What is the «likelihood function»?

(Dmitry Fedyuk) #1

In statistics, the likelihood function (often simply the likelihood) is the joint probability distribution of observed data expressed as a function of statistical parameters.

It describes the relative probability or odds of obtaining the observed data for all permissible values of the parameters, and is used to identify the particular parameter values that are most plausible given the observed data.

Many probability distributions have unknown parameters.
We estimate these unknowns using sample data.
The Likelihood function gives us an idea of how well the data summarizes these parameters.

What is the difference between the «likelihood function» and «probability density function» terms?
C. Randy Gallistel - «Bayes for Beginners: Probability and Likelihood» (2015)
(Dmitry Fedyuk) #2

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