Posterior used in a sentence

Posterior in a sentence as a noun

This gives you a posterior distribution over new ratings for an item.

And I found that every single data point makes a noticeable shift in the posterior opinions that should be held.

It doesn't store any sparse contingency tables or anything like that -- all it stores are CrossCat posterior samples.

Another option would be to generate the prior based on the posterior distributions of other items.

I'm interested to know whether this IQ conflict theory is actually based on something or whether it's coming from your posterior.

This makes the computations much faster since the posterior distributions is a few matrix operations away.

The benefit of a posterior here is that it lets you rank items by thinking in terms of the probability that the viewer would rank one item higher than another at random.

In the cookie-jar example at stackexchange, the 70% credibility interval is "wrong" 80% of the time when the jar is type B. That means if you send out 100 "Bayesian" robots to assess what type of jar you have, each robot sampling one cookie, you will expect 80 of the robots to get the wrong answer, each having >73% posterior probability in that wrong conclusion!

Posterior in a sentence as an adjective

And no practitioner of Bayesian methods should argue that confidence intervals that meet their worst-case coverage guarantee are "wrong" because the person uses posterior probabilities.

Confidence intervals are a worst-case technique and posterior probabilities are a sort of average-case technique.

In fact, even as recently as the 1990s, it was regarded with suspicion by many statisticians, who strongly disliked the idea that prior and posterior distributions are meant to represent subjective states of belief.

From a Bayesian perspective, you should have had a high prior that lifting weights will cause an in increase your longevity because of several plausible mechanisms, and this study should slightly increase your posterior probability for that causation.

Iranians call it Halal, Americans call it counter-terrorism and intellectual property, others call it enforcement of rightous morals, upright character, national concensus, surprise non-consensual posterior-sex or whatever label one assigns to power-grab.

[1] "The identified variables were age, PCL:YV Factor 1, PCL:YV Factor 2, years of regular substance use, total number of convictions, ICU, SES, brain volume, left and right lateral orbital frontal cortex, medial orbital frontal cortex, anterior and posterior cingulate, right temporal pole, and right and left parahippocampal cortex.

There are a number of different experiments that lead to this conclusion, but perhaps the simplest is the observation that when the selector gene engrailed is removed, in vivo, from a posterior clone of cells in the wing, those cells gain anterior affinity: they now sort out from posterior cells and, if they are in contact with anterior cells, will sort into and mingle with them.