A functional central limit theorem for weighted occupancy processes of Karlin model
| Autor: | Garza, Jaime, Wang, Yizao |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A functional central limit theorem is established for weighted occupancy processes of the Karlin model. The weighted occupancy processes take the form of, with $D_{n,j}$ denoting the number of urns with $j$-balls after first $n$ samplings, $\sum_{j=1}^na_jD_{n,j}$ for a prescribed sequence of real numbers $(a_j)_{j\in\mathbb N}$. The main applications are limit theorems for random permutations induced by Chinese restaurant processes with $(\alpha,\theta)$-seating with $\alpha\in(0,1), \theta>-\alpha$. An example is briefly mentioned here, and full details are provided in an accompanying paper. Comment: 33 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|