caa a22 4500 60552467X CHVBK 20210128100755.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10958-014-2189-0 doi (NATIONALLICENCE)springer-10.1007/s10958-014-2189-0 Ermakov M. Mechanical Engineering Problems Institute of RAS, St. Petersburg State University, St. Petersburg, Russia aut Large Deviation Principle for Moderate Deviation Probabilities of Bootstrap Empirical Measures [Elektronische Daten] [M. Ermakov] We prove two Large Deviation Principles (LDP) in the zone of moderate deviation probabilities. First we establish the LDP for conditional distributions of moderate deviations of empirical bootstrap measures given an empirical probability measure. Then we establish the LDP for the joint distributions of an empirical measure and a bootstrap empirical measure. Using these LDPs, similar LDPs for differentiable statistical functionals can be established. The LDPs for moderate deviations of an empirical quantile process and an empirical bootstrap copula function are provided as illustrations of these results. Bibliography: 28 titles. Springer Science+Business Media New York, 2014 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 204/1(2015-01-01), 90-115 1072-3374 204:1<90 2015 204 10958 https://doi.org/10.1007/s10958-014-2189-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-014-2189-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ermakov M. Mechanical Engineering Problems Institute of RAS, St. Petersburg State University, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 204/1(2015-01-01), 90-115 1072-3374 204:1<90 2015 204 10958