A strong law for weighted sums of i.i.d. random variables

Journal of Theoretical Probability

Volumn 8, Issue 3, 1995, Pages 625-641

  Cuzick, Jack ^a  

^a IMPERIAL CANCER RESEARCH FUND   (United Kingdom)

Author keywords

almost sure convergence; strong laws, Marcinkiewicz law of large numbers; triangular arrays; Weighted sums

Indexed keywords

EID: 0009976193     PISSN: 08949840     EISSN: 15729230     Source Type: Journal    
DOI: 10.1007/BF02218047     Document Type: Article

References (15)

1. Almost sure convergence theorems of weighted sums of random variables
2. Some convergence theorems for independent random variables
3. Limiting behavior of weighted sums of independent random variables
4. A limit theorem for random variables with infinite moments
5. Probability inequalities for sums of bounded random variables
6. Complete convergence and the law of large numbers
7. Iterated logarithm laws for asymmetric random variables barely with or without finite mean
8. On the almost certain limiting behavior of normed sums of identically distributed positive random variables
9. Maximal inequalities of weak type
10. Some results on the complete and almost sure convergence of linear combinations of independent random variables and martingale differences
11. Almost certain convergence in double arrays
12. A remark on almost sure convergence of weighted sums