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20182023
most citedEstimation of the Distribution of Random Parameters in Discrete Time Abstract Parabolic Systems with Unbounded Input and Output: Approximation and Convergence

12 citations · 15 across the 4 of their papers we have counts for

collaborators

4 papers

stat.ME2023★ 1 cited

A Nonparametric, Mixed Effect, Maximum Likelihood Estimator for the Distribution of Random Parameters in Discrete-Time Abstract Parabolic Systems with Application to the Transdermal Transport of Alcohol

Lernik Asserian, Susan E. Luczak, I. G. Rosen

The existence and consistency of a maximum likelihood estimator for the joint probability distribution of random parameters in discrete-time abstract parabolic systems are establis…

stat.AP2020

-estimation and deconvolution in a diffusion model with application to biosensor transdermal blood alcohol monitoring

Maria Allayioti, Jay Bartroff, Haoxing Liu +3

We develop -estimation and deconvolution methodology with the goal of making well-founded statistical inference on an individual's blood alcohol level based on noisy measurement…

math.OC2018★ 2 cited

Estimating the Distribution of Random Parameters in a Diffusion Equation Forward Model for a Transdermal Alcohol Biosensor

Melike Sirlanci, Susan E. Luczak, Catharine E. Fairbairn +4

We estimate the distribution of random parameters in a distributed parameter model with unbounded input and output for the transdermal transport of ethanol in humans. The model tak…

math.OC2018★ 12 cited

Estimation of the Distribution of Random Parameters in Discrete Time Abstract Parabolic Systems with Unbounded Input and Output: Approximation and Convergence

Melike Sirlanci, Susan E. Luczak, I. Gary Rosen

A finite dimensional abstract approximation and convergence theory is developed for estimation of the distribution of random parameters in infinite dimensional discrete time linear…