Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (6): 1339-1344.

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Asymptotic Distribution of Products of Partial Sums under NSD Sequences

ZHAO Jiayu, LU Dongmei   

  1. College of Optical and Electronical Information, Changchun University of Science and Technology, Changchun 130114, China
  • Online:2020-11-18 Published:2020-11-26

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Abstract: Let {Xn, n≥1} be a sequence of identically distributed positive negatively superadditive dependent (NSD) random sequence. Under some suitable conditions, by using the central limit theorem of weighted sums and the law of large numbers of NSD random sequence,  and we discuss similar conclusion for the strictly stationary case.

Key words: NSD sequences;central limit theorem, identically distribution; , lognormal distribution, product of sums

CLC Number: 

  • O211.4
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