Zap. Nauchn. Sem. LOMI, 1980, Volume 97

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1980, Volume 97

Contents

Problems of the theory of probability distributions. Part VI

	Preface		2
	On narrow domains of the integral normal convergence N. N. Amosova		6
	Analogues of the Kesten inequality for concentration functions and their improvments S. M. Anan'evskij		15
	Asymptotic behaviour of the Teoplitz determinant M. S. Ginovyan		22
	The invariance principle for functions of stationary Gaussian variables V. V. Gorodestkii		32
	Le principe local d'invariance. I Yu. A. Davydov		45
	Theorems limites locaux pour les fonctionnelles du type supremum dans le cas arithmetique Yu. A. Davydov		51
	On a sufficient statistics for families of distributions with variable support of density. I M. S. Ermakov		62
	The estimation of proximity of distribution of sequential sums of independent identically distributed random vectors A. Yu. Zaitsev		83
	Asymptotic bounds on the quality of the nonparametric regression estimation in $\mathscr L_p$ I. A. Ibragimov, R. Z. Khas'minskii		88
	The spectral measure of transition operator and harmonic functions, connected with the random walks on discrete groups V. A. Kaimanovich		102
	On the occupation times of Gaussian stationary processes M. A. Lifshits		110
	On asymptotic behaviour of arithmetical processes N. N. Ljashenko		127
	Large deviations for sample quantiles V. B. Nevzorov		144
	Large deviations and asymptotic efficiency of integral type statistics. II Ya. Yu. Nikitin		151
	The test for rejection of outlying observation in the multivariate normal case M. S. Nikulin		176
	On the series of H. Cramer L. V. Osipov		181
	On the law of the iterated logarithm for sequences of dependent random variables V. V. Petrov		186
	Approximation of a reproducing kernel V. N. Solev		195
	On the limit “in large” distributions of linear functionals over a random process of the second order V. N. Sudakov		199
	Additive functionals and a time change which preserves the semi-Markov property of a process B. P. Harlamov		203
	On existence and uniqueness of solution of Cauchy problem for equations of discrete manydimensional chiral fields assuming their values on unit sphere B. I. Shubov		217