The idea for this book came from the time the authors spent at the Statistics and Applied Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …
The idea for this book came from the time the authors spent at the Statistics and Applied Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …
B Clarke, Y Yao - Statistical Science, 2025 - projecteuclid.org
This paper reviews the growing field of Bayesian prediction. Bayesian point and interval prediction are defined and situated in statistical prediction more generally. Then, four …
DAS Fraser, N Reid, E Marras… - Journal of the Royal …, 2010 - academic.oup.com
We investigate the choice of default priors for use with likelihood for Bayesian and frequentist inference. Such a prior is a density or relative density that weights an observed …
Uncertainty theory is a branch of axiomatic mathematics concerned with human's belief degree. The maximum entropy principle states that the probability distribution with maximal …
A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is …
We propose a distribution‐free entropy‐based methodology to calculate the expected value of an uncertainty reduction effort and present our results within the context of reducing …
A betting game establishes a sense in which confidence measures, confidence distributions in the form of probability measures, are the only reliable inferential probability distributions …
Model complexity plays an essential role in its selection, namely, by choosing a model that fits the data and is also succinct. Two-part codes and the minimum description length have …