THE PROHOROV METRIC FRAMEWORK AND AGGREGATE DATA INVERSE PROBLEMS FOR RANDOM PDEs

Overview

Journal Commun Appl Anal

Date 2022 Aug 12

PMID 35958041

Authors

H T Banks

K B Flores

I G Rosen

E M Rutter

Melike Sirlanci

W Clayton Thompson

Affiliations

Soon will be listed here.

Abstract

We consider nonparametric estimation of probability measures for parameters in problems where only aggregate (population level) data are available. We summarize an existing computational method for the estimation problem which has been developed over the past several decades [24, 5, 12, 28, 16]. Theoretical results are presented which establish the existence and consistency of very general (ordinary, generalized and other) least squares estimates and estimators for the measure estimation problem with specific application to random PDEs.

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