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Cramér type moderate deviations for random fields

  • Aleksandr Beknazaryan (a1), Hailin Sang (a1) and Yimin Xiao (a2)


We study the Cramér type moderate deviation for partial sums of random fields by applying the conjugate method. The results are applicable to the partial sums of linear random fields with short or long memory and to nonparametric regression with random field errors.


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*Postal address: Department of Mathematics, The University of Mississippi, University, MS 38677, USA.
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****Postal address: Department of Statistics and Probability, Michigan State University, East Lansing, MI 48824, USA. Email address: Email address:


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