Extensions of Billingsley's theorems on weak convergence of empirical processes

DOI10.1007/BF00533190zbMath0269.60035MaRDI QIDQ5686727

Ken-ichi Yoshihara

Publication date: 1974

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Limit theorems in probability theory (60F99)

Related Items (5)

The Bahadur representation of sample quantiles for sequences of strongly mixing random variables ⋮ On the Chernoff-Savage theorem for dependent sequences ⋮ Weak convergence of multidimensional empirical processes for strong mixing sequences of stochastic vectors ⋮ Asymptotic normality of the extremum of certain sample functions ⋮ Note on multidimensional empirical processes for \(\Phi\)-mixing random vectors

Cites Work

• Unnamed Item
• A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables
• The law of the iterated logarithm for stationary processes satisfying mixing conditions
• Some Limit Theorems for Stationary Processes

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