Limit law of the iterated logarithm for B-valued trimmed sums

作者：Fu, Ke-Ang; Qiu, Yuyang^*; Tong, Yeling

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2015, 125(2): 221-225.

DOI：10.1007/s12044-015-0224-9

• Banach space
• trimmed sums
• the limit law of the iterated logarithm

Given a sequence of i.i.d. random variables {X,X (n) ;na parts per thousand yen1} taking values in a separable Banach space (B, ayena <...ayen) with topological dual B (au), let if ayenX (m) ayen is the r-th maximum of {ayenX (k) ayen;1a parts per thousand currency signka parts per thousand currency signn} and be the trimmed sums when extreme terms are excluded, where . In this paper, it is stated that under some suitable conditions, where and is the unit ball of B*.

• 出版日期2015-5
• 单位浙江工商大学