Statistics as Inductive Inference

J.-W. Romeijn*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

6 Citations (Scopus)
337 Downloads (Pure)

Abstract

This chapter1 concerns the relation between statistics and inductive logic. I start by describing induction in formal terms, and I introduce a general notion of probabilistic inductive inference. This provides a setting in which statistical procedures and inductive logics can be cap- tured. Speciacally, I discuss three statistical procedures (hypotheses testing, parameter estimation, and Bayesian statistics) and I show to what extend they can be captured by certain inductive logics. I end with some suggestions on how inductive
Original languageEnglish
Title of host publicationPhilosophy of Statistics
EditorsPrasanta S. Bandyopadhyay, Malcolm R. Forster
PublisherElsevier
Pages751-774
Number of pages24
Volume7
DOIs
Publication statusPublished - 2011

Publication series

NameHandbook of the Philosophy of Science
PublisherElsevier

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