In probability theory, a probability density function (PDF), density function, or density of an absolutely continuous random variable, is a function whose...

probability that a discrete random variable is exactly equal to some value. Sometimes it is also known as the discrete probability density function....

is a continuous distribution, then its probability density function is known as the conditional density function. The properties of a conditional distribution...

a probability density function, then the characteristic function is the Fourier transform (with sign reversal) of the probability density function. Thus...

distribution for a real-valued random variable. The general form of its probability density function is f ( x ) = 1 σ 2 π e − 1 2 ( x − μ σ ) 2 {\displaystyle f(x)={\frac...

cumulative distribution function, or by a multivariate probability density function together with a multivariate probability mass function. In the special case...

the area under the probability density function from negative infinity to x {\displaystyle x} . Cumulative distribution functions are also used to specify...

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of different...

than that it is contained in the distribution's support. The probability density function of the continuous uniform distribution is f ( x ) = { 1 b − a...

}f_{X}(u){\mathcal {L}}_{X\mid Y=y}(u)\,du}}} gives the posterior probability density function for a random variable X {\displaystyle X} given the data Y =...