Premium
On the validation of fiducial techniques
Author(s) -
Plante André
Publication year - 1979
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315122
Subject(s) - fiducial marker , sample space , mathematics , probability distribution , conditional probability distribution , distribution (mathematics) , space (punctuation) , conditional probability , interpretation (philosophy) , sample (material) , value (mathematics) , statistics , statistical physics , computer science , artificial intelligence , mathematical analysis , physics , thermodynamics , programming language , operating system
A structured model is essentially a family of random vectors X θ defined on a probability space with values in a sample space. If, for a given sample value x and for each ω in the probability space, there is at most one parameter value θ for which X θ (ω) is equal to x , then the model is called additive at x. When a certain conditional distribution exists, a frequency interpretation specific to additive structured models holds, and is summarized in a unique structured distribution for the parameter. Many of the techniques used by Fisher in deriving and handling his fiducial probability distribution are shown to be valid when dealing with a structured distribution.