . Technometrics , 15 : 791 – 799 . (doi:10.1080/00401706.1973.10489112)
- Corless , R. M. , Gonnet , G. H. , Hare , D. E.G. , Jeffrey , D. J. and Knuth , D. E. 1996 . On the Lambert W function . Adv. Comput. Math. , 5 : 329 – 359 . (doi:10.1007/BF02124750)
- Czado , C. , Erhardt , V. , Min , A. and Wagner , S. 2007 . Zero-inflated generalised Poisson models with regression effects on the mean, dispersion and zero-inflation level applied to patent outsourcing rates . Statist. Model. , 7 : 125 – 153 . (doi:10.1177/1471082X0700700202)
- Deb , P. and Trivedi , P. 1997 . Demand for medical care by the elderly: A finite mixture approach . J. Appl. Econom. , 12 : 313 – 336 . (doi:10.1002/(SICI)1099-1255(199705)12:3<313::AID-JAE440>3.0.CO;2-G)
- Dunn , J. 1967 . Characterization of the bivariate negative binomial distribution . Arkansas Acad. Sci. Proc. , 21 : 77 – 86 .
- Efron , B. 1986 . Double exponential families and their use in generalized linear regression . J. Am. Statist. Assoc. , 81 : 709 – 721 . (doi:10.1080/01621459.1986.10478327)
- Famoye , F. 1993 . Restricted generalised Poisson regression model . Comm. Stat. Theory Methods , 22 : 1335 – 1354 . (doi:10.1080/03610929308831089)
- Famoye , F. 2010 . A new bivariate generalized Poisson distribution . Statist. Neerlandica , 64 : 112 – 124 . (doi:10.1111/j.1467-9574.2009.00446.x)
- Glaser , M. and Weber , M. 2009 . Which past returns affect trading volume? . J. Financ. Markets , 12 : 1 – 31 . (doi:10.1016/j.finmar.2008.03.001)
- Gurmu , S. and Elder , J. 2007 . A simple bivariate count data regression model . Econom. Bull. , 3 : 1 – 10 .
- Gurmu , S. and Elder , J. 2008 . A bivariate zero-inflated count data regression model with unrestricted correlation . Econom. Lett. , 100 : 245 – 248 . (doi:10.1016/j.econlet.2008.02.001)
- Gurmu , S. and Elder , J. 2011 . “ Flexible bivariate count data regression models ” . Tech. Rep. 11-33, Department of Economics, Andrew Young School of Policy Studies
- Hellström , J. 2006 . A bivariate count data model for household tourism demand . J. Appl. Econom. , 21 : 213 – 226 . (doi:10.1002/jae.812)
- Hilbe , J. 2008 . Negative Binomial Regression , Cambridge : Cambridge University Press .
- Ho , W. Y. , Wang , P. and Alba , J. 2009 . Merger and acquisition FDI, relative wealth and relative access to bank credit: Evidence from a bivariate zero-inflated count model . Int. Rev. Econ. Finance , 18 : 26 – 30 . (doi:10.1016/j.iref.2008.02.008)
- Ichinose , D. and Yamamoto , M. 2011 . On the relationship between the provision of waste management service and illegal dumping . Resource Energy Econom. , 33 : 79 – 93 . (doi:10.1016/j.reseneeco.2010.01.002)
- Karlis , D. and Ntzoufras , I. 2003 . Analysis of sports data by using bivariate Poisson models . Statistician , 52 : 381 – 393 .
- Karlis , D. and Ntzoufras , I. 2005 . Bivariate Poisson and diagonal inflated bivariate Poisson regression models in R . J. Statist. Softw. , 14 : 1 – 36 .
- Kocherlakota , S. and Kocherlakota , K. 1992 . Bivariate Discrete Distributions , New York : Marcel Dekker Inc .
- Kocherlakota , S. and Kocherlakota , K. 2001 . Regression in the bivariate Poisson distribution . Comm. Stat. Theory Methods , 30 : 815 – 825 . (doi:10.1081/STA-100002259)
- Kollias , C. , Messis , P. , Mylonidis , N. and Paleologou , S. N. 2009 . Terrorism and the effectiveness of security spending in Greece: Policy implications of some empirical findings . J. Policy Model. , 31 : 788 – 802 . (doi:10.1016/j.jpolmod.2008.09.008)
- Lai , C. 1995 . Construction of bivariate distributions by a generalised trivariate reduction technique . Stat. Probab. Lett. , 25 : 265 – 270 . (doi:10.1016/0167-7152(94)00230-6)
- Lakshminarayana , J. , Pandit , S. and Rao , K. 1999 . On a bivariate Poisson distribution . Comm. Stat. Theory Methods , 28 : 267 – 276 . (doi:10.1080/03610929908832297)
- Lee , M. L.T. 1996 . Properties and applications of the Sarmanov family of bivariate distributions . Comm. Stat. Theory Methods , 25 : 1207 – 1222 . (doi:10.1080/03610929608831759)
- Li , Z. , Osborne , M. and Prvan , T. 2003 . Numerical algorithms for constrained maximum likelihood estimation . ANZIAM J. , 45 : 91 – 114 . (doi:10.1017/S1446181100013171)
- Lord , D. and Mannering , F. 2010 . The statistical analysis of crash-frequency data: A review and assessment of methodological alternatives . Transp. Res. A , 44 : 291 – 305 .
- McCullagh , P. and Nelder , J. 1989 . Generalized Linear Models , Boca Raton : Chapman and Hall/CRC . Monographs on Statistics and Applied Probability
- Mingers , J. and Xu , F. 2010 . The drivers of citations in management science journals . Eur. J. Oper. Res. , 205 : 422 – 430 . (doi:10.1016/j.ejor.2009.12.008)
- Miravete , E. J. 2010 . “ A multivariate Sarmanov count data model ” . cEPR Discussion Paper 7463
- van Ophemvan , H. 1999 . A general method to estimate correlated discrete random variables . Econometric Theory , 15 : 228 – 237 .
- Rock , S. , Sedo , S. and Willenborg , M. 2003 . Analyst following and count-data econometrics . J. Accounting Econ. , 30 : 351 – 373 . (doi:10.1016/S0165-4101(01)00012-X)
- Sarmanov , O. 1966 . Generalized normal correlation and two-dimensional Frechet classes . Soviet Math. Dokl. , 168 : 596 – 599 .
- Wang , P. 2003 . A bivariate zero-inflated negative binomial regression model for count data with excess zeros . Econom. Lett. , 78 : 373 – 378 . (doi:10.1016/S0165-1765(02)00262-8)
- Winkelmann , R. 2008 . Economic Analysis of Count Data , 5 , Berlin Heidelberg : Springer .