Near Real-Time Quantification of Stochastic Model Parameters

Award Information
Agency:
Department of Defense
Amount:
$150,000.00
Program:
STTR
Contract:
W911NF-13-P-0017
Solitcitation Year:
2013
Solicitation Number:
2013.A
Branch:
Army
Award Year:
2013
Phase:
Phase I
Agency Tracking Number:
A13A-009-0030
Solicitation Topic Code:
A13A-T009
Small Business Information
Applied Mathematics, Inc.
1622 Route 12, Box 637, Gales Ferry, CT, -
Hubzone Owned:
N
Woman Owned:
N
Socially and Economically Disadvantaged:
N
Duns:
039280334
Principal Investigator
 William Browning
 President
 (860) 464-7259
 wjbrowning@applmath.com
Business Contact
 William Browning
Title: President
Phone: (860) 464-7259
Email: wjbrowning@applmath.com
Research Institution
 North Carolina State University
 Matthew Ronning
 Research Administration/SPARCS
Admin Services III, Box 7514
Raleigh, NC, 27695-7514
 (919) 515-2444
 Nonprofit college or university
Abstract
Mathematical models of physical and biological systems contain parameters that need to be estimated from measured data. Models with parameters distributed probabilistically require the estimates of a probability measure over the set of admissible parameters. We propose to use frequentist-based approaches for non-parametrically estimating probability measures that describe the distribution of parameters across all members of a given population in the case where only aggregate longitudinal data are available. We will investigate least squares method combined with delta function approximation methods or linear spline approximation methods or other plausible approximation methods in order to achieve the convergence required for near real-time estimation. Project tasks are to survey existing techniques and select non-Bayesian candidate methods for near-real-time estimation of probabilistic parameters; develop theoretical and computational ideas to validate capability for describing near-real-time parameters; develop general methodology for near-real-time quantification of stochastic model parameters; analyze proposed methodology to include bias and convergence properties of estimators; conduct proof-of-concept 3D computations of the proposed methodology; and prepare final report and periodic progress reports.

* information listed above is at the time of submission.

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