Titlebook: Smoothing Spline ANOVA Models; Chong Gu Book 20021st edition Springer Science+Business Media New York 2002 ANOVA.ANOVA models.Likelihood.S

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Springer Series in Statisticshttp://image.papertrans.cn/s/image/869162.jpg

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https://doi.org/10.1007/978-1-4757-3683-0ANOVA; ANOVA models; Likelihood; Spline smoothing; data analysis; nonparametric smoothing; smoothing metho

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Regression with Gaussian-Type Responses,For regression with Gaussian responses, .( . ) + (λ/2).( . ) reduces to the familiar penalized least squares functional. Among topics of primary interest are the selection of smoothing parameters, the computation of the estimates, the asymptotic convergence of the estimates, and various data analytical tools.

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Hazard Rate Estimation,For right-censored lifetime data with possible left-truncation, (1.6) of Example 1.3 defines penalized likelihood hazard estimation. Of interest are the selection of smoothing parameters, the computation of the estimates, and the asymptotic behavior of the estimates.

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Asymptotic Convergence,In this chapter, we develop an asymptotic theory concerning the rates of convergence of penalized likelihood estimates to the target functions as the sample size goes to infinity. The rates are calculated in terms of problem-specific loss functions derived from the respective stochastic settings.

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Chong GuSmoothing is an active area of research.Most of the computational and data analytiv tools discussed in the book are implemented in R, an open-source clone of the popular S/S-PLUS language.Book can be

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Smoothing Spline ANOVA Models978-1-4757-3683-0Series ISSN 0172-7397 Series E-ISSN 2197-568X

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