Sentence examples for measures of inaccuracy from inspiring English sources

All of Joyce's measures of inaccuracy agree that an agent whose degree of belief function violates the probability axioms should adopt a probabilistic degree of belief function which is more accurate in each possible world.

The objection, known as Bronfman's objection, that has attracted most attention starts by noting that Joyce's conditions on measures of inaccuracy do not determine a single measure, but rather a whole set of such measures.

Leitgeb & Pettigrew (2010a; 2010b) present conditions that narrow down the set of measures of inaccuracy to the so-called quadratic scoring rules of the form λ(b(A) − w(A))2, where w(A) is 1 if A is true in w, and 0 otherwise.

I will focus on a particular condition that Joyce places on measures of inaccuracy, namely, Strong Convexity (Joyce calls it Weak Convexity, but I change the name in this presentation because, as Patrick Maher (2002) points out, it is considerably stronger than Joyce imagines).

Let us say that Brier Inaccuracy is the claim that the Brier score is the only legitimate measure of inaccuracy.

So the specific advice is this: adopt one of the probabilistic credence functions that strongly dominates your non-probabilistic credence function relative to your favoured measure of inaccuracy.

Then, following a point already made above in our treatment of calibration arguments for Probabilism, we note that this, on its own, cannot define a measure of inaccuracy because it lacks a crucial feature that we demand of any such measure: it is not truth-directed.

It offers more insight into the observed differences, as ρc equals the product of the standard Pearson's correlation r (a measure of imprecision) and the bias coefficient c b (a measure of inaccuracy).

Thus, if an agent's distance from her perfectly calibrated counterpart is to contribute to a measure of her inaccuracy, it must be supplemented by something that ensures that the resulting measure avoids this consequence.

Our choice of a relative measure for degree of inaccuracy may have increased the apparent degree of inaccuracy for low-risk scenarios.

To gain a more detailed understanding of the differences between the two methods, we explored how well they inferred positions of recombination in the parents using measures of imprecision and inaccuracy.