Search results
Results from the WOW.Com Content Network
The Fisher information matrix plays a role in an inequality like the isoperimetric inequality. [29] Of all probability distributions with a given entropy, the one whose Fisher information matrix has the smallest trace is the Gaussian distribution. This is like how, of all bounded sets with a given volume, the sphere has the smallest surface area.
In information geometry, the Fisher information metric [1] is a particular Riemannian metric which can be defined on a smooth statistical manifold, i.e., a smooth manifold whose points are probability distributions. It can be used to calculate the distance between probability distributions. [2] The metric is interesting in several aspects.
The formula also holds without taking the real part ... Quantum Fisher information matrix is a part of a wider family of quantum statistical distances. [12]
In econometrics, the information matrix test is used to determine whether a regression model is misspecified.The test was developed by Halbert White, [1] who observed that in a correctly specified model and under standard regularity assumptions, the Fisher information matrix can be expressed in either of two ways: as the outer product of the gradient, or as a function of the Hessian matrix of ...
In statistics, the observed information, or observed Fisher information, is the negative of the second derivative (the Hessian matrix) of the "log-likelihood" (the logarithm of the likelihood function). It is a sample-based version of the Fisher information.
In maximum likelihood estimation, the argument that maximizes the likelihood 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) gives an indication of the estimate's precision.
The Fisher information matrix for a normal distribution w.r.t. and is diagonal and takes the form (,) = () The conjugate prior of the mean of a normal distribution is another normal distribution. [ 37 ]
Design matrix; Design of experiments. The Design of Experiments (book by Fisher) Detailed balance; Detection theory; Determining the number of clusters in a data set; Detrended correspondence analysis; Detrended fluctuation analysis; Deviance (statistics) Deviance information criterion; Deviation (statistics) Deviation analysis (disambiguation)