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

@article{Bradley2005BasicPO,
  title={Basic properties of strong mixing conditions. A survey and some open questions},
  author={R. C. Bradley},
  journal={Probability Surveys},
  year={2005},
  volume={2},
  pages={107-144}
}
  • R. C. Bradley
  • Published 2005
  • Mathematics
  • Probability Surveys
    • This is an update of, and a supplement to, a 1986 survey paper by the author on basic properties of strong mixing conditions. 
    View PDF on arXiv
    622 Citations
    Highly Influencial Citations
    100
    Background Citations
    265
    Methods Citations
    41
    Results Citations
    3

    Paper Mentions

    Blog Post
    Just How Quickly Do We Forget?
    Three-Toed Sloth
    20 April 2012
    622 Citations
    Citation Type

    Citation Type

    Mixing conditions of conjugate processes
    • PDF
    Asymptotic behaviour of frequency polygons under φ-mixing samples
    • Highly Influenced
    An Inequality of the Bernstein-type for $\beta$-mixing Time Series
    A bound of the β-mixing coefficient for point processes in terms of their intensity functions
    • PDF
    Some mixing properties of conditionally independent processes
    • 2
    • PDF
    A Bernstein Inequality For Spatial Lattice Processes
    • 5
    • PDF
    Strong Approximation for Mixing Sequences with Infinite Variance
    • 5
    • PDF
    On the uniformly asymptotic normality of frequency polygons for ψ-mixing samples
    • Highly Influenced
    Convergence to Lévy stable processes under some weak dependence conditions
    • 37
    • PDF
    Limit theorems for linear processes generated by ρ-mixing sequence

    References

    SHOWING 1-10 OF 180 REFERENCES
    A caution on mixing conditions for random fields
    • 44
    On the Central Limit Theorem for Stationary Mixing Random Fields
    • 272
    • PDF
    The central limit theorem for Tukey's 3R smoother
    • 6
    On large deviations for uniformly strong mixing sequences
    • 38
    Identical mixing rates
    • 4
    Basic Properties of Strong Mixing Conditions
    • 436
    • PDF
    The functional central limit theorem under the strong mixing condition
    • 39
    • PDF
    Remarks on the Foundations of Measures of Dependence.
    • 8
    • PDF
    On the central limit theorem for weakly dependent sequences with a decomposed strong mixing coefficient
    • 15
    The invariance principle for ϕ-mixing sequences
    • 68