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cumulative distribution function
(redirected from Probability distribution function)

   Also found in: Acronyms, Wikipedia 0.01 sec.
cumulative distribution function
n
(Mathematics & Measurements / Statistics) Statistics a function defined on the sample space of a distribution and taking as its value at each point the probability that the random variable has that value or less. The function F(x) = P(Xx) where X is the random variable, which is the sum or integral of the probability density function of the distribution Sometimes shortened to distribution function


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The probability density function of a two-parameter exponential distribution is given by: f(t;[mu],[theta]) = [1/[theta]]exp{-(t-[mu])/[theta]}, t[greater than or equal to][mu] and t[greater than or equal to]0 Where: [mu] = The location parameter [theta]>0 = The scale parameter The probability distribution function is: F(t;[mu],[theta]) = 1-exp{-(t-[mu])/[theta]}.
1) [FIGURE 1 OMITTED] For millions of fibers, it is impractical to specify the orientation of each fiber and an alternative is to use the probability distribution function [psi]([theta],[empty set]) [1], which describes the probability of finding fibers with orientation ([theta],[empty set]) in the specimen (23).
The international contributors model asynchronous systems using probability distribution functions, compare onloading and offloading strategies to improve network interfaces, and exploit data- and thread-level parallelism for image correlation.
 
 
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