On complete convergence of the sum of a random number of a stable type P random elements
Complete convergence for randomly indexed normalized sums of random elements of the form ∑j=1TnXj/ϕ(Tn) is established. The random elements {Xn} belong to a type p stable space and are assumed to be independent, but not necessarily identically distributed. No assumptions are placed on the joint dist...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000032 |
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| Summary: | Complete convergence for randomly indexed normalized sums of random
elements of the form ∑j=1TnXj/ϕ(Tn) is established. The random elements {Xn} belong to
a type p stable space and are assumed to be independent, but not necessarily identically
distributed. No assumptions are placed on the joint distributions of the stopping times
{Tn}. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |