In mathematical statistics, the Fisher information is a way of measuring the amount of information that an observable random variable X carries about an...

In information geometry, the Fisher information metric is a particular Riemannian metric which can be defined on a smooth statistical manifold, i.e., a...

The quantum Fisher information is a central quantity in quantum metrology and is the quantum analogue of the classical Fisher information. It is one of...

reflecting greater uncertainty as success becomes rarer. Fisher information measures the amount of information that an observable random variable X {\displaystyle...

In information theory, the principle of minimum Fisher information (MFI) is a variational principle which, when applied with the proper constraints needed...

In statistics, the observed information, or observed Fisher information, is the negative of the second derivative (the Hessian matrix) of the "log-likelihood"...

{\displaystyle p=1} , where one outcome is certain. Fisher information measures the amount of information that an observable random variable X {\displaystyle...

quadratic terms. The word information, in the context of Fisher information, refers to information about the parameters. Information such as: estimation, sufficiency...

gives a metric tensor that equals the Fisher information metric; see § Fisher information metric. Fisher information metric on the certain probability distribution...

Sir Ronald Aylmer Fisher FRS (17 February 1890 – 29 July 1962) was a British polymath who was active as a mathematician, statistician, biologist, geneticist...

of Information Review by Luciano Floridi for the Stanford Encyclopedia of Philosophy Principia Cybernetica entry on negentropy Fisher Information, a New...

distributions. Historically, information geometry can be traced back to the work of C. R. Rao, who was the first to treat the Fisher matrix as a Riemannian...

any unbiased estimator is at most the Fisher information; or (equivalently) the reciprocal of the Fisher information is a lower bound on its variance. An...

depends on the expected value of the Fisher information matrix, which is provided by a theorem proven by Fisher. Wilks continued to improve on the generality...

Q [ ϱ , B ] {\displaystyle F_{Q}[\varrho ,B]} denotes the quantum Fisher information and the density matrix is decomposed to pure states as ϱ = ∑ k p k...

function serves as a point estimate for the unknown parameter, while the Fisher information (often approximated by the likelihood's Hessian matrix at the maximum)...

operators defining quantum states. It is a quantum generalization of the Fisher information metric, and is identical to the Fubini–Study metric when restricted...

In statistical classification, the Fisher kernel, named after Ronald Fisher, is a function that measures the similarity of two objects on the basis of...

inequality Fisher information Graph entropy Hamming distance History of entropy History of information theory Information fluctuation complexity Information geometry...

function is proportional to the square root of the determinant of the Fisher information matrix: p ( θ ) ∝ | I ( θ ) | 1 / 2 . {\displaystyle p\left(\theta...

Carrie Frances Fisher (October 21, 1956 – December 27, 2016) was an American actress and writer. She played Princess Leia in the original Star Wars films...

Roger (2010). "Efficient Monte Carlo computation of Fisher information matrix using prior information". Computational Statistics & Data Analysis. 54 (2):...

)={\frac {\partial \log L(\theta \mid x)}{\partial \theta }}.} The Fisher information is I ( θ ) = − E ⁡ [ ∂ 2 ∂ θ 2 log ⁡ f ( X ; θ ) | θ ] , {\displaystyle...

Estimation theory Fisher information Information algebra Information asymmetry Information field theory Information geometry Information theory and measure...

business, or government entity Fisher information, in statistics Help desk, an information service point Information wants to be free, an expression...

sufficient for θ {\displaystyle \theta } (since its Fisher information is 1, whereas the Fisher information of the complete statistic X ¯ {\displaystyle {\overline...

Statistical manifolds provide a setting for the field of information geometry. The Fisher information metric provides a metric on these manifolds. Following...

related to the quantum JS divergence; it is the quantum analog of the Fisher information metric. The centroid C* of a finite set of probability distributions...

}}/(2m{\sqrt {\rho }})} is proportional to the probability density's Fisher information about the observable x ^ {\displaystyle {\hat {x}}} I = ∫ ρ ⋅ ( ∇...

{\displaystyle t} is normal with a variance equal to the reciprocal of the Fisher information at the 'true' value of x {\displaystyle x} . The entropy of a normal...