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A note on estimation of variance for [rho]-mixing sequences

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  • Peligrad, Magda
  • Shao, Qi-Man

Abstract

Let {Xn, n [greater-or-equal, slanted] 1} be a stationary [rho]-mixing sequence of random variables with EX1 = , EX12+[delta] for some and Var Sn --> [infinity] as n --> [infinity]. This note presents a class of estimators of Var Sn, without assuming any mixing rate.

Suggested Citation

  • Peligrad, Magda & Shao, Qi-Man, 1996. "A note on estimation of variance for [rho]-mixing sequences," Statistics & Probability Letters, Elsevier, vol. 26(2), pages 141-145, February.
    • Handle: RePEc:eee:stapro:v:26:y:1996:i:2:p:141-145
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    References listed on IDEAS

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    1. Peligrad, M. & Shao, Q. M., 1995. "Estimation of the Variance of Partial Sums for [rho]-Mixing Random Variables," Journal of Multivariate Analysis, Elsevier, vol. 52(1), pages 140-157, January.
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    Cited by:

    1. Jiang, Xinxin & Hahn, Marjorie, 2008. "A self-normalized central limit theorem for [rho] -mixing stationary sequences," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1541-1547, September.

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