Samenvatting
This chapter concerns inductive logic in relation to mathematical
statistics. I start by introducing a general notion of probabilistic induc-
tive inference. Then I introduce Carnapian inductive logic, and I show
that it can be related to Bayesian statistical inference via de Finetti's
representation theorem. This in turn suggests how Carnapian induc-
tive logic can be extended to include inferences over statistical hy-
potheses. With this extension inductive logic becomes more easily
applicable to statistics. I consider two classical statistical procedures,
maximum likelihood estimation and Neyman-Pearson hypothesis test-
ing, and I discuss how they can be accommodated in an inductive logic
with hypotheses.
Originele taal-2 | English |
---|---|
Titel | EPRINTS-BOOK-TITLE |
Uitgeverij | University of Groningen |
Aantal pagina's | 32 |
Status | Published - 2009 |