Sentence examples for inverse information from inspiring English sources

where (hat {mathbf {J}}^{jj}) is the (j,j)- entry of the estimated inverse information matrix (hat {mathbf {J}}^{-1}).

This is a minor issue because the inverse information matrix scales with the volume of the unit cell in agreement with the conclusions of the derivation.

Maximum likelihood estimates (MLEs) for β and their covariance matrix are obtained by maximizing Equation 1 and computing the inverse information matrix using standard methods.

For MI, when is the maximum likelihood estimator (MLE), is the inverse Fisher information, and missing data are sampled from their Bayesian posterior predictive distribution, is asymptotically normally distributed with variance, and is an asymptotically unbiased estimator of and is consistent when M=∞ (Rubin, 1987; Wang and Robins, 1998; Nielsen, 2003).

We use the log determinant of the inverse Fisher information matrix as the design criterion and run simulations to investigate the relationship between the inverse Fisher information matrix and the covariance matrix of the ML estimates.

The topics are concerned with determining the lower bound of the trace of inverse of information matrix.

The overall CRLB is given by the expectation of the inverse Fisher information matrices CRLB ε = E I − 1 3, 3, (27).

The CRLB for positioning is given by the trace of the inverse Fisher information matrix CRLB p = tr I − 1 ( p ) = ∑ i = 1 2 I − 1 ( p ) i, i. (54).

If only a single parameter θ p, 1 ≤ p ≤ P, is considered, the variance of this parameter, which corresponds to the mean squared error (MSE) in case of an unbiased estimator, is greater than or equal to the corresponding diagonal entry of the inverse Fisher information matrix: MSE θ ̂ p = C θ ̂ p, p ≥ I − 1 p, p = CRLB θ p. (22).

Instead, one has to consider the diagonal elements of the inverse Fisher information matrix.

With inverse-quantized information of virtual sound in decoder, virtual sound can be reproduced by general panning techniques such as vector-based amplitude panning (VBAP) [29], or Ambisonics techniques such as higher order Ambisonics (HOA) [30] to get recovered multichannel T/F signals.