Model validation for a noninvasive arterial stenosis detection problem by H. Thomas Banks, Shuhua Hu, Zackary R. Kenz, Carola Kruse, Simon Shaw, John Whiteman, Mark P. Brewin, Stephen E. Greenwald, Malcolm J. Birch

Subjects: “…asymptotic theory.…”
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A Speech Recognition Method Using Competitive and Selective Learning Neural Networks by Hu Guangrui Xu Xiong Yan Yonghong

“…In this paper,a basic principle called the equidistortion principle for vector clustering is theoretically derived by using Gersho’s asymptotic theory,and a new competitive learning algorithm is prorosed with a selection mechanism,called the CLS（Competitive and Selective Learning）algorithm.Because the selection mechanism enables the system to escape from local minima,the proposed algorithm can obtain better performance without a particular initialization procedure.A new neural network algorithm with competitive learning and multiple safe rejection schemes are proposed in the context of parallel,self organizing,hierarchical neural networks（PSHNN）.The input of PSHNN is a subset of the output scores of HMM.The experimental results indicate that the recognition ability of the method based on competitive learning neural network is higher than that of the traditional HMM method.…”
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Single index regression for locally stationary functional time series by Breix Michael Agua, Salim Bouzebda

“…In this research, we formulated an asymptotic theory for single index regression applied to locally stationary functional time series. …”
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Higher-Order Expansions for Estimators in the Presence of Nuisance Parameters by Paul Rilstone

“…The results in the paper accomplish three objectives: (i) provide simpler methods for deriving higher-order moments when nuisance parameters are present; (ii) indicate more explicitly the sources of deviations of estimators’ sampling distributions from that given by standard first-order asymptotic theory; and, in turn, (iii) indicate in which situations the corrections (either analytically or by a resampling method such as bootstrap or jackknife) should be made when making inferences. …”
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Uncertainty quantification in modeling HIV viral mechanics by H. T. Banks, Robert Baraldi, Karissa Cross, Kevin Flores, Christina McChesney, Laura Poag, Emma Thorpe

“…Bootstrapping and asymptotic theory are compared in the context of confidence intervals for the resulting parameter estimates.…”
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Modeling of spatial extremes in environmental data science: time to move away from max-stable processes by Raphaël Huser, Thomas Opitz, Jennifer L. Wadsworth

“…However, while the asymptotic theory supporting the use of max-stable processes is mathematically rigorous and comprehensive, we think that it has also been overused, if not misused, in environmental applications, to the detriment of more purposeful and meticulously validated models. …”
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