Name
Abstract | ||
|---|---|---|
A detailed study is made of the number of occupied seats in an unfriendly seating scheme with two rows of seats. An unusual identity is derived for the probability generating function, which is itself an asymptotic expansion. The identity implies particularly a local limit theorem with optimal convergence rate. Our approach relies on the resolution of Riccati equations. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.aam.2015.01.002 | Advances in Applied Mathematics |
Keywords | Field | DocType |
riccati equation,primary,stochastic dominance | Row,Generating function,Combinatorics,Mathematical analysis,Stochastic dominance,Asymptotic expansion,Rate of convergence,Riccati equation,Mathematics | Journal |
Volume | ISSN | Citations |
65 | 0196-8858 | 1 |
PageRank | References | Authors |
0.65 | 6 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hua-Huai Chern | 1 | 78 | 7.25 |
| Hsien-Kuei Hwang | 2 | 365 | 38.02 |
| Tsung-Hsi Tsai | 3 | 81 | 8.20 |