scholarly journals Pragmatic Considerations on Comparative Probability

2016 ◽  
Vol 83 (3) ◽  
pp. 348-370 ◽  
Author(s):  
Thomas F. Icard
Keyword(s):  
Comparative Probability

scholarly journals Logics of imprecise comparative probability

2021 ◽  
Vol 132 ◽  
pp. 154-180 ◽  
Author(s):  
Yifeng Ding ◽  
Wesley H. Holliday ◽  
Thomas F. Icard
Keyword(s):  
Comparative Probability

Mathematical Alternatives to Standard Probability that Provide Selectable Degrees of Precision

2017 ◽  
Author(s):  
Terrence Fine
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Theory Of Measurement ◽  
Belief Functions ◽  
Standard Practice ◽  
Mathematical Probability ◽  
Comparative Probability ◽  
The Relationship ◽  
Standard Probability

This chapter challenges the nearly universal reliance upon standard mathematical probability for mathematical modeling of chance and uncertain phenomena, and offers four alternatives. In standard practice, precise assignments are made inappropriately, even to the occurrences of events that may be unobservable in principle. Four familiar examples of chance or uncertain phenomena are discussed, about which this is true. The theory of measurement provides an understanding of the relationship between the accuracy of information and the precision with which the phenomenon under examination should be modeled mathematically. The model of modal or classificatory probability offers the least precision. Comparative probability, plausibility/belief functions and upper/lower probabilities are carefully considered. The selectable precision of these alternative mathematical models of chance and uncertainty makes for an improved range of levels of accuracy in modeling the empirical domain phenomena of chance, uncertainty, and indeterminacy. Knowledge of such models encourages further thought in this direction.

In Reply: Relative Risk

PEDIATRICS ◽  
1985 ◽  
Vol 75 (6) ◽  
pp. 1169-1170
Author(s):  
W. THOMAS BOYCE
Keyword(s):  
Relative Risk ◽  
Relative Likelihood ◽  
Probability Ratio ◽  
Comparative Probability ◽  
Injury Causes

Sheps' point is appropriate and well-taken. Because of its greater familiarity to most readers, the term "relative risk" was used to refer to the comparative probability of various injury causes within sex and age categories of injured children. It would perhaps have been more accurate to describe this probability ratio as a "relative likelihood."

scholarly journals A note on cancellation axioms for comparative probability

2015 ◽  
Vol 80 (1) ◽  
pp. 159-166 ◽  
Author(s):  
Matthew Harrison-Trainor ◽  
Wesley H. Holliday ◽  
Thomas F. Icard
Keyword(s):  
Comparative Probability

scholarly journals Ellsberg Revisited: A New Look at Comparative Probability

1983 ◽  
Vol 11 (4) ◽  
pp. 1047-1059 ◽  
Author(s):  
Peter C. Fishburn
Keyword(s):  
Comparative Probability ◽  
New Look
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