6533b7dbfe1ef96bd126fdda

RESEARCH PRODUCT

Probabilistic inference of approximations

Juris Viksna

subject

Predictive inferenceProbabilistic logic networkFrequentist inferenceProbabilistic CTLProbabilistic logicFiducial inferenceStatistical inferenceApplied mathematicsVariable eliminationMathematics

description

We consider probabilistic inductive inference of Godel numbers of total recursive functions when the set of possible errors is allowed to be infinite, but with bounded density. We have obtained hierarchies of classes of functions identifiable with different probabilities up to sets with fixed density. The obtained hierarchies turn out to be different from those which we have in the case of exact identification.

https://doi.org/10.1007/bfb0030401