Estimation semi-paramétrique dans les familles doublement poissonniennes et application aux spectres de diffraction

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1. [1] Abramovitz M., Stegun I.A. (1965). Hanbook of Mathematical Functions. Dover, New York. 
2. [2] Aitkin M. (1995). Probability model choice in single samples from exponential families using Poisson log-linear modeling, and model comparison using Bayes and posterior Bayes factors. Statistics and Computing, 5, 113-120. 
3. [3] Antoniadis A., Berruyer J., Carmona R.(1992). Régression non linéaire et applications. Economica, Paris. 
4. [4] Antoniadis A., Berruyer J., Filhol A. (1990). Maximum likelihood estimation methods in powder diffraction refinements. Acta. Cryst., A46, pp. 692-711. 
5. [5] Barndorff-Nielsen O.E. (1978). Information and exponential families in statistical theory. John Wiley & Sons, New York. Zbl0387.62011MR489333
6. [6] Barndorff-Nielsen O.E., Cox D.R.(1989). Asymptotic techniques for use in statistics. Chapman & Hall, New York. Zbl0672.62024MR1010226
7. [7] Besse Ph., Thomas-Agnan Ch. (1989). Le lissage par fonction splines en statistique : revue bibliographique. Statistique et Analyse des données, 14 n° 1, 55-84. 
8. [8] De Boor C. (1978). A practical guide to splines. Springer-Verlag, Berlin. Zbl0406.41003MR507062
9. [9] Diaconis P., Efron B. (1985). Testing the independence of a two-way table : New interpretations of chi-square statistics. Ann. Statist., 13, 845-913. Zbl0593.62040MR803747
10. [10] Efron B. (1986). Double exponential families and their use in generalized linear regression. J. Amer. Statist. Assoc., 81, 709- 721. Zbl0611.62072MR860505
11. [11] Eilers P.H.C. (1990). Smoothing and interpolation with generalized linear models. Quaderni di Statistica e Matematica Applicata alle Scienze Economico-Sociali, 12, 21-32. 
12. [12] Eilers P.H.C., Marx B.D.(1996). Flexible smoothing with B-splines and penalties. Statistical Sciences, 11, 89- 121. Zbl0955.62562MR1435485
13. [13] Jørgensen B. (1987). Exponential dispersion models. J.R.S.S., Ser B, 49, 127- 162. Zbl0662.62078MR905186
14. [ 14] Nelder J.A., Weddelburn R.W.M. (1972). Generalized linear interactive models. J.R.S.S., Ser A, 135, 370-384. 
15. [ 15] Rao C.R. (1973). Linear Statistical Inference and Its Applications. John Wiley & Sons, New York. Zbl0256.62002MR346957
16. [16] Schmitt F., Charier B., Ouladiaff B.(1998). Communication privée. 
17. [ 17] Seeber G.U.H. (1997). Overdispersed exponential regression models. Computational Statistics, 12, 209- 218. Zbl0936.62084
18. [18] Silverman B.W. (1986). Some aspects of the smoothing spline approach to nonparametric regression curve fitting. J.R.S.S., Ser B, 47, 1-52. Zbl0606.62038MR805063
19. [ 19] Wegman E.J., Wright I.W. (1983). Splines in Statistics. J. Amer. Statist. Assoc., 78, 351- 365. Zbl0534.62017MR711110