Various categorical approaches to statistical spaces

Tadeusz Bromek; Maria Moszyńska

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1983

Abstract

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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 M e s t r a n s .................................................................................163.2. Category S t t r a n s ....................................................................................193.3. Category S t d i s t ......................................................................................203.4. Categories of indexed statistical spaces.........................................................234. Categories connected with almost transition functions......................................23Final remarks.........................................................................................................27References............................................................................................................28

How to cite

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Tadeusz Bromek, and Maria Moszyńska. Various categorical approaches to statistical spaces. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1983. <http://eudml.org/doc/268565>.

@book{TadeuszBromek1983,
abstract = {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 $Mes_\{trans\}$.................................................................................163.2. Category $St_\{trans\}$....................................................................................193.3. Category $St_\{dist\}$......................................................................................203.4. Categories of indexed statistical spaces.........................................................234. Categories connected with almost transition functions......................................23Final remarks.........................................................................................................27References............................................................................................................28},
author = {Tadeusz Bromek, Maria Moszyńska},
keywords = {survey; categories of statistical spaces},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Various categorical approaches to statistical spaces},
url = {http://eudml.org/doc/268565},
year = {1983},
}

TY - BOOK
AU - Tadeusz Bromek
AU - Maria Moszyńska
TI - Various categorical approaches to statistical spaces
PY - 1983
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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 $Mes_{trans}$.................................................................................163.2. Category $St_{trans}$....................................................................................193.3. Category $St_{dist}$......................................................................................203.4. Categories of indexed statistical spaces.........................................................234. Categories connected with almost transition functions......................................23Final remarks.........................................................................................................27References............................................................................................................28
LA - eng
KW - survey; categories of statistical spaces
UR - http://eudml.org/doc/268565
ER -

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