density function
Noun
Meaning
density function (plural density functions)
(probability theory) Clipping of probability density function.
Examples
A common predictive distribution over future samples is the so-called plug-in distribution, formed by plugging a suitable estimate for the rate parameter λ into the exponential density function.
The density function of this distribution can be written as : The delta function is also used in a completely different way to represent the local time of a diffusion process (like Brownian motion ).
Histograms give a rough sense of the density of the underlying distribution of the data, and often for density estimation : estimating the probability density function of the underlying variable.
In practice this may be difficult to estimate as the density function is usually unknown.
Integration of the normal probability density function of the velocity, above, over the course (from 0 to ) and path angle (from 0 to ), with substitution of the speed for the sum of the squares of the vector components, yields the speed distribution.
In this case, the probability density function or probability mass function will be a special case of the more general form : where is the location parameter, θ represents additional parameters, and is a function parametrized on the additional parameters.