| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5129933 | Statistics & Probability Letters | 2017 | 9 Pages |
Abstract
The Bernoulli sieve is an infinite occupancy scheme obtained by allocating the points of a uniform [0,1] sample over an infinite collection of intervals made up by successive positions of a multiplicative random walk independent of the uniform sample. We prove a law of the iterated logarithm for the number of non-empty (occupied) intervals as the size of the uniform sample becomes large.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Alexander Iksanov, Wissem Jedidi, Fethi Bouzeffour,