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An Interpretation of the Moore-Penrose Generalized Inverse of a Singular Fisher Information Matrix
Cramer-Rao bound constrained parameters singular Fisher information matrix
2011/9/1
Abstract: An interpretation of the Moore-Penrose generalized inverse of a singular Fisher information matrix (FIM) is presented in this paper, from the perspective of Cramer-Rao bound (CRB). CRB is a ...
Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
Generalized Inverse Participation Ratio Interacting Systems
2010/11/17
We test the usefulness of a generalized inverse participation ratio (GIPR) as a measure of Anderson localization. The GIPR differs from the usual inverse participation ratio in that it depends on the ...
The Generalized Inverse of a Nonlinear Quasigeostrophic Ocean Circulation Model
Nonlinear Quasigeostrophic Ocean Circulation Model Generalized Inverse
2008/12/22
The generalized inverse is constructed for a nonlinear, single-layer quasigeostrophic model, together with initial conditions and a finite number of interior data. With the exception of doubly Periodi...
The Factor Decomposition Theorem of Bounded Generalized Inverse Modules and Their Topological Continuity
factor decomposition generalized inverse module map
2007/12/10
In this paper we obtain a Douglas type factor decomposition theorem about certain important bounded module maps. Thus, we come to the discussion of the topological continuity of $bounded \;generalized...
Generalized Inverse Estimator and comparison with Least Squares Estimator
Inverse Estimator Least Squares Estimator
2010/3/4
Trenkler [13] described an iteration estimator. This estimator is defined as follows: for 0 < g < 1/li \max \[ \hat{b}m, g = g \summi=0 (1-g X'X)i X'y , \] where li are eigenvalues of X'X. In this pap...