Open AccessBook
Statistical Decision Theory and Bayesian Analysis
Reads0
Chats0
TLDR
An overview of statistical decision theory, which emphasizes the use and application of the philosophical ideas and mathematical structure of decision theory.Abstract:
1. Basic concepts 2. Utility and loss 3. Prior information and subjective probability 4. Bayesian analysis 5. Minimax analysis 6. Invariance 7. Preposterior and sequential analysis 8. Complete and essentially complete classes Appendices.read more
Citations
More filters
Journal ArticleDOI
Towards optimization of chemical testing under REACH: a Bayesian network approach to Integrated Testing Strategies.
TL;DR: This paper proposes an information-theoretic approach to ITS development, the "ITS inference framework", which can be made operational by using Bayesian networks, and demonstrates how running the Bayesian network reveals a quantitative measure of Weight-of-Evidence.
Journal ArticleDOI
A General Framework for Updating Belief Distributions
TL;DR: In this article, the authors propose a framework for general Bayesian inference that uses loss-functions to connect information in the data to functionals of interest, and the updating of beliefs then follows from a decision theoretic approach involving cumulative loss functions.
Journal ArticleDOI
Addressing Adoption and Research Design Decisions Simultaneously: The Role of Value of Sample Information Analysis
Claire McKenna,Karl Claxton +1 more
TL;DR: The authors demonstrate that evaluation of both adoption and research decisions is feasible within typical time and resource constraints relevant to policy decisions, even in situations in which data are sparse and formal elicitation is required.
Journal ArticleDOI
Beyond the null ritual : Formal modeling of psychological processes
Julian N. Marewski,Henrik Olsson +1 more
TL;DR: Model testing has been widely used in scientific research as mentioned in this paper, where hypotheses are tested against each other, instead of against chance, which in turn enables a researcher to decide between competing theories based on quantitative measures.
Interval estimation in exponential families
TL;DR: In this paper, interval estimation of the mean in the natural exponential family with a quadratic variance function is considered. But the results and addi- tional computation suggest that the equal tailed Jereys interval and the likelihood ratio interval are the best overall alternatives to the Wald interval.