Search results for " penalized splines"

showing 3 items of 3 documents

Growth curves of sorghum roots via quantile regression with P-splines

2014

Plant roots are a major pool of total carbon in the planet and their dynamics are directly relevant to greenhouse gas balance. Composted wastes are increasingly used in agriculture for environmental and economic reasons and their role as a substitute for traditional fertilizers needs to be tested on all plant components. Here we propose a regression quantile approach based on P-splines to assess, quantify and compare the root growth patterns in two treatment groups respectively undergoing compost and traditional fertilization.

growth curves quantile regression penalized splines noncrossing curves
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Functional principal component analysis of quantile curves

2017

Literature on functional data analysis is mainly focused on estimation of individuals curves and characterization of average dynamics. The idea underlying this proposal is to focus attention on other particular features of the distribution of the observed data, moving from mean functions towards functional quantiles. The motivating examples are functional data sets that are collections of high frequency data recorded along time. As quantiles provide information on various aspects of a time series, we propose a modelling framework for the joint estimation of functional quantiles, varying along time, and functional principal components, summarizing some common dynamics shared by the functiona…

functional data nonparametric quantile regression penalized splines functional principal componentsSettore SECS-S/01 - Statistica
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Estimating growth charts via nonparametric quantile regression: a practical framework with application in ecology.

2013

We discuss a practical and effective framework to estimate reference growth charts via regression quantiles. Inequality constraints are used to ensure both monotonicity and non-crossing of the estimated quantile curves and penalized splines are employed to model the nonlinear growth patterns with respect to age. A companion R package is presented and relevant code discussed to favour spreading and application of the proposed methods.

Statistics and ProbabilitySettore BIO/07 - EcologiaStatistics::TheoryEcology (disciplines)Nonparametric statisticsMonotonic functionRegressionStatistics::ComputationQuantile regressionNonlinear systemR packageStatisticsEconometricsStatistics::MethodologyGrowth charts Nonparametric regression quantiles Penalized splines P. oceanica modelling R softwareStatistics Probability and UncertaintySettore SECS-S/01 - StatisticaGeneral Environmental ScienceMathematicsQuantile
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