Connections to Statistical Inference and Epistemic Probabilities

Autor: Inge S. Helland
Rok vydání: 2021
Předmět:
Zdroj: Epistemic Processes ISBN: 9783030819224
DOI: 10.1007/978-3-030-81923-1_6
Popis: This chapter deals with theoretical issues that certainly can be more extensively discussed. The mathematics of the previous chapters is further developed, and some implied connections are indicated. My approach to quantum theory is first summarized and made precise in terms of positive operator valued measures and projection valued measures. Then it is shown that some of the concepts involved in this development also can be found again in the statistical theory of experimental design. A possible way to generalize statistical inference inspired by my version of quantum theory is sketched and indicated to be useful. The partial least squares regression history is told as an example where it is reasonable to develop reduced models from conceptual variables. Quantum probabilities can quite generally be seen as special cases of epistemic probabilities. Aspects of the opposite connection are also developed.
Databáze: OpenAIRE