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Moderate Deviation Principles for Empirical Covariance in the Neighbourhood of the Unit Root

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  • Yu Miao
  • Yanling Wang
  • Guangyu Yang

Abstract

type="main" xml:id="sjos12104-abs-0001"> In this paper, we consider the linear autoregressive model with varying coefficients θ n ∈[0,1). When θ n tending to the unit root, the moderate deviation principle for empirical covariance is discussed, and as statistical applications, we provide the moderate deviation estimates of the least square and the Yule–Walker estimators of the parameter θ n .

Suggested Citation

  • Yu Miao & Yanling Wang & Guangyu Yang, 2015. "Moderate Deviation Principles for Empirical Covariance in the Neighbourhood of the Unit Root," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 42(1), pages 234-255, March.
    • Handle: RePEc:bla:scjsta:v:42:y:2015:i:1:p:234-255
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    References listed on IDEAS

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    Cited by:

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    5. Nannan Ma & Hailin Sang & Guangyu Yang, 2023. "Least absolute deviation estimation for AR(1) processes with roots close to unity," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(5), pages 799-832, October.

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