Acta mathematica scientia,Series A ›› 2004, Vol. 4 ›› Issue (5): 521-529.

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Studentized HansonRusso Type Increment Theorem for \=All Distributions in the Domain of Attraction of a Stable Law

 WANG Wen-Qing   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    国家自然科学基金(10131040)和中国博士后科学基金资助

Abstract:

By establishing large deviations on studentized increments of partial sums,the author  proves studentized HansonRusso type increment
theorem for all distributions in the domain of attraction of a stable law.

Key words: HansonRusso type increment of partial sum, Selfnormalization,  , Domain of attraction of a stable law

CLC Number: 

  • 60F10
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