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Title: On Bayes Equality and Related Issues

Abstract

To make calculations in the Bayesian analysis, the formalism of which is based on the layering of a probability measure defined on the product of measurable spaces, it is useful to have a summary of the properties of this layering. In this paper we formulate and prove those of them that are used in calculations more often than others. Particularly, we prove Hoeffding-type inequalities using direct elementary techniques.

Authors:
 [1]
  1. OAS “Concern Automatics” (Russian Federation)
Publication Date:
OSTI Identifier:
22771597
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 228; Journal Issue: 5; Conference: International seminar on stability problems for stochastic models, Zakopane (Poland), 31 May - 5 Jun 2009; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; MATHEMATICAL SPACE; PROBABILITY; STATISTICAL MODELS

Citation Formats

Ivanov, I. V., E-mail: nadsuprun@gmail.com. On Bayes Equality and Related Issues. United States: N. p., 2018. Web. doi:10.1007/S10958-017-3637-4.
Ivanov, I. V., E-mail: nadsuprun@gmail.com. On Bayes Equality and Related Issues. United States. doi:10.1007/S10958-017-3637-4.
Ivanov, I. V., E-mail: nadsuprun@gmail.com. Thu . "On Bayes Equality and Related Issues". United States. doi:10.1007/S10958-017-3637-4.
@article{osti_22771597,
title = {On Bayes Equality and Related Issues},
author = {Ivanov, I. V., E-mail: nadsuprun@gmail.com},
abstractNote = {To make calculations in the Bayesian analysis, the formalism of which is based on the layering of a probability measure defined on the product of measurable spaces, it is useful to have a summary of the properties of this layering. In this paper we formulate and prove those of them that are used in calculations more often than others. Particularly, we prove Hoeffding-type inequalities using direct elementary techniques.},
doi = {10.1007/S10958-017-3637-4},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 228,
place = {United States},
year = {2018},
month = {2}
}