Al-Osh, M. A. and Aly, E. E. A. A. (1992). First order autoregressive time series with negative binomial and geometric marginals, Communications in Statistics-Theory and Methods, 21, 2483–2492.
Al-Osh, M. A. and Alzaid, A. A. (1987). First-order integer-valued autoregressive(INAR(1)) process, Journal of Time Series Analysis, 8, 261–275.
Alzaid, A. A. and Al-Osh, M. A. (1993). Some autoregressive moving average processes with generalized Poisson, Annals of the Institute of Statistical Mathematics, 45, 223–232.
Consul, P. C. and Jain, G. C. (1973). A generalized Poisson distribution, Technometrics, 15, 791–799.
Freeland, K. (1998). Statistical analysis of discrete time series with application to the analysis of
workers compensation claims data, PhD thesis, University of British Columbia.
Joe, H. (1996). Time series models with univariate margins in the convolution-closed infinitely divisible class, Journal of Applied Probability, 33, 664–677.
Joe, H. and Zhu, R. (2005). Generalized Poisson distribution: The property of mixture of Poisson and comparison with negative binomial distribution, Biometrical Journal, 47, 219–229.
Jung, R. C. and Tremayne, A. R. (2003). Testing for serial dependence in time series models of counts, Journal of Time Series Analysis, 24, 65–84.
Jung, R. C. and Tremayne, A. R. (2006). Binomial thinning models for integer time series, Statistical Modelling, 6, 81–96.
Ljung, G. M. and Box, G. E. P. (1978). On a measure of lack of fit in time series models, Biometrika, 65, 297–303.
McKenzie, E. (1985). Some simple models for discrete variate time series, Water Resour Bulletin, 21, 645–650.
Mills, T. M. and Seneta, E. (1989). Goodness-of-fit for a branching process with immigration using sample partial autocorrelations, Stochastic Processes and Their Applications, 33, 151–161.
Nikoloulopoulos, A. K. and Karlis, D. (2008). On modeling count data: A comparison of some well-known discrete distributions, Journal of Statistical Computation and Simulation, 78, 437–457.
Steutel, F. W. and van Harn, K. (1979). Discrete analogues of self-decomposability and stability, The Annals of Probability, 7, 893–899.
Venkataraman, K. N. (1982). A time series approach to the study of the simple subcritical Galton Watson process with immigration, Advances in Applied Probability, 14, 1-20.
Wald, A. and Wolfowitz, J. (1940). On a test whether two samples are from the same population, Annals of Mathematical Statistics, 11, 147–162.
Weiss, C. H. (2008). Thinning operations for modeling time series of counts-a survey, Advances in Statistical Analysis, 92, 319–341.
Zheng, H., Basawa, I. V. and Datta, S. (2007). First-order random coefficient integer-valued autore-gressive processes, Journal of Statistical Planning and Inference, 137, 212–229.