Rate of convergence in the central limit theorem in the space D[0,1]

DOI10.1007/BF00972120zbMath0711.60008MaRDI QIDQ923465

D. B. Yuknyavichene, Vygantas Paulauskas

Publication date: 1988

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

zbMATH Keywords

convergence ratecentral limit theoremremainder term in the Kolmogorov-Smirnov theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

On the rate of normal approximation in \(D[0,1\)] ⋮ Rate of convergence in the central limit theorem for empirical processes

Cites Work

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• Central limit theorem in the space D[0,1]
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• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• Bounds for the speed of convergence in the central limit theorem in C(S)
• Central limit theorems in D[0, 1]
• The asymptotic strength distribution of a general fiber bundle
• A central limit theorem for stochastic processes with independent increments
• An Estimate Concerning the Kolmogroff Limit Distribution