On the rate of convergence to bivariate stable laws

DOI10.1007/s10986-009-9059-3zbMath1181.62015OpenAlexW2017205436MaRDI QIDQ847909

Vygantas Paulauskas

Publication date: 19 February 2010

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-009-9059-3

zbMATH Keywords

rates of convergencelimit theoremmultivariate stable laws

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Infinitely divisible distributions; stable distributions (60E07) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Cites Work

• Signed symmetric covariation coefficient for alpha-stable dependence modeling
• Normal approximation - some recent advances
• Two uniform bounds of remainder term in the case of close distributions of two sums of independent random variables
• Rate of convergence in the multidimensional limit theorem with a stable limit law
• Some remarks on multivariate stable distributions
• On the closeness of the distribution of two sums of independent random variables with values in Hilbert space
• Bounds for stable measures of convex shells and stable approximations
• On distribution functions with a limiting stable distribution function
• Esseen’s Inequality for Multi-Dimensional Distribution Functions
• Modern Theory of Summation of Random Variables
• On Strengthening Lyapunov Type Estimates (The Case When the Distribution of the Summands is Close to the Normal Distribution)
• A Lyapunov-type Bound in R^d
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