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We study the extension of canonical correlation from pairs of random vectors to the case where a data sample consists of pairs of square integrable stochastic processes. Basic questions concerning the definition and existence of functional canonical correlation are addressed and sufficient criteria for the existence of functional canonical correlation are… (More)

We consider estimates for functional canonical correlations and canonical weight functions. Four computational methods for the estimation of functional canonical correlation and canonical weight functions are proposed and compared, including one which is a slight variation of the spline method proposed by Leurgans, Moyeed and Silverman (1993). We propose… (More)

INTRODUCTION
Self-reported prediabetes and diabetes rates underestimate true prevalence, but mass laboratory screening is generally impractical for risk assessment and surveillance. We developed the Abnormal Glucose Risk Assessment-6 (AGRA-6) tool to address this problem.
METHODS
Self-report data were obtained from the 1,887 adults (18 years or older) in… (More)

We study regression models for the situation where both dependent and independent variables are square integrable stochastic processes. Questions concerning definition and existence of the corresponding functional linear regression models and some basic properties are explored for this situation. We derive a representation of the regression parameter… (More)

This extensive theoretical study employed the spin-flip density functional theory (SFDFT) method to investigate the photoisomerization of 11-cis-retinal protonated Schiff base (PSB11) and its minimal model tZt-penta-3,5-dieniminium cation (PSB3). Our calculated results indicate that SFDFT can perform very well in describing the ground- and excited-state… (More)

We study regression models for the situation where both dependent and independent variables are square integrable stochastic processes. Questions concerning definition and existence of the corresponding functional linear regression models and some basic properties are explored. We derive a representation of the regression parameter function in terms of the… (More)

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