Chover-Type Laws of the Iterated Logarithm for Kesten-Spitzer Random Walks in Random Sceneries Belonging to the Domain of Stable Attraction
Let X={Xi,i≥1} be a sequence of real valued random variables, S0=0 and Sk=∑i=1kXi (k≥1). Let σ={σ(x),x∈Z} be a sequence of real valued random variables which are independent of X’s. Denote by Kn=∑k=0nσ(⌊Sk⌋) (n≥0) Kesten-Spitzer random walk in random scenery, where ⌊a⌋ means the unique integer sat...
| Published in: | Discrete Dynamics in Nature and Society |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Online Access: | http://dx.doi.org/10.1155/2018/8968947 |