CONTENTSIntroduction..............................................................................................................51. Preliminaries........................................................................................................61.0. Measurable, probabilistic, and statistical spaces..............................................61.1. Transition functions..........................................................................................61.2. Linear space of P-bounded measurable real functions....................................81.3. Almost transition functions................................................................................92. Concrete categories of measurable, probabilistic, and statistical spaces..........143. Categories connected with transition functions..................................................163.1. Category .................................................................................163.2. Category ....................................................................................193.3. Category ......................................................................................203.4. Categories of indexed statistical spaces.........................................................234. Categories connected with almost transition functions......................................23Final remarks.........................................................................................................27References............................................................................................................28
@book{bwmeta1.element.zamlynska-6da84582-9729-4210-83e7-3679e9d49cc8,
author = {Tadeusz Bromek and Maria Moszy\'nska},
title = {Various categorical approaches to statistical spaces},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1983},
zbl = {0539.62006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-6da84582-9729-4210-83e7-3679e9d49cc8}
}
Tadeusz Bromek; Maria Moszyńska. Various categorical approaches to statistical spaces. GDML_Books (1983), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-6da84582-9729-4210-83e7-3679e9d49cc8/