Basic properties of strong mixing conditions. a survey and some open questions

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  • who: Richard C. Bradley from the In (29), it is understood that the two sets S and T can be "interlaced, " i.e. with each set having elements between ones in the other set. Theorem, ., Suppose X :=(Xk, k ∈ Z) is a strictly stationary random sequence. (1) β * (n) → , as n → ∞ if and only if X is m-dependent. (2) α* (n) → , as n → ∞ if and only if ρ* (n) → , as n → ∞. Part (1) was shown in [22, Theorem , and Remarks , and, ], as part of a broader result for strictly stationary random fields. The main insight behind it came from . . .

     

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