probability mass function


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probability mass function

[‚präb·ə′bil·əd·ē ¦mas ‚fəŋk·shən]
(statistics)
A function which gives the relative frequency of each possible value of the random variable in an experiment involving a discrete set of outcomes. Abbreviated p.m.f.
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In the frequency domain, the frequency can be considered to be the random variable and the normalized spectrum to be the probability mass function.
By considering the spectral amplitude to be the random variable, a different entropy can also be defined and computed using Shannon's formula; the probability mass function of the amplitude intensities can be estimated using a histogram.
it is an entropy computed using Shannon's formula and the correct probability mass function.
tau]] are mutually independent, with respective conditional probability mass function
The probability mass function gives the probability of each chronon.
The probability mass function for an indeterminate instant is supplied when the instant is created.
The two cases differ regarding the degree of uncertainty and the probability mass function G([R.
The appropriate probability mass function may be derived, and is given by:
The probability mass function can then be approximated as the frequency of occurrences in each bin width.
To estimate the probability mass functions, the probability space is partitioned into equal bin numbers, [L.
For a discrete random variable f(x) interpreted as Pr{X = x} is the probability mass function (pmf).
The authors introduce order statistics and applications, then cover basic distribution theory, including joint distribution of two order statistics, discrete order statistics, including joint probability mass functions and distributions of the range, order statistics from specific distributions, including Bernoulli and Poisson distributions moment relations, bounds, approximations, characterizations using order statistics, order statistics in statistical inference, asymptotic theory, including central and intermediate order statistics and record values.

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