Statistical Problems Involving Permutations With Restricted Positions
Statistical Problems Involving Permutations With Restricted Positions
复制标题
涉及位置受限排列的统计问题
DOI：
10.1214/lnms/1215090070
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
Susan P. Holmes
中科院分区：
文献类型：
--
作者：
P. Diaconis;R. Graham;Susan P. Holmes
排列测试的丰富世界可以通过仅允许某些排列的各种应用程序来补充。我们考虑两个例子：用截断的数据测试独立性和用反馈测试超感官知觉。我们回顾了有关常量、车多项式和复杂性的相关文献。统计应用需要新的极限定理。我们证明了其中的一些，并通过斯坦因的方法提供了解决其余问题的方法。范德瓦尔登永久猜想的证明工具被用来证明自然单调性猜想。 AMS 主题分类：62G09、62G10。
The rich world of permutation tests can be supplemented by a variety of applications where only some permutations are permitted. We consider two examples: testing independence with truncated data and testing extra-sensory perception with feedback. We review relevant literature on permanents, rook polynomials and complexity. The statistical applications call for new limit theorems. We prove a few of these and offer an approach to the rest via Stein's method. Tools from the proof of van der Waerden's permanent conjecture are applied to prove a natural monotonicity conjecture. AMS subject classif?cations: 62G09, 62G10.
影响因子：
1.9
作者：
GUO, SW;THOMPSON, EA
通讯作者：
THOMPSON, EA