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  1. No Access

    Article

    Extremes of Shepp statistics for fractional Brownian motion

    Define the incremental fractional Brownian field with parameter H ∈ (0, 1) by Z H (τ, s) = B H

    ZhongQuan Tan, Yang Yang in Science China Mathematics (2015)

  2. Article

    Open Access

    A note on the almost sure central limit theorem for the product of some partial sums

    Let ( X n ...

    Yang Chen, Zhongquan Tan, Kaiyong Wang in Journal of Inequalities and Applications (2014)

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  3. No Access

    Article

    Almost sure asymptotics for extremes of non-stationary Gaussian random fields

    In this paper, the authors prove an almost sure limit theorem for the maxima of non-stationary Gaussian random fields under some mild conditions related to the covariance functions of the Gaussian fields. As t...

    Zhongquan Tan, Yuebao Wang in Chinese Annals of Mathematics, Series B (2014)

  4. No Access

    Article

    Almost sure central limit theorem for partial sums of Markov chain

    The authors prove an almost sure central limit theorem for partial sums based on an irreducible and positive recurrent Markov chain using logarithmic means, which realizes the extension of the almost sure cent...

    Guangming Zhuang, Zuoxiang Peng, Zhongquan Tan in Chinese Annals of Mathematics, Series B (2012)