Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1147468 | Journal of Statistical Planning and Inference | 2013 | 12 Pages |
Abstract
We investigate the properties of Baker's (2008) bivariate distributions with fixed marginals and their multivariate extensions. The properties include the weak convergence to the Fréchet-Hoeffding upper bound, the product-moment convergence, as well as the dependence structures TP2 (totally positive of order 2), or MTP2 (multivariate TP2). In proving the weak convergence, a generalized local limit theorem for binomial distribution is provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin,