Sentence examples for mixing coefficients not from inspiring English sources

Exact(1)

Nondecreasing (or nonincreasing) functions defined on disjoint subsets of a sequence ({X_{n}, ngeq 1}) of ANA random vectors with mixing coefficients (rho^(s)) is also ANA with mixing coefficients not greater than (rho^(s)).

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Figure  1 is not an instruction to use the mixing coefficients; it merely illustrates a concept.

In other words, we assume that we have mixed von Mises densities with mixing coefficients.

After each M-step, the mixing coefficients are normalized such that they add up to.

However, at pre-asymptotic times it is considerably more difficult to accurately quantify these effects by an effective dispersion coefficient as spreading and mixing are not the same (but intricately related).

Theorem 2.1 firstly gives the condition of the mixing coefficient, so the conditions (a)–(c) do not contain the mixing coefficient.

K vertical and horizontal mixing coefficient.

This sequence is said to be strong mixing or α-mixing if the mixing coefficient converges to zero as (mrightarrowinfty).

Remarkably, it exhibited higher robustness to the mixing coefficient.

If paint mixes, why not nail varnish?

Don't mix! Don't stir!

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