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Savage showed that whenever these six axioms are satisfied, the comparative belief relation can be represented by a unique probability function.
Likewise, on the belief side, some contend (notably, Joyce 2010) that the evidence may be such that it does not commit a rational agent to precise beliefs measurable by a unique probability function.
In any case, it turns out that when a person's preferences satisfy Savage's axioms, we can read off her preferences a comparative belief relation that can be represented by a (unique) probability function.
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The precise characterization of the RES output by means of a unique probability distribution is a challenging task.
By their definition, they imply a unique probability density function.
When qualitative probability relations are defined on a language with a rich enough vocabulary and satisfy one additional axiom, they can be shown to be representable by probability functions i.e., given any qualitative probability relation ⊆, there is a unique probability function P such that A ⊆ B just in case P[A] ≤ P[B].
Each model parameter was assigned a unique probability distribution based upon published estimates of uncertainty.
Those three values are averaged to produce a unique probability estimate for every gene.
The F61 codon substitution model describes the probabilities of any particular codon changing to another, allowing for all nonstop codon substitutions to have a unique probability of occurrence.
This equation can output a maximum of 128 unique probability estimates [ 16- 18].
A hazard rate implies a unique conventional probability density and its cumulative distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com