Zap. Nauchn. Sem. POMI, 2025, Volume 544

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2025, Volume 544

Contents

Probability and statistics. Part 37

	On groups and series of successes in Bernoulli sequences of random variables S. M. Ananjevskii, V. B. Nevzorov		5
	Probabilistic representation of the Cauchy problem solution for the discrete nonstationary Schrödinger equation R. I. Baiteev		16
	On the number of intersection points of random hyperplanes inside a convex body A. S. Bolotin		28
	Local time of reflecting Brownian motion A. N. Borodin		40
	Distribution of functionals of branching diffusion pro- cess A. N. Borodin		61
	Bahadur asymptotic efficiency in the zone of moderate deviation probabilities M. S. Ermakov		73
	Transport distance estimates in the Central Limit Theorem A. Yu. Zaitsev		93
	Monotonicity of expected volumes of random polytopes D. N. Zaporozhets, T. D. Moseeva		116
	Limit theorems for random polytopes generated by heavy-tailed distributions D. N. Zaporozhets, E. N. Simarova		130
	On sharp $L_2$-small ball asymptotics for a family of Durbin processes Ya. S. Zonova, A. I. Nazarov		154
	A limit theorem for a branching Wiener process with a singular branching intensity of a special type I. A. Ibragimov, N. V. Smorodina, M. M. Faddeev		170
	Geometrical characteristics of random countable zonotopes M. A. Kukushkin		185
	Mean distance between random points in centrally symmetric convex bodies A. S. Lotnikov		211
	Critical periodic branching random walk on $\mathbf {Z}^d$ with immigration I. I. Lukashova		236
	Branching random walks on $\mathbb{Z}_+$ with drift A. V. Lyulintsev		249
	On a probabilistic approach to the Cauchy problem solution for an evolution equation with a higher even-order differential operator and a variable coefficient M. V. Platonova		262
	New goodness-of-fit tests for the exponential and Rayleigh distributions I. A. Ragozin		274
	A limit theorem for the maxima of functions of strongly dependent Gaussian random variables A. V. Savich		295
	Сonjugate system and accuracy in the estimation problem V. N. Solev		314
	Random partitions growth by appending parts: the Cesàro convergent weights case Yu. V. Yakubovich		329