Predictive density estimation under the Wasserstein loss

Autor: Matsuda, Takeru, Strawderman, William E.
Rok vydání: 2019
Předmět:
Zdroj: Journal of Statistical Planning and Inference, 210, 53--63, 2021
Druh dokumentu: Working Paper
DOI: 10.1016/j.jspi.2020.05.005
Popis: We investigate predictive density estimation under the $L^2$ Wasserstein loss for location families and location-scale families. We show that plug-in densities form a complete class and that the Bayesian predictive density is given by the plug-in density with the posterior mean of the location and scale parameters. We provide Bayesian predictive densities that dominate the best equivariant one in normal models.
Databáze: arXiv