45 citations · 110 across the 15 of their papers we have counts for
7 papers · 1 filter
Measurability of Intersections of Measurable Multifunctions
Gunnar Taraldsen
We prove universal compact-measurability of the intersection of a compact-measurable Souslin family of closed-valued multifunctions. This generalizes previous results on intersecti…
On the proper treatment of improper distributions
Bo H. Lindqvist, Gunnar Taraldsen
The axiomatic foundation of probability theory presented by Kolmogorov has been the basis of modern theory for probability and statistics. In certain applications it is, however, n…
Conditional fiducial models
Gunnar Taraldsen, Bo H. Lindqvist
The fiducial is not unique in general, but we prove that in a restricted class of models it is uniquely determined by the sampling distribution of the data. It depends in particula…
Improper posteriors are not improper
Gunnar Taraldsen, Jarle Tufto, Bo H. Lindqvist
In 1933 Kolmogorov constructed a general theory that defines the modern concept of conditional expectation. In 1955 Renyi fomulated a new axiomatic theory for probability motivated…
Image transformations on locally compact spaces
Gunnar Taraldsen
An image is here defined to be a set which is either open or closed and an image transformation is structure preserving in the following sense: It corresponds to an algebra homomor…
Nonlinear probability. A theory with incompatible stochastic variables
Gunnar Taraldsen
In 1991 J.F. Aarnes introduced the concept of quasi-measures in a compact topological space and established the connection between quasi-states on and quasi-measures in…
Fiducial on a string
Gunnar Taraldsen, Bo Henry Lindqvist
The fiducial argument of Fisher (1973) has been described as his biggest blunder, but the recent review of Hannig et al. (2016) demonstrates the current and increasing interest in…