caa a22 4500 605521786 CHVBK 20210128100742.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10958-015-2222-y doi (NATIONALLICENCE)springer-10.1007/s10958-015-2222-y Abusev R. Perm State University, Perm, Russia aut On the Distances Between Certain Distributions in Multivariate Statistical Analysis* [Elektronische Daten] [R. Abusev] In this paper we study a problem of preserving probabilistic and statistical properties of random walks under sample space mapping, in particular, under mapping of random walk sample space into space of sufficient statistics of that random walk. We consider problems of closedness and completeness of random walks plans, formulate necessary condition of mapped plans completeness, consider problems of constructing unbiased estimate for function of unknown parameter, and find unbiased estimate for probability density of getting into reachable area. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/1(2015-02-01), 2-6 1072-3374 205:1<2 2015 205 10958 https://doi.org/10.1007/s10958-015-2222-y 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/s10958-015-2222-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Abusev R. Perm State University, Perm, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/1(2015-02-01), 2-6 1072-3374 205:1<2 2015 205 10958