Limit infimum results for subsequences of partial sums and random sums of i.i.d. random variables

作者：Sreehari Maddipatla^*; Divanji Gooty

来源：Statistics & Probability Letters, 2014, 95: 101-109.

DOI：10.1016/j.spl.2014.07.027

• Law of the iterated logarithm
• Subsequences
• Asymmetric stable law
• Domain of attraction
• Random sums
• Regularly varying function

We consider independent random variables {X-n} with a common distribution function F in the domain of attraction of an asymmetric stable law with exponent alpha not equal 1, and we prove limit infimum results for subsequences of partial sums of X-n and random sums.

• 出版日期2014-12