SU\G(𝔸)/K·U

Limit Theorems for Sums of Independent Random Variables with Values in Hilbert Space

V. M. Kruglov

Type: Article

Publication Date: 1973-03-01

Citations: 30

DOI: https://doi.org/10.1137/1117026

Locations

  • Theory of Probability and Its Applications - View

Similar Works

Action Title Year Authors
+ Convergence of Distributions of Sums of Independent Random Variables with Values in Hilbert Space 1971 V. M. Kruglov
+ On the Limit Behavior of Sums of Random Vectors with Values in Hilbert Space 1985 E. R. Vvedenskaya
+ Convergence of Numerical Characteristics of Sums of Independent Random Variables with Values in a Hilbert Space 1974 Victoria Kruglov
+ Sums of Random Vectors with Values in a Hilbert Space 1984 E. R. Vvedenskaya
+ Limit Theorem for Sums of Random Vectors, Whose Dimension Tends to Infinity 1991 Yu. V. Prokhorov
+ Spaces of Sequences in a Banach Space Associated with a Sequence of Independent Random Variables 1992 A. N. Chuprunov
+ Limit Distributions for Sums of Independent Random Vectors 2002 Raisa E. Feldman
+ PDF Chat The limit theorems for the sums of independent random variables 1972 A. Bikelis
+ On Strong Limit Theorems for Sums of Independent Random Variables 1993 A. I. Martikainen
V. V. Petrov
+ On Sums of Random Vectors with Values in Hilbert Space 1984 Yu. V. Prokhorov
+ On Classes of Limit Distributions for Sums of a Random Number of Identically Distributed Independent Random Variables 1973 D. Szász
+ On Convergence of Infinite Products of Independent Random Linear Operators in a Hilbert Space 1980 T. A. Skorokhod
+ LIMIT THEOREMS FOR INDEPENDENT SELF-NORMALIZED SUMS 2004 Bing‐Yi Jing
+ Limit Theorems for Densities and Asymptotic Expansions for Distributions of Sums of Independent Random Variables 1965 V. A. Statulyavichus
+ On Limit Theorems for Sums of Dependent Random Variables 1980 A. F. Ronzhin
+ CONVERGENCE IN LAW OF SUMS OF INDEPENDENT BANACH-VALUED RANDOM ELEMENTS WITH RANDOM COEFFICIENTS 1994 A. N. Chuprunov
+ Limit Theorems for Maxima of Independent Random Sums 2000 A. V. Lebedev
+ Local limit theorems for sums of independent random vectors 1987 A. Karoblis
+ Sums of a random number of random variables with values in Hilbert space 1977 V. Bernotas
+ Limit Theorems for Independent Random Variables 1978 Y. S. Chow
Henry Teicher

Works That Cite This (25)

Action Title Year Authors
+ A functional central limit theorem for Hilbert-valued martingales 2016 V. V. Lavrentyev
L. V. Nazarov
+ PDF Chat Estimation suroptimale de la densité par projection 2005 Denis Bosq
+ A partial overview of the theory of statistics with functional data 2013 Antonio Cuevas
+ PDF Chat On a non-classical invariance principle 2008 Youri Davydov
Vladimir Rotar
+ PDF Chat Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise 2012 K. Sakthivel
S. S. Sritharan
+ On summation of independent variables in a non-classical situation 1982 Vladimir Rotar
+ Central limit problem on Lp (p ≥ 2) II. Compactness of infinitely divisible laws 1977 G. G. Hamedani
V. Mandrekar
+ Stochastic processes with independent increments, taking values in a Hilbert space 1976 Jeffrey L. Spielman
+ PDF Chat On a characterization of infinitely divisible characteristic functionals on a Hubert space 1970 Б. Л. С. Пракаса Рао
+ PDF Chat Lévy Processes and Infinitely Divisible Measures in the Dual of a Nuclear Space 2019 C. A. Fonseca-Mora

Works Cited by This (2)

Action Title Year Authors
+ Convergence of Random Processes and Limit Theorems in Probability Theory 1956 Yu. V. Prokhorov
+ PROBABILITY MEASURES IN A METRIC SPACE 1967 K. R. Parthasarathy