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Encyclopedia > Inverse probability

In probability theory, inverse probability is an obsolete term for the probability distribution of an unobserved variable.


Given a probability distribution p(x|θ) for an observable quantity x conditional on an unobserved variable θ, the "inverse probability" is the posterior distribution p(θ|x). The distribution p(x|θ) itself is called the direct probability.


The terms "direct probability" and "inverse probability" were in use until the middle part of the twentieth century, when the terms "likelihood function" and "posterior distribution" became prevalent. See also Bayesian probability and Bayes' theorem.


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Spam Detection (3243 words)
Also, this calculation will treat the probability guesstimates in a way that is consistent with a theorem [1] that proves a most-sensitive-possible technique for determining whether there is an underlying tendency for probabilities to go in a particular direction.
The null hypothesis is that the probabilities are independent and uniformly distributed.
f(w) is a probability guesstimate that smoothly handles the case of n=0 and other low-n cases in a consistent and meaningful way.
inverse probability: Information from Answers.com (212 words)
In probability theory, inverse probability is an obsolete term for the probability distribution of an unobserved variable.
The inverse probability problem (in the 1700s and 1800s) was the problem of estimating a parameter from experimental data in the experimental sciences, especially astronomy and biology.
The terms "direct probability" and "inverse probability" were in use until the middle part of the twentieth century, when the terms "likelihood function" and "posterior distribution" became prevalent.
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