Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156303 | Stochastic Processes and their Applications | 2009 | 18 Pages |
Abstract
The Markov binomial distribution is approximated by the Poisson distribution with the same mean, by a translated Poisson distribution and by two-parametric Poisson type signed measures. Using an adaptation of Le Cam’s operator technique, estimates of accuracy are proved for the total variation, local and Wasserstein norms. In a special case, asymptotically sharp constants are obtained. For some auxiliary results, we used Stein’s method.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Vydas Čekanavičius, Bero Roos,