Measure transformer semantics for Bayesian machine learning

J Borgström, AD Gordon, M Greenberg… - … 2011, Held as Part of the …, 2011 - Springer
The Bayesian approach to machine learning amounts to inferring posterior distributions of
random variables from a probabilistic model of how the variables are related (that is, a prior …

Ancillaries and conditional inference

DAS Fraser - 2004 - projecteuclid.org
Sufficiency has long been regarded as the primary reduction procedure to simplify a
statistical model, and the assessment of the procedure involves an implicit global repeated …

Measure transformer semantics for Bayesian machine learning

J Borgström, AD Gordon, M Greenberg… - Logical Methods in …, 2013 - lmcs.episciences.org
The Bayesian approach to machine learning amounts to computing posterior distributions of
random variables from a probabilistic model of how the variables are related (that is, a prior …

On computability and disintegration

NL Ackerman, CE Freer, DM Roy - Mathematical Structures in …, 2017 - cambridge.org
We show that the disintegration operator on a complete separable metric space along a
projection map, restricted to measures for which there is a unique continuous disintegration …

[PDF][PDF] Minimal sufficient statistics emerge from the observed likelihood function

DAS Fraser, A Naderi - International Journal of Statistical Science, 2007 - utstat.toronto.edu
The likelihood statistic guides statistical analysis in almost all areas of application. A precise
definition of likelihood statistic is given, and simple and easy to use criteria are proposed to …

From the likelihood map to Euclidean minimal sufficiency

DAS Fraser, P McDunnough, A Naderi… - PROBABILITY AND …, 1997 - math.uni.wroc.pl
We use the minimal sufficiency of the likelihood map (Fraser et al.[9]) to show the existence
of a minimal sufficient statistic with Euclidean range under weak regularity conditions, and to …

A minimal sufficient statistic and representations of the densities

M Sato - Scandinavian journal of statistics, 1996 - JSTOR
A Minimal Sufficient Statistic and Representations of the Densities Page 1 ? Board of the
Foundation of the Scandinavian Journal of Statistics 1996. Published by Blackwell Publishers …

[HTML][HTML] IBEF Article Intuisi atau logika?

I atau Logika, CRT Test, RP Test, BF Test - sites.google.com
Bulan Desember dan Januari, masa di mana hujan sedang deras-derasnya turun di
Indonesia. Hampir semua orang mempersiapkan diri dengan membeli dan memakai …

On the definition of conditional probability

DAS Fraser, A Naderi - … in Probability and Statistics, VSP, Utrecht, 1996 - books.google.com
The definition of conditional probability is discussed in detail. The definition is based on the
derivative of measures and covers conditioning with respect to events of probability zero. It …

[PDF][PDF] ANo ANDRÉ PLANTE (MoNTREAL)

DAS FRASER, P McDUNNOUGH, ANAD ERI - utstat.toronto.edu
We use the minimal sufficiency of the likelihood map (Fraser et al.[9]) to show the existence
of a minimal sufficient statistic with Euclidean range under weak regularity conditions, and to …