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On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields
Richard C. Bradley
For a given pair of positive integers and with , for strictly stationary random fields that are indexed by the -dimensional integer lattice and satisfy -tup…
On the behavior of the covariance matrices in a multivariate central limit theorem under some mixing conditions
Richard C. Bradley
In a paper that appeared in 2010, C. Tone proved a multivariate central limit theorem for some strictly stationary random fields of random vectors satisfying certain mixing conditi…
A strictly stationary, N-tuplewise independent counterexample to the central limit theorem
Richard C. Bradley, Alexander R. Pruss
For an arbitrary integer N that is at least 2, this paper gives a construction of a strictly stationary, N-tuplewise independent sequence of (non-degenerate) bounded random variabl…
Basic Properties of Strong Mixing Conditions. A Survey and Some Open Questions
Richard C. Bradley
This is an update of, and a supplement to, a 1986 survey paper by the author on basic properties of strong mixing conditions.