Number of the records: 1
Behavior and Convergence of Wasserstein Metric in the Framework of Stable Distributions
- 1.0388146 - ÚTIA 2013 RIV CZ eng J - Journal Article
Omelchenko, Vadym
Behavior and Convergence of Wasserstein Metric in the Framework of Stable Distributions.
Bulletin of the Czech Econometric Society. Roč. 2012, č. 30 (2012), s. 124-138. ISSN 1212-074X
R&D Projects: GA ČR GAP402/10/0956
Institutional research plan: CEZ:AV0Z10750506
Institutional support: RVO:67985556
Keywords : Wasserstein Metric * Stable Distributions * Empirical Distribution Function
Subject RIV: BB - Applied Statistics, Operational Research
http://library.utia.cas.cz/separaty/2013/E/omelchenko-behavior and convergence of wasserstein metric in the framework of stable distributions.pdf
In this paper, we aim to explore the speed of convergence of the Wasserstein distance between stable cumulative distribution functions and their empirical counterparts. The theoretical results are compared with the results provided by simulations. The need to use simulations is explained by the fact that all the theoretical results which relate to the speed of convergence of the Wasserstein Metric in the set-up of stable distributions are asymptotic; therefore, the question of when that theory starts to be valid remains open. The asymptotic results are true only for relatively large numbers of observations exceeding hundreds of thousands. In cases dealing with lower numbers of observations, the speed of convergence turns out to be much slower than we might expect.
Permanent Link: http://hdl.handle.net/11104/0217170
Number of the records: 1