Approximation of random fields, nonparametric statistics.
Main publications:
N. A. Serdyukova, “Ob asimptoticheskom povedenii slozhnosti approksimatsii sluchainykh polei, zavisyaschikh ot bolshogo chisla parametrov”, Teoriya veroyatnostei i ee primeneniya, 2008; English variant: arXiv:math/0701058v1 [math.PR]
N. A. Serdyukova, “Dependence of the approximation complexity of random fields on dimension”, Teor. Veroyatnost. i Primenen., 54:2 (2009), 256–270; Theory Probab. Appl., 54:2 (2010), 272–284
N. A. Serdyukova, “Dual purities and interrelation between the $P$-purities and the purities given by systems of equations”, Sibirsk. Mat. Zh., 34:3 (1993), 161–170; Siberian Math. J., 34:3 (1993), 540–547
1991
3.
N. A. Serdyukova, “On generalizations of purity”, Algebra Logika, 30:4 (1991), 432–456
N. A. Serdyukova, “On quotient groups of direct products of abelian groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 6, 62–65; Soviet Math. (Iz. VUZ), 34:6 (1990), 74–77
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