A note on asymptotic normality of sums of higher-dimensionally indexed random variables

DOI10.1007/BF02589533zbMath0283.60019MaRDI QIDQ1844493

Bengt Rosén

Publication date: 1969

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (7)

Asymptotic theory of U-statistics ⋮ Central limit theorem for m-dependent random field in schemes related to series schemes ⋮ Estimate of the rate of convergence in the central limit theorem for m- dependent random fields ⋮ Estimation of entropy for Poisson marked point processes ⋮ A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent random fields ⋮ Eigenschaften von Polynomidealen in Abhängigkeit von der Charakteristik ⋮ On the rates in the central limit theorem for weakly dependent random fields

Cites Work

• A central limit theorem for \(m\)-dependent random variables
• The central limit theorem for dependent random variables
• On the central limit theorem for sums of dependent random variables
• A Class of Statistics with Asymptotically Normal Distribution
• On the Asymptotic Distribution of Differentiable Statistical Functions

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