Metrics on permutations useful for positive dependence

✍ Scribed by H.W. Block; D. Chhetry; Z. Fang; Allan R. Sampson

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 706 KB
• Volume: 62
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(96)00190-5

✦ Synopsis

For two permutations i andj of the integers 1, ..., n, a number of different metrics measuring the distance between i andj are studied in a unified fashion. Attention is focused on two new metrics and on two previously studied metrics. One of the new metrics is related to the more associated partial ordering between pairs of bivariate random vectors. Results arc also given connecting these metrics to a number of previously considered partial orderings on the set of all permutations of 1 ..... n where these partial orderings were used to describe when one bivariate empirical distribution function was more positively dependent than another. ,~ 1997 Elsevier Science B.V.