Zap. Nauchn. Sem. POMI, 2022, Volume 510

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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2022, Volume 510

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General information

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Contents

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Probability and statistics. Part 32

	Il'dar Abdullovich Ibragimov (photo)
	Probabilistic approximation of a Riemann–Liouville type operator with a stability index greater than two I. A. Alekseev		5
	On the prediction error for singular stationary processes and transfinite diameters of related sets N. М. Ваbаyаn, M. S. Ginovyan		28
	Brownian local time of the second order at the inverse local time moment A. N. Borodin		51
	Local laws for sparse sample covariance matrices without the truncation condition F. Götze, A. N. Tikhomirov, D. A. Timushev		65
	More on the convergence of Gaussian convex hulls Yu. Davydov, V. Paulauskas		87
	Mixed volume of infinite-dimensional convex compact sets M. K. Dospolova		98
	Nonparametric signal detection with small values of type I and type II error probabilities M. S. Ermakov		124
	On the properties of a class of random operators I. A. Ibragimov, N. V. Smorodina, M. M. Faddeev		143
	Two limit theorems on the intersections of random Zipf sets M. A. Lifshits, I. M. Lyalinov		165
	Integral identities for the boundary of a convex body T. D. Moseeva		172
	On the probabilistic representation of the resolvent of the two-dimensional Laplacian A. K. Nikolaev		189
	New result on the behaviour of Gaussian maxima in terms of the covariance function S. M. Novikov		201
	On a probabilistic approximation of a group of unitary operators M. V. Platonova		211
	Convex hulls of random vectors with regularly varying distribution E. N. Simarova		225
	Mean distance between random points on the boundary of a convex body A. S. Tokmachev		248
	On representation of the logarithm for arbitrary characteristic function on segments A. A. Khartov		262

© Steklov Math. Inst. of RAS, 2025