On the Central Limit Theorem for $\varphi$-Mixing Arrays of Random Variables
- 1 January 1991
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in Theory of Probability and Its Applications
- Vol. 35 (1) , 131-139
- https://doi.org/10.1137/1135013
Abstract
No abstract availableKeywords
This publication has 15 references indexed in Scilit:
- Invariance Principle for Weakly Dependent VariablesTheory of Probability and Its Applications, 1985
- The invariance principle for ϕ-mixing sequencesProbability Theory and Related Fields, 1983
- A Note on the Central Limit Theorems for Dependent Random VariablesTheory of Probability and Its Applications, 1975
- A Central Limit Theorem for $m$-Dependent Random Variables with Unbounded $m$The Annals of Probability, 1973
- Limit theorems for the sums of random variables related to a Markov chain. ILithuanian Mathematical Journal, 1969
- The central limit problem for mixing sequences of random variablesProbability Theory and Related Fields, 1969
- On the central limit theorem for sums of dependent random variablesProbability Theory and Related Fields, 1967
- Some Limit Theorems for Stationary ProcessesTheory of Probability and Its Applications, 1962
- A central limit theorem for m-dependent random variablesDuke Mathematical Journal, 1958
- Some Limit Theorems for Stationary Markov ChainsTheory of Probability and Its Applications, 1957