| Article ID: | iaor2000578 |
| Country: | United Kingdom |
| Volume: | 35 |
| Issue: | 3 |
| Start Page Number: | 642 |
| End Page Number: | 650 |
| Publication Date: | Sep 1998 |
| Journal: | Journal of Applied Probability |
| Authors: | Gnedin Alexander V. |
Size-biased permutation (SBP) is a random arrangement of frequencies of distinct categories in the order in which the categories appear for the first time in the sampling process. We study the conditions under which the SBPs converge in distribution and discuss extended versions of SBP for the case when the sum of positive frequencies is less than 1.