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Fisher information
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In mathematical statistics, the Fisher information is a way of measuring the amount of information that an observable random variable X carries about an unknown parameter θ of a distribution that mode
Sir Ronald Aylmer Fisher (1890–1962) in 1912, as a Steward at the First International Eugenics Conference
Sir Ronald Aylmer Fisher (1890–1962) in 1912, as a Steward at the First International Eugenics Conference
Cramér–Rao bound
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In estimation theory and statistics, the Cramér–Rao bound relates to estimation of a deterministic parameter. The result is named in honor of Harald Cramér and Calyampudi Radhakrishna Rao, but has als
Fisher information
…of a sample of size n from a population is equal to the product of n and the Fisher Information of a single observation from the same population. The Cramér–Rao bound states that the inverse of the Fisher information is a lower bound on the variance of any unbiased estimator of θ. Van Trees (1968) and Frieden (2004…
Illustration of the Cramér–Rao bound: there is no unbiased estimator which is able to estimate the (2-dimensional) parameter with less variance than t
Illustration of the Cramér–Rao bound: there is no unbiased estimator which is able to estimate the (2-dimensional) parameter with less variance than the Cramér–Rao bound, illustrated as standard deviation ellipse.