01.01.05 (Probability theory and mathematical statistics)
E-mail:
UDC:
519.2
Subject:
Approximation theorems of mathematical statistics, asymptotic properties of the order statistics, L-statistics, the bootstrap.
Main publications:
N. V. Gribkova, R. Helmers, “Second order approximations for slightly trimmed means”, Teor. Veroyatnost. i Primenen., 58:3 (2013), 417–453
Gribkova, Nadezhda; Helmers, Roelof, “On a Bahadur–Kiefer representation of von Mises statistic type for intermediate sample quantiles”, Probab. Math. Stat., 32:2 (2012), 255–279
Gribkova, N.V.; Helmers, R., “On the consistency of the $M\ll N$ bootstrap approximation for a trimmed mean”, Theory Probab. Appl., 55:1 (2011), 42–53
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
Gribkova N.V., Helmers R, “The empirical Edgeworth expansion for a Studentized trimmed mean”, Math. Methods Statist., 15:1 (2006), 61–87
O. I. Dudkina, N. V. Gribkova, “On the strong law of large numbers for linear combinations of concomitants”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020), 418–424; Vestn. St. Petersbg. Univ., Math., 7:3 (2020), 282–286
N. V. Gribkova, R. Helmers, “Second order approximations for slightly trimmed means”, Teor. Veroyatnost. i Primenen., 58:3 (2013), 417–453; Theory Probab. Appl., 58:3 (2014), 383–412
N. V. Gribkova, R. Helmers, “On the $M$ fewer than $N$ bootstrap approximation to the trimmed mean”, Teor. Veroyatnost. i Primenen., 55:1 (2010), 3–18; Theory Probab. Appl., 55:1 (2011), 42–53
N. V. Gribkova, “Bootstrap approximation of the distributions of $L$-statistics”, Zap. Nauchn. Sem. POMI, 260 (1999), 84–102; J. Math. Sci. (New York), 109:6 (2002), 2088–2102
N. V. Gribkova, “On analogues of Berry–Esseen inequality for truncated linear combinations of order statistics”, Teor. Veroyatnost. i Primenen., 38:1 (1993), 176–184; Theory Probab. Appl., 38:1 (1993), 142–149
N. V. Gribkova, “On the Rate of Convergence to Normal Law of Infinitely Truncated Linear Combinations of Order Statistics”, Teor. Veroyatnost. i Primenen., 33:4 (1988), 781–784; Theory Probab. Appl., 33:4 (1988), 726–729
1987
7.
N. V. Gribkova, “Estimation of the rate of convergence to the normal law of truncated linear combinations of order statistics”, Mat. Zametki, 42:5 (1987), 739–746; Math. Notes, 42:5 (1987), 906–910
1984
8.
N. V. Gribkova, “Estimates of the concentration function of linear combinations of order statistics of a uniform distribution”, Mat. Zametki, 35:6 (1984), 897–904; Math. Notes, 35:6 (1984), 470–474
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