纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2011年
5期
592-599
,共8页
两两NQD序列%大数定律%Chebyshev不等式%同分布
兩兩NQD序列%大數定律%Chebyshev不等式%同分佈
량량NQD서렬%대수정률%Chebyshev불등식%동분포
palrwise NQD sequences%law of large number%Chebyshev inequality%identical distribution
利用两两NQD列三级数定理的思想和Chebyshev不等式，研究了两两NQD列在一类广泛条件下的弱大数定律和一类加强条件下的强大数定律，得到了与独立情形一致的结果，还特别讨论了同分布情形，推广了相关文献的结果．
利用兩兩NQD列三級數定理的思想和Chebyshev不等式，研究瞭兩兩NQD列在一類廣汎條件下的弱大數定律和一類加彊條件下的彊大數定律，得到瞭與獨立情形一緻的結果，還特彆討論瞭同分佈情形，推廣瞭相關文獻的結果．
이용량량NQD렬삼급수정리적사상화Chebyshev불등식，연구료량량NQD렬재일류엄범조건하적약대수정률화일류가강조건하적강대수정률，득도료여독립정형일치적결과，환특별토론료동분포정형，추엄료상관문헌적결과．
By the thoughts of three-series theorem and Chebyshev inequality,the author proves a series of weak law of large number and strong law of large number for pairwise NQD sequences under some mild conditions.Some new results about laws of large number in the pairwise independent case are extended.
