“Fisher information”的概念、定义、翻译、参考文献-科学参考

Fisher information

Statistics

The amount of information that a sample provides about the value of an unknown parameter. Writing L as the likelihood for n observations from a distribution with parameter θ, Sir Ronald Fisher in 1922 defined the information, I(θ), as being given by $Fisher information$ If T is an unbiased estimator of θ then a lower bound to the variance of T is $Fisher information$ Since 1948 this has generally been referred to as the Cramér–Rao lower bound in recognition of the independent proofs by Cramér and Rao. The inequality Var(T)≥1/I(θ) (where ‘Var’ denotes variance) is the Cramér–Rao inequality.
If the distribution involves several parameters, θ₁, θ₂,⋯, θ_p, then the Fisher information matrix has elements given by $Fisher information$

单词	Fisher information
释义	Fisher information Statistics The amount of information that a sample provides about the value of an unknown parameter. Writing L as the likelihood for n observations from a distribution with parameter θ, Sir Ronald Fisher in 1922 defined the information, I(θ), as being given by $Fisher information$ If T is an unbiased estimator of θ then a lower bound to the variance of T is $Fisher information$ Since 1948 this has generally been referred to as the Cramér–Rao lower bound in recognition of the independent proofs by Cramér and Rao. The inequality Var(T)≥1/I(θ) (where ‘Var’ denotes variance) is the Cramér–Rao inequality. If the distribution involves several parameters, θ₁, θ₂,⋯, θ_p, then the Fisher information matrix has elements given by $Fisher information$
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