Sentence examples for be a -mixing sequence from inspiring English sources

Let, be a -mixing sequence.

Theorem B. Let be a -mixing sequence of identically distributed random variables,,, and suppose that for.

Theorem C. Let be a -mixing sequence of identically distributed random variables,,, and for.

Let be a -mixing sequence of random variables which satisfies (1.3).

Obviously, a -mixing sequence is a -mixing sequence.

A random variable sequence is said to be a -mixing random variable sequence if as.

A random variable sequence is said to be a -mixing random variable sequence if there exists such that.

A random variable sequence, is said to be a -mixing random variable sequence if as. -mixing random variables were introduced by Dobrushin [1] and many applications have been found.

Let be a -mixing identically distributed random variable sequence, for, and for.

(Shao [37]) Let {X m, m ≥ 1} be a ρ -mixing sequence with EY i = 0.

Let, be a sequence of -mixing random variables.