负相关下Poincare常数的界
Bounds on the Poincare constant under negative dependence
摘要：
在负相依假设下，如超对数相依和全负相依假设下，给出了非负整数值随机变量W的Poincare（逆谱隙）常数的界.我们表明，得到的界限比较以及在文献中的其他人。处理的例子包括一些占用和瓮模型，随机图模型和小间距的圆周的圆。应用泊松收敛定理被认为是。
英文摘要：
We give bounds on the Poincare (inverse spectral gap) constant of a non-negative, integer-valued random variable W, under negative dependence assumptions such as ultra log-concavity and total negative dependence. We show that the bounds obtained compare well to others in the literature. Examples treated include some occupancy and urn models, a random graph model and small spacings on the circumference of a circle. Applications to Poisson convergence theorems are considered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
