Estimation non paramétrique de discontinuités d'une fonction d'intensité
Revue de Statistique Appliquée, Tome 45 (1997) no. 3, p. 89-106
@article{RSA_1997__45_3_89_0,
     author = {Couallier, V. and Sarda, P. and Vieu, Philippe},
     title = {Estimation non param\'etrique de discontinuit\'es d'une fonction d'intensit\'e},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {45},
     number = {3},
     year = {1997},
     pages = {89-106},
     language = {fr},
     url = {http://http://www.numdam.org/item/RSA_1997__45_3_89_0}
}
Couallier, V.; Sarda, P.; Vieu, P. Estimation non paramétrique de discontinuités d'une fonction d'intensité. Revue de Statistique Appliquée, Tome 45 (1997) no. 3, pp. 89-106. http://www.numdam.org/item/RSA_1997__45_3_89_0/

Aalen, O. (1978), Nonparametric inference for a family of counting processes, Ann. Statis., 6, 701-726. | MR 491547 | Zbl 0389.62025

Brenguier, J.L. (1993), Observations of cloud microstructure at the centimeter scale, J. of Applied Meteorology, 32, 783-793.

Broniatowski, M. (1993), Cross validation in kernel nonparametric density estimation : a survey, Publi. de l'I.S. U.P., vol XXXVII, 3-4, 3-28. | MR 1743774 | Zbl 0779.62034

Brooks, M.M. and Marron, J.S. (1991), Asymptotic optimality of the least-squares cross-validation bandwidth for kernel estimates of intensity functions, Stochastic Processes and their Applications, 38, 157-165, North-Holland. | MR 1116308 | Zbl 0724.62084

Cox, D.R. and Isham, V. (1980), Point processes, Chapmann and Hall, London. | MR 598033 | Zbl 0441.60053

Diggle, P. (1985), A Kernel Method for Smoothing Point Process Data, Appl. Statist., 34, 138-147. | Zbl 0584.62140

Diggle, P. and Marron, J.S. (1988), Equivalence of Smoothing Parameters Selectors in Density and Intensity Estimation, J. of the American Statistical Association, 83, 793-800. | MR 963807 | Zbl 0662.62036

Kingman, J.F.C. (1993), Poisson Processes, Oxford University Press Inc., New-York. | MR 1207584 | Zbl 0771.60001

Marron, J.S. (1988), Automatic smoothing parameter selection : a survey, Empirical Economics, 13, 187-208.

Moncaup, S., Sarda, P. et Vieu P. (1995), Une mise en oeuvre d'estimateurs non paramétriques sur des données météorologiques, Revue de Statistique Appliquée, Vol XLIII(4), 77-88. | Numdam

Ramlau-Hansen, H. (1983), Smoothing counting process intensities by mean of kernel functions, Ann. Statist., 11, 453-466. | MR 696058 | Zbl 0514.62050

Vieu, P. (1993), Bandwidth selection for kernel regression : a survey. In "Computer Intensitive Methods in Statistics". Ed. W. HÄRDLE and L. SIMAR, Statistics and Computing, Physica Verlag, 1, 134-149. | MR 1224457

Wu, J.S. and Chu, C.K. (1993a), Kernel-Type Estimators of Jump Points and Values of a Regression Function, Ann. Statist., 21, 1545- 1566. | MR 1241278 | Zbl 0795.62043

Wu, J.S. and Chu, C.K. (1993b), Nonparametric Function Estimation and Bandwidth Selection for Discontinuous Regression Functions, Statistica Sinica, 3, 557-576. | MR 1243401 | Zbl 0822.62024