Surdispersion et modèle binomial négatif généralisé
Revue de Statistique Appliquée, Tome 50 (2002) no. 3, pp. 73-86. 
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     author = {Jourdan, Astrid and Kokonendji, C\'elestin C.},
     title = {Surdispersion et mod\`ele binomial n\'egatif g\'en\'eralis\'e},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {73--86},
     publisher = {Soci\'et\'e fran\c{c}aise de statistique},
     volume = {50},
     number = {3},
     year = {2002},
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     url = {http://archive.numdam.org/item/RSA_2002__50_3_73_0/}
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Jourdan, Astrid; Kokonendji, Célestin C. Surdispersion et modèle binomial négatif généralisé. Revue de Statistique Appliquée, Tome 50 (2002) no. 3, pp. 73-86. http://archive.numdam.org/item/RSA_2002__50_3_73_0/

Anscombe, F.J. (1950), Sampling theory of the negative binomial and logarithmic series distributions, Biometrika 37, 358-382. | MR | Zbl

Breslow, N. (1984), Extra-Poisson variation in log-linear models, Applied Statistics 33, 38-44.

Castillo, J. ET Pérez-Casany, M. (1998), Weighted poisson distribution for overdispersion and underdispersion situations, Ann. Inst. Statist. Math. 50, 567-585. | MR | Zbl

Consul, P.C. (1989), Generalized Poisson Distributions, Marcel Dekker, New York. | MR | Zbl

Cox, D.R. (1983), Some remarks on overdispersion, Biometrika 70, 269-274. | MR | Zbl

Dieudonné, J. (1971). Infinitesimal Calculus, Houghton Mifflin, Boston. | MR

Efron, B. (1986), Double exponential families and their use in generalized linear regression, J. Amer. Statist. Assoc. 81, 709- 721. | MR | Zbl

Famoye, F. (1997), Parameter estimation for generalized negative binomial distribtution, Comm. Statist.-simula 26, 269- 279. | MR | Zbl

Gelfand A.E. ET Dalal, S.R.A. (1990), A note on overdispersed exponential families, Biometrika 77, 55-64. | MR | Zbl

Giano L.M. ET Schafer, D.W. (1992), Diagnostics for overdispersion, J. Amer. Statist. Assoc. 87, 795-804.

Greenwood M. ET Yule, G.U. (1920), An inquiry into the nature of frequency distributions representative of multiple happenings with particular referee to the occurrence of multiple attacks of disease or of repeated accidents, J. R. Statist. Soc. Ser. A 83, 255- 279.

Gupta, R.C. (1977). Minimum variance unbiased estimation in a modified power series distributions, Comm. Statist. 10, 977- 991. | MR | Zbl

Harris, T.E. (1963). The Theory of Branching Processes, Springer-Verlag, Berlin. | MR | Zbl

Hassairi, A. (1992), La classification des familles exponentielles naturelles sur Rn par l'action du groupe linéaire de Rn+1. C. R. Acad. Sci. Paris Sér. I 315, 207-210. | MR | Zbl

Hinde J.P. ET Demétrio, C.G.B. (1996), Modelling with overdispersion, In Statistical Modelling Proceedings of the 11th International Workshop on Statistical Modelling, (ed. Fratra, A.), 200-207.

Holgate, P. (1970), The modality of some compound Poisson distributions, Biometrika 57, 666-667. | Zbl

Jain, G.C. ET Consul, P.C. (1971), A generalized negative binomial distribution, SIAM J. Appl. Math. 21, 501-513. | MR | Zbl

Johnson, N.L., , S. Kotz Kemp, A.W. (1992), Univariate Discrete Distributions, Second Edition, John Wiley & Sons, New York. | MR | Zbl

Jørgensen, B. (1997), The theory of dispersion models, Chapman & Hall, London. | MR | Zbl

Kokonendji, C.C. (1994), Exponential families with variance functions √Δ P(√Δ): Seshadri's class, Test 3, 123-172. | Zbl

Kokonendji, C.C. (1999), Le problème d'Anscombe pour les lois binomiales négatives généralisées, Canadian J. Statist. 27, 199- 205. | MR | Zbl

Kokonendji, C.C. (2001), First passage times on zero and one and natural exponential families, Statist. Probab. Letters 51, 293- 298. | MR | Zbl

Kotz, S., , N. Balakrishnan Johnson, N.L. (2000), Continuous multivariate distributions, Volume 1: Models and Applications, Wiley, NewYork, 2nd édition. | MR | Zbl

Letac G. ET Mora, M. (1990), Natural real exponential families with cubic variance functions, Ann. Statist. 18, 1-37. | MR | Zbl

Levin B. ET Reeds, J. (1977), Compound multinomial likelihood functions are unimodal : proof of a conjecture of I. J. Good, Ann. Statist. 5, 79-87. | MR | Zbl

Mccullagh, P. ET Nelder, J.A. (1989), Generalized Linear Models, 2nd ed. Chapman & Hall, London. | MR | Zbl

Morris, C.N. (1982), Natural exponential families with quadratic variance functions, Ann. Statist. 10, 65-80. | MR | Zbl

Takács, L. (1962), A generalization of the ballot problem and its applications in the theory of queues, J. Amer. Statist. Assoc. 57, 327-337. | MR | Zbl

Wei, B-G. (1998), Exponential Family Nonlinear Models, Lecture Notes in Statistics No. 130, Springer-Verlag, Singapore. | MR | Zbl

Yanagimoto, T. (1989), The inverse binomial distribution as statistical model, Comm. Statist. - Theory Methods 18, 3625-3633. | MR | Zbl