期刊文献+

两参数σ-域族的性质

Property of a Family of Two-parameter σ-fields
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摘要 本文给出了两参数σ-域族的F4条件的一个等价命题,仅在F4条件下从同纹集出发讨论了两参数σ-域族的构造,证明了在F5条件下本文的同纹集就是局部可比较集,由此我们得到了伴随σ-域族和伴随鞅。 In this paper, a necessary and sufficient condition of F4 is given, a structure of a family of two-parameter fields is discussed only under condition F4 from similar veined sets, and it is proved that the similar veined sets are the comparable partially sets under condition F5. From this the accompanying family of two-parameter σ-fields and the accompanying martingale are got.
作者 陈宗洵
出处 《漳州师范学院学报(自然科学版)》 2000年第3期9-14,18,共7页 Journal of ZhangZhou Teachers College(Natural Science)
关键词 两参数σ-域族 两参数鞅 伴随σ-域族 伴随鞅 Family of two-parameter σ-fields, Two-parameter martingale,Accompanying family of σ-fields, Accompanying martingale
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参考文献4

  • 1陈培德,庄兴无.ON LOCAL COMPARABILITY AMONG FAMILIES OF SUB-σ-FIELDS[J]Acta Mathematicae Applicatae Sinica(English Series),1988(02).
  • 2Gheorghi?? Zb?ganu,Xing Wu Zhuang. Two-parameter filtrations with respect to which all martingales are strong[J] 1982,Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete(4):437~452
  • 3Annie Millet,Louis Sucheston. On regularity of multiparameter amarts and martingales[J] 1981,Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete(1):21~45
  • 4R. Cairoli,John B. Walsh. Stochastic integrals in the plane[J] 1975,Acta Mathematica(1):111~183

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