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below. More generally, for any sufficiently regular function such that , the Fisher information to retrieve from is similarly computed to be

Matrix form

When there are N parameters, so that ? is an ''N'' × 1 vector the Fisher information takes the form of an ''N'' × ''N'' matrix. This matrix is called the Fisher information matrix (FIM) and has typical element

:

The FIM is a ''N'' × ''N'' positive semidefinite matrix.

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