Quantifying uncertainty in the estimation of probability distributions

H.T. Banks; Jimena L. Davis

doi:10.3934/mbe.2008.5.647

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2008, Volume 5, Issue 4: 647-667. Doi: 10.3934/mbe.2008.5.647

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Quantifying uncertainty in the estimation of probability distributions

H.T. Banks^1, and
Jimena L. Davis^1,

1.
Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8205

Received: November 30, 2007

Revised: February 29, 2008

Published: September 2008

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Abstract

We consider ordinary least squares parameter estimation problems where the unknown parameters to be estimated are probability distributions. A computational framework for quantification of uncertainty (e.g., standard errors) associated with the estimated parameters is given and sample numerical findings are presented.

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Mathematics Subject Classification: 35L60,62E20,62F25,62G15,65M32,92D25.

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