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University of New Hampshire

SOME PROBLEMS IN BAYESIAN INFERENCE IN A NONCLASSICAL SETTING (OPERATIONAL STATISTICS, BETTING RATES, COHERENCE)

Abstract

dc:description.abstract

<p>The Bayesian inference strategy is studied within the framework of operational statistics (generalized sample spaces). Conditions necessary and sufficient for consistency and strict consistency of a complete betting rate assignment are derived. A constructive proof is given of the existence of a unique second-order probability which induces a given consistent and countably additive complete betting rate assignment. Continuity of the Bayesian inference strategy is investigated. Asymptotic properties of the Bayesian inference strategy are examined both at the level of betting rates and at the level of second-order probabilities.</p>

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy
Level thesis:degree_level
Dissertation
Year
1984

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • MAGNESS, CAROLYN MARGARET

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholars.unh.edu/dissertation/1429
OAI identifier oai:identifier
oai:scholars.unh.edu:dissertation-2428

Chain of custody

source
Harvested from
University of New Hampshire
Base URL
scholars.unh.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

MAGNESS, CAROLYN MARGARET. SOME PROBLEMS IN BAYESIAN INFERENCE IN A NONCLASSICAL SETTING (OPERATIONAL STATISTICS, BETTING RATES, COHERENCE). Dissertation thesis, 1984. https://scholars.unh.edu/dissertation/1429