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Activity Number: 628 - Statistical Applications in the Physical Sciences
Type: Contributed
Date/Time: Thursday, August 3, 2017 : 8:30 AM to 10:20 AM
Sponsor: Section on Physical and Engineering Sciences
Abstract #322818 View Presentation
Title: Neutron Multiplicity: LANL W Covariance Matrix for Curve Fitting
Author(s): James Wendelberger*
Companies: Los Alamos National Laboratory and University of New Mexico
Keywords: Neutron ; Multiplicity Counting ; Tri-diagonal ; Uncertainty ; Lehmer matrix ; Covariance Matrix
Abstract:

In neutron multiplicity counting one may fit a curve by minimizing an objective function, Chi-Square-n. The objective function includes the inverse of an n by n matrix of covariances, W. The inverse of the W matrix, W-inverse, has a closed form solution. In addition W-inverse is a tri-diagonal matrix. The closed form and tri-diagonal nature of W-inverse allows for a simpler expression of the objective function, Chi-Square-n. Minimization of this simpler expression will provide the optimal parameters for the fitted curve.


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