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# probability density function

## noun

,

*Statistics.*- a function of a continuous variable whose integral over a region gives the probability that a random variable falls within the region.
- Also called
**frequency function.**a function of a discrete variable whose sum over a discrete set gives the probability of occurrence of a specified value.

probability density function

## noun

- statistics a function representing the relative distribution of frequency of a continuous random variable from which parameters such as its mean and variance can be derived and having the property that its integral from
*a*to*b*is the probability that the variable lies in this interval. Its graph is the limiting case of a histogram as the amount of data increases and the class intervals decrease in size Also calleddensity function Compare cumulative distribution function frequency distribution

## Discover More

## Word History and Origins

Origin of probability density function^{1}

First recorded in 1935–40

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## Word of the Day

[ak-suh-lot-l ]

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