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]