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20052022
most citedBasic Properties of Strong Mixing Conditions. A Survey and Some Open Questions

910 citations · 926 across the 15 of their papers we have counts for

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15 papers · 1 filter

math.PR2022★ 1 cited

On some possible combinations of mixing rates for strictly stationary, reversible Markov chains

Richard C. Bradley

A class of examples is constructed to show that for strictly stationary Markov chains that are reversible, the simultaneous mixing rates for the -mixing and strong mixing (-m…

math.PR2019★ 1 cited

An exposition of some basic features of strictly stationary, reversible Markov chains

Richard C. Bradley

It has been well known for some time that for strictly stationary Markov chains that are ``reversible'', that special symmetry provides special extra features in the mathematical t…

math.PR2016★ 1 cited

A "cousin" of a theorem of Csáki and Fischer

Richard C. Bradley

A 1963 theorem of P. Csáki and J. Fischer deals with the "maximal correlation coefficient" in the context of independent pairs of -fields on a probability space. Here a somewhat…

math.PR2015★ 1 cited

A Central Limit Theorem for Non-Stationary Strongly Mixing Random Fields

Richard C. Bradley, Cristina Tone

In this paper we extend a central limit theorem of Peligrad for uniformly strong mixing random fields satisfying the Lindeberg condition in the absence of stationarity property. Mo…

math.PR2015

On Mixing Properties of Some INAR Models

Richard C. Bradley

Strictly stationary INAR(1) ("integer-valued autoregressive processes of order 1") with Poisson innovations are "interlaced rho-mixing".

math.PR2014★ 2 cited

On a central limit theorem for shrunken weakly dependent random variables

Richard C. Bradley, Zbigniew J. Jurek

A central limit theorem is proved for some strictly stationary sequences of random variables that satisfy certain mixing conditions and are subjected to the "shrinking operators" $…