Article ID: | iaor1999385 |
Country: | United Kingdom |
Volume: | 35 |
Issue: | 1 |
Start Page Number: | 36 |
End Page Number: | 45 |
Publication Date: | Mar 1998 |
Journal: | Journal of Applied Probability |
Authors: | Grbel Rudolf |
Keywords: | markov processes |
We obtain bounds for the distribution of the number of comparisons needed by Hoare's randomized selection algorithm FIND and give a new proof for Grübel and Rösler's result on the convergence of this distribution. Our approach is based on the construction and analysis of a suitable associated Markov chain. Some numerical results for the quantiles of the limit distributions are included, leading for example to the statement that, for a set