@article{banks_davis_ernstberger_hu_artimovich_dhar_2009, title={Experimental design and estimation of growth rate distributions in size-structured shrimp populations}, volume={25}, number={9}, journal={Inverse Problems}, author={Banks, H. T. and Davis, J. L. and Ernstberger, S. L. and Hu, S. H. and Artimovich, E. and Dhar, A. K.}, year={2009} }
 @article{banks_davis_2008, title={QUANTIFYING UNCERTAINTY IN THE ESTIMATION OF PROBABILITY DISTRIBUTIONS}, volume={5}, ISSN={["1551-0018"]}, DOI={10.3934/mbe.2008.5.647}, abstractNote={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.}, number={4}, journal={MATHEMATICAL BIOSCIENCES AND ENGINEERING}, author={Banks, H. T. and Davis, Jimena L.}, year={2008}, month={Oct}, pages={647–667} }
 @article{calkin_davis_james_perez_swannack_2007, title={Computing the integer partition function}, volume={76}, ISSN={["1088-6842"]}, DOI={10.1090/S0025-5718-07-01966-7}, abstractNote={In this paper we discuss efficient algorithms for com- puting the values of the partition function and implement these algorithms in order to conduct a numerical study of some conjec- tures related to the partition function. We present the distribution of p(N) for N ≤ 10 9 for primes up to 103 and small powers of 2 and 3.}, number={259}, journal={MATHEMATICS OF COMPUTATION}, author={Calkin, Neil and Davis, Jimena and James, Kevin and Perez, Elizabeth and Swannack, Charles}, year={2007}, pages={1619–1638} }
 @article{banks_davis_2007, title={A comparison of approximation methods for the estimation of probability distributions on parameters}, volume={57}, ISSN={["1873-5460"]}, DOI={10.1016/j.apnum.2006.07.016}, abstractNote={In this paper, we compare two computationally efficient approximation methods for the estimation of growth rate distributions in size-structured population models. After summarizing the underlying theoretical framework, we present several numerical examples as validation of the theory. Furthermore, we compare the results from a spline based approximation method and a delta function based approximation method for the inverse problem involving the estimation of the distributions of growth rates in size-structured mosquitofish populations. Convergence as well as sensitivity of the estimates with respect to noise in the data are discussed for both approximation methods.}, number={5-7}, journal={APPLIED NUMERICAL MATHEMATICS}, author={Banks, H. T. and Davis, Jimena L.}, year={2007}, pages={753–777} }