On some goodness-of-fit tests based on kernel density estimates
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 2, pp. 359-367 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {On some goodness-of-fit tests based on kernel density estimates},
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È. A. Nadaraya; G. A. Sokhadze; P. Babilua. On some goodness-of-fit tests based on kernel density estimates. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 2, pp. 359-367. http://geodesic.mathdoc.fr/item/TVP_2009_54_2_a10/

[1] Nadaraya E. A., “O predelnom raspredelenii kvadraticheskogo ukloneniya obobschennoi yadernoi otsenki plotnosti raspredeleniya”, Teoriya veroyatn. i ee primen., 37:2 (1992), 413–421 | MR

[2] Liptser R. Sh., Shiryaev A. N., “Funktsionalnaya tsentralnaya predelnaya teorema dlya semimartingalov”, Teoriya veroyatn. i ee primen., 25:4 (1980), 683–703 | MR | Zbl

[3] Nadaraya E., Babilua P., “On the limit distribution of a quadratic deviation of a recurrent kernel estimate of distribution density”, Proc. A. Razmadze Math. Inst., 144 (2007), 67–89 | MR | Zbl

[4] Nadaraya E., Babilua P., “On the Wolverton–Wagner estimate of a distribution density”, Bull. Georgian National Acad. Sci., 175:1 (2007), 40–44 | MR

[5] Kramer G., Matematicheskie metody statistiki, Mir, M., 1975, 648 pp. | MR

[6] Bickel P. J., Rosenblatt M., “On some global measures of the deviations of density function estimates”, Ann. Statist., 1 (1973), 1071–1095 | DOI | MR | Zbl

[7] Rosenblatt M., “A quadratic measure of deviation of two-dimensional density estimates and a test of independence”, Ann. Statist., 3 (1975), 1–14 | DOI | MR | Zbl

[8] Nadaraya E. A., Neparametricheskoe otsenivanie plotnosti veroyatnostei i krivoi regressii, Tbilisi, 1983, 194 pp. | MR

[9] Ghosh B. K., Huang W.-M., “The power and optimal kernel of the Bickel–Rosenblatt test for goodness of fit”, Ann. Statist., 19:2 (1991), 999–1009 | DOI | MR | Zbl