scholarly journals Error Bounds for the Normal Approximation to the Length of a Ewens Partition

2020 ◽  
pp. 55-73
Author(s):  
Koji Tsukuda
Keyword(s):  
Error Bounds ◽  
Normal Approximation

scholarly journals Error bounds in stochastic-geometric normal approximation

2008 ◽  
Vol DMTCS Proceedings vol. AI,... (Proceedings) ◽  
Author(s):  
Mathew Penrose ◽  
Tom Rosoman
Keyword(s):  
Poisson Process ◽  
Error Bounds ◽  
Normal Approximation ◽  
Approximation Error ◽  
Geometric Graphs ◽  
International Audience

International audience We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the points $x$ of a Poisson process (not necessarily homogeneous) in the unit $d$-cube, with each term $\xi_x$ determined by the configuration of Poisson points near to $x$ in some sense. We consider geometric graphs and coverage processes as examples of our general results.

Sign in / Sign up

Export Citation Format

Share Document