On strong forms of weak convergence

[摘要] We discuss three forms of convergence in distribution which are stronger than the normal weak convergence, and are non-topological in nature. We give Skorokhod representation results for two of these modes of convergence, and give applications to sufficient statistics and conditioned Markov processes, which an more difficult to obtain using weak convergence.

[发布日期] 1997-04-28

[关键词] convergence in distribution;Skorokhod representation;total variation metric