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Statistics[FisherInformation] - Fisher information of a distribution
Calling Sequence
FisherInformation(R, N, U)
Parameters
R
-
algebraic; a random variable or distribution
N
algebraic, posint; number of samples
U
symbol; a distribution parameter
Description
The FisherInformation function computes the Fisher information of a random variable or a distribution. The Fisher information is defined as the amount of information conveyed towards the value of a distribution parameter in a particular sample.
The first parameter R can be a distribution (see Statistics[Distribution]), a random variable, or an algebraic expression involving random variables (see Statistics[RandomVariable]).
The second parameter N is an algebraic expression or positive integer which indicates the number of samples considered.
The third parameter U is a symbol which provides a parameter in the distribution for which the Fisher information should be calculated. For example, the distribution has two parameters ( and ) for which the Fisher information may be calculated.
Examples
Calculate the Fisher information of each term of the normal distribution.
See Also
Statistics, Statistics[Computation]
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