References
- Crow , E. L. , Bardwell , G. E. ( 1963 ). Estimation of the parameters of the Hyper-Poisson distributions . In: Classical and Contagious Discrete Distributions , Patil , G. P. , ed. pp. 127 – 140 .
- Dacey , M. F. ( 1972 ). A family of discrete probability distributions defined by the generalized hypergeometric series . Sankhyā, Series B 34 : 243 – 250 .
- Greenwood , M. , Yule , G. U. (1920). An enquiry into the nature of frequency distributions representative of multiple happenings with particular reference of multiple attacks of disease or of repeated accidents. J. Roy. Statist. Soc. 83:255–279.
- Gutiérrez Jáimez , R. , Rodríguez Avi , J. ( 1997 ). Family of Pearson discrete distributions generated by the univariate hypergeometric function 3 F 2(α1, α2, α3; γ1, γ2; λ) . Applied Stochastic Mod. and Data Analy. 13 : 115 – 125 .
- Johnson , N. L. , Kotz , S. , Kemp , A. W. ( 2005 ). Univariate Discrete Distributions. , 3rd ed. New York : Wiley .
- Katti , S. K. , Gurland , J. ( 1961 ). The Poisson Pascal distribution . Biometrics 17 : 527 – 538 .
- Katti , S. K. , Gurland , J. ( 1962 ). Some methods of estimation for the Poisson Binomial distribution . Biometrics 18 : 42 – 51 .
- Kemp , A. W. ( 1968 ). A wide class of discrete distributions and the associated differential equations . Sankhyā, A 30 : 401 – 410 .
- Lagarias , J. C. , Reeds , J. A. , Wright , M. H. , Wright , P. E. ( 1998 ). Convergence properties of the Nelder-Mead simplex method in low dimensions . SIAM J. Optimization 9 ( 1 ): 112 – 147 .
- Marshall , J. ( 1936 ). The distribution and sampling of insect populations in the field with special reference to the American bollworm . Heliothis obsoleta. Fabr. Ann. App. Biol. 23 : 133 – 152 .
- Ord , J. K. ( 1972 ). Families of Frequency Distributions . London : Griffin .
- R Development Core Team ( 2007 ). R: A language and environment for statistical computing . Vienna , Austria : R Foundation for Statistical Computing , URL http://www.R-project.org .
- Rodríguez Avi , J. , Conde Sánchez , A. , Gutiérrez Jáimez , R. ( 2005 ). Computational techniques in the study of discrete distributions generated by the funcion 3 F 2 . J. Statist. Computat. Simul. 75 ( 7 ): 531 – 542 .
- Rodríguez Avi , J. , Conde Sánchez , A. , Sáez Castillo , A. J. ( 2003 ). A new class of discrete distributions with complex parameters . Statist. Pap. 44 : 67 – 88 .
- Rodríguez Avi , J. , Conde Sánchez , A. , Sáez Castillo , A. J. , Olmo Jiménez , M. J. ( 2003 ). Estimation of parameters in gaussian hypergeometric distributions . Commun. Statist. Theo. Meth. 32 ( 6 ): 1101 – 1118 .
- Rodríguez Avi , J. , Conde Sánchez , A. , Sáez Castillo , A. J. , Olmo Jiménez , M. J. ( 2004 ). A triparametric discrete distribution with complex parameters . Statist. Pap. 45 : 81 – 95 .
- Rodríguez Avi , J. , Conde Sánchez , A. , Sáez Castillo , A. J. , Olmo Jiménez , M. J. ( 2005 ). Estimation and inference in complex triparametric pearson distributions . Commun. Statist. Theo. Meth. 34 ( 2 ): 277 – 289 .
- Rodríguez Avi , J. , Conde Sánchez , A. , Sáez Castillo , A. J. , Olmo Jiménez , M. J. ( 2007 ). Gaussian hypergeometric probability distributions for fitting discrete data . Commun. Statist. Theo. Meth. 36 ( 3 ): 453 – 463 .
- Schnabel , R. B. , Koontz , J. E. , Weiss , B. E. ( 1985 ). A modular system of algorithms for unconstrained minimization . ACM Trans. Math. Software 11 : 419 – 440 .
- The Mathworks, Inc., Matlab ( 2002 ). The Language of Technical Computing . Version 6.5, Release 13 .
- Tripathi , R. C. , Gupta , R. C. ( 1985 ). A generalization of the log-series distribution . Commun. Statist. Theo. Meth. 14 : 1779 – 1799 .
- Tripathi , R. C. , Gupta , R. C. , Gurland , J. ( 1994 ). Estimation of parameters in the Beta Binomial model . Ann. Instit. Statist. Math. 46 ( 2 ): 317 – 331 .
- Walker , M. G. ( 1942 ). A mathematical analysis of the distribution in maize of Heliothis armigera Hb. obsoleta F. . Can. J. Res. 20 : 235 – 261 .