Poincar\'{e} and Weak Poincar\'{e} Inequalities for the Mixed Poisson Measures
Probability
2012-09-18 v4
Abstract
By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincar\'{e} and weak Poincar\'{e} inequalities are established, while another Poincar\'{e} type inequality is disproved under some reasonable assumptions.
Keywords
Cite
@article{arxiv.1110.5052,
title = {Poincar\'{e} and Weak Poincar\'{e} Inequalities for the Mixed Poisson Measures},
author = {Chang-Song Deng},
journal= {arXiv preprint arXiv:1110.5052},
year = {2012}
}