A central limit theorem for randomly indexed m-dependent random variables

DOI10.2298/FIL1204713SzbMath1411.60041MaRDI QIDQ5259345

Yilun Shang

Publication date: 26 June 2015

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

stationary sequence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (11)

Random central limit theorem for associated random variables and the order of approximation ⋮ On the rate of convergence in the global central limit theorem for random sums of uniformly strong mixing random variables ⋮ On some approximations for sums of \(m\)-dependent random variables ⋮ Asymptotic results for random sums of dependent random variables ⋮ A note on the central limit theorems for dependent random variables ⋮ Normal approximation for strong demimartingales ⋮ On the order of approximation in limit theorems for negative-binomial sums of strictly stationary \(m\)-dependent random variables ⋮ On the rate of convergence in the central limit theorem for random sums of strongly mixing random variables ⋮ On the rates of convergence in weak limit theorems for geometric random sums of the strictly stationary sequence of \(m\)-dependent random variables ⋮ Asymptotic distribution with random indices for linear processes ⋮ An extension of central limit theorem for randomly indexed m-dependent random variables

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