Geodesic
On the $M$ fewer than $N$ bootstrap approximation to the trimmed mean
Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 1, pp. 3-18 Cet article a éte moissonné depuis la source Math-Net.Ru

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N. V. Gribkova; R. Helmers. On the $M$ fewer than $N$ bootstrap approximation to the trimmed mean. Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 1, pp. 3-18. http://geodesic.mathdoc.fr/item/TVP_2010_55_1_a1/

[1] Bickel P. J., Freedman D. A., “Some asymptotic theory for the bootstrap”, Ann. Statist., 9:6 (1981), 1196–1217 | DOI | MR | Zbl

[2] Bickel P. J., Götze F., van Zwet W. R., “Resampling fewer than $n$ observations: gains, losses, and remedies for losses”, Statist. Sinica, 7:1 (1997), 1–31 | MR | Zbl

[3] Bickel P. J., Sakov A., “Extrapolation and the bootstrap”, Sankhy, Ser. A, 64:3 (2002), 640–652 | MR | Zbl

[4] Billingsli P., Skhodimost veroyatnostnykh mer, Nauka, M., 1977, 351 pp. | MR

[5] Csörgő S., Haeusler E., Mason D. M., “The asymptotic distribution of trimmed sums”, Ann. Probab., 16:2 (1988), 672–699 | DOI | MR

[6] Gribkova N. V., Helmers R., “The empirical Edgeworth expansion for a Studentized trimmed mean”, Math. Methods Statist., 15:1 (2006), 61–87 | MR

[7] Gribkova N. V., Helmers R., “On the Edgeworth expansion and the $M$ out of $N$ bootstrap accuracy for a Studentized trimmed mean”, Math. Methods Statist., 16:2 (2007), 142–176 | DOI | MR

[8] Hall P., Padmanabhan A. R., “On the bootstrap and the trimmed mean”, J. Multivariate Anal., 41:1 (1992), 132–153 | DOI | MR | Zbl

[9] Khampel F. R., Ronchetti E. M., Rasseu P. D., Shtael V. A., Robastnost v statistike. Podkhod na osnove funktsii vliyaniya, Mir, M., 1989, 512 pp. | MR

[10] Helmers R., Jing B.-Y., Qin G., Zhou W., “Saddlepoint approximations to the trimmed mean”, Bernoulli, 10:3 (2004), 465–501 | DOI | MR | Zbl

[11] Khyuber P., Robastnost v statistike, Mir, M., 1984, 303 pp. | MR

[12] Stigler S. M., “The asymptotic distribution of the trimmed mean”, Ann. Statist., 1 (1973), 472–477 | DOI | MR | Zbl