We study the almost sure limiting behavior and convergence in probability of weighted partial sums of the form ~-~j=l, W~jX, j where { W~j, 1 -.~j ~< n, n 1> 1 } and {X,j, 1 ~~ 1 }are triangular arrays of random variables. The results obtain irrespective of the joint distributions of the random vari
Limiting behavior of weighted sums with stable distributions
โ Scribed by Chen Pingyan
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 115 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0167-7152
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โฆ Synopsis
We present an integral test to determine the limiting behavior of weighted sums of independent, symmetric random variables with stable distributions, and deduce Chover-type laws of the iterated logarithm for them.
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