Document Type
Article
Publication Date
2023
Published In
Philosophy Of Science
Abstract
Well-known debates among statistical inferential paradigms emerge from conflicting views on the notion of probability. One dominant view understands probability as a representation of sampling variability; another prominent view understands probability as a measure of belief. The former generally describes model parameters as fixed values, in contrast to the latter. We propose that there are actually two versions of a parameter within both paradigms: a fixed unknown value that generated the data and a random version to describe the uncertainty in estimating the unknown value. An inferential approach based on CDs deciphers seemingly conflicting perspectives on parameters and probabilities.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Suzanne Thornton and M. Xie.
(2023).
"An Exploration Of Parameter Duality In Statistical Inference".
Philosophy Of Science.
DOI: 10.1017/psa.2023.174
https://works.swarthmore.edu/fac-math-stat/311
Comments
This work is freely available under a Creative Commons license