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Bias-Variance Tradeoffs in Functional Estimation Problems
The Annals of Statistics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lower bounds for variances of Poisson functionals
Electronic Journal of ProbabilityLower bounds for variances are often needed to derive central limit theorems. In this paper, we establish a lower bound for the variance of Poisson functionals that uses the difference operator of Malliavin calculus. Poisson functionals, i.e. random variables that depend on a Poisson process, are frequently studied in stochastic geometry.
Schulte, Matthias, Trapp, Vanessa
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Functional analysis of variance for parametric functional data
, 2014 A parametric functional analysis of variance (FANOVA) is proposed to measure the functional varia- bility explained by other variables. This technique presents the advantage of using all the information in the curves, instead of some specific values on them.
FORTUNA, FRANCESCA, MATURO, FABRIZIO
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Optimal designs for variance function estimation using sample variances
, 1999 Using sample variances for estimating a variance function is intuitively more appealing than using residuals. Main advantage of sample variances over residuals is that they are robust to misspecification of the mean function. However, due to the replication requirement neither standard response surface designs nor small designs generated by design ...
Goos, Peter +2 more
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Variance Function Partially Linear Single-Index Models1. [PDF]
J R Stat Soc Series B Stat Methodol, 2015 Lian H, Liang H, Carroll RJ.
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Nonparametric Estimation of Variance Function for Functional Data
, 2008 This article investigates nonparametric estimation of variance functions for functional data when the mean function is unknown. We obtain asymptotic results for the kernel estimator based on squared residuals. Similar to the finite dimensional case, our asymptotic result shows the smoothness of the unknown mean function has an effect on the rate of ...
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A variance property for arithmetic functions [PDF]
Pacific Journal of Mathematics, 1976 openaire +2 more sources
Phonetic variability leads to gradient speech perception. [PDF]
J Exp Psychol Hum Percept PerformGür E, McMurray B.
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Reducing weighted ensemble variance with optimal trajectory management. [PDF]
J Chem PhysRyu WH +9 more
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Pareto-Front Optimization of Variance-Added Expected Loss with Interrelated Qualities. [PDF]
Entropy (Basel)Kim S, Lee K.
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