Abstract
Given a strictly stationary sequence {Xk, k = …, −1,0,1, …} of r.v.'s one defines for n = 1, 2, 3 …, . Here an example of {Xk} is given with finite second moments, for which Var(X1 + … + Xn)→∞ and ρ n → 0 as n→∞, but (X1 + … + Xn) fails to be asymptotically normal; instead there is partial attraction to non-stable limit laws.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference12 articles.
1. Past and Future
2. On the strong mixing property for Markov chains with a countable number of states;Davydov;Soviet Math.,1969
3. A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
4. An addendum to ‘Past and future’;Sarason;Math. Scand.,1972
5. A problem in prediction theory
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