probability density function

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probability density function

(Statistics) 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 called: density function Compare cumulative distribution function, frequency distribution
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

probabil′ity den`sity func`tion

1. a function of a continuous variable whose integral over a region gives the probability that a random variable falls within the region.
2. a function of a discrete variable whose sum over a discrete set gives the probability of occurrence of a specified value.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
References in periodicals archive ?
Based on the region-enhanced CT image [I.sub.Rh](x) and its enhanced segmentation GRh(x), the probability density function of CT [f.sub.R](i) was generated as follows:
If the state [y.sub.k] is noise, the probability density function of measured value [Z.sub.k]([y.sub.k]) is denoted as [p.sub.n](y).
Estimation of the Probability Density Function of the Waterlogging Height.
In Figure 6(2), c is a graph of the probability density function of m in the case of [epsilon] = 0.2, where T is less than [T.sub.c].
The probability density function of the production of matrix asphalt materials is shown in Figure 2.
We also apply the same result to the difference of the probability density function in Figure 2.
The probability density function of a normal distribution is given as follows [13]:
Consider a random sample of size n of [L.sub.i] with the probability density function
To solve for turbulent flow without closely associated defferent dynamical mechanics, a probability density function method is adopted to describe the pulsating intensity of velocity of fluid particles in this study.
Different properties were used to find out the cumulative distribution function, probability density function (PDF), hazard function, Reverse Hazard and survival functions.

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