probability density function

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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.

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Origin of probability density function

First recorded in 1935–40

Words nearby probability density function

prob, probabilism, probabilistic, probability, probability curve, probability density function, probability distribution, probability function, probability theory, probability wave, probable

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

How to use probability density function in a sentence

Not long after I was finally diagnosed, my doctor ordered a bone density scan.
You’re Never ‘Cured’ of an Eating Disorder|Carrie Arnold|December 20, 2014|DAILY BEAST
Later studies showed that only gaining weight and the return of natural menstruation help improve bone density.
You’re Never ‘Cured’ of an Eating Disorder|Carrie Arnold|December 20, 2014|DAILY BEAST
This leaves people with a history of anorexia and reduced bone density like me at high risk for fractures.
You’re Never ‘Cured’ of an Eating Disorder|Carrie Arnold|December 20, 2014|DAILY BEAST
But he's immersing himself, creating the density of felt detail from which fine performances emerge.
Alfred Hitchcock’s Fade to Black: The Great Director’s Final Days|David Freeman|December 13, 2014|DAILY BEAST

But the copper performs another important function: working as a catalyst in the distillation process.
When It Comes to Great Whisky, The Size of Your Still Matters||December 9, 2014|DAILY BEAST
At last there appeared some probability of their accomplishing this, after a most curious and truly Mexican fashion.
Blackwood's Edinburgh Magazine, No. CCCXXXIX. January, 1844. Vol. LV.|Various
But if the Bible was written by men, some of them more or less inspired, then it would not, in all probability be wholly perfect.
God and my Neighbour|Robert Blatchford
To prevent intruders or extruders from withdrawing his mind from the text, he exercises the Inhibitory function of the Attention.
Assimilative Memory|Marcus Dwight Larrowe (AKA Prof. A. Loisette)
Little girls perhaps represent the attractive function of adornment: they like to be thought pretty.
Children's Ways|James Sully
This is hardly a function—parties even in the big political country-houses are more or less informal.
Ancestors|Gertrude Atherton

British Dictionary definitions for probability density function

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 sizeAlso called: density function Compare cumulative distribution function, frequency distribution

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012