The Annals of Statistics

Upper and Lower Probability Inferences for the Logistic Function

Sandra A. West

Full-text: Open access

Abstract

A general system of inference which leads to upper and lower posterior distributions based on sample data has been proposed by Dempster (1967). This general theory of inference is applied to the two-parameter logistic function, given the data from independent binomial populations. Inferences are developed for fixed regions about the two parameters and about interesting combinations of these parameters. The resulting upper and lower probabilities are generated by a random polygonal-type region, or more exactly by specific extreme points of this region. For these extreme points, the exact marginal and joint distributions are derived; approximate distributions are also derived.

Article information

Source
Ann. Statist., Volume 7, Number 2 (1979), 400-413.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176344623

Digital Object Identifier
doi:10.1214/aos/1176344623

Mathematical Reviews number (MathSciNet)
MR520249

Zentralblatt MATH identifier
0401.62006

JSTOR
links.jstor.org

Subjects
Primary: 62A99: None of the above, but in this section

Keywords
Upper and lower probability inferences two parameter logistic function upper and lower posterior probabilities marginal and joint distributions of extreme points of a random polygonal region exact and approximate distributions

Citation

West, Sandra A. Upper and Lower Probability Inferences for the Logistic Function. Ann. Statist. 7 (1979), no. 2, 400--413. doi:10.1214/aos/1176344623. https://projecteuclid.org/euclid.aos/1176344623


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