
related topics 
{math, number, function} 
{household, population, female} 
{rate, high, increase} 
{math, energy, light} 

In probability theory, a probability density function (pdf), or density of a continuous random variable is a function that describes the relative likelihood for this random variable to occur at a given point. The probability for the random variable to fall within a particular region is given by the integral of this variable’s density over the region. The probability density function is nonnegative everywhere, and its integral over the entire space is equal to one.
The terms “probability distribution function”^{[1]} and “probability function”^{[2]} have also sometimes been used to denote the probability density function. However, special care should be taken around this usage since it is not standard among probabilists and statisticians. In other sources, “probability distribution function” may be used when the probability distribution is defined as a function over general sets of values, or it may refer to the cumulative distribution function, or it may be a probability mass function rather than the density. Further confusion of terminology exists because density function has also been used for what is here called the “probability mass function”.^{[3]}
Contents
Full article ▸


related documents 
Homology (mathematics) 
Goldbach's conjecture 
Linear independence 
Breadthfirst search 
Chaitin's constant 
Factorization 
Glossary of topology 
Euclidean algorithm 
Type theory 
Heine–Borel theorem 
Axiom schema of replacement 
Pushdown automaton 
Presentation of a group 
Euclidean space 
Binary relation 
Wiener process 
Natural number 
Abstract interpretation 
Random variable 
E (mathematical constant) 
Algebraic structure 
Linear combination 
Dijkstra's algorithm 
Euler characteristic 
Ideal class group 
Contextfree grammar 
MATLAB 
IEEE 7541985 
Elliptic curve 
Sequence 
