This booklet might be thought of a better half to 2 different hugely acclaimed books related to James Ramsay and Bernard Silverman: sensible info research, moment version (2005) and utilized sensible info research (2002). This user's guide additionally offers the documentation for the S+FDA library for SPlus.
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Extra info for S+Functional Data Analysis: User's Manual for Windows ®
Notice that the function names from argument fNames in the constructor are used for labeling the plot. Constructing from coefficients and a basis You may construct an S+FDA object of class fFunction from an object of class fBasis, together with a vector of coefficients E j . This method of construction is primarily used internally, but users may also have occasion to use it, for example, in simulation. Here we simulate a functional data object with noise added to the coefficients of onePinch: > coef <- getCoef(onePinch) > coef <- coef + rnorm(length(coef)) # add noise > onePinch2 <- fFunction(coef, basis, fNames=list(time="ms", pinch="1", force="Newtons(Normalized)")) The function getCoef is used to access the coefficients in onePinch.
Univariate Bivariate 24 24 24 Basis Objects Univariate Bivariate 25 25 25 Choosing a Univariate Basis SelectBasis Function Properties 26 26 26 Choosing a Bivariate Basis 28 Creating Univariate Bases constantBasis bsplineBasis FourierBasis polynomialBasis polygonalBasis exponentialBasis compositeBasis 29 29 30 31 33 34 35 36 Creating Bivariate Bases Separable Bases Finite Element Bases 39 39 39 Operations on Univariate Bases Derivatives Integrals Inner Products 41 41 42 43 Operations on Bivariate Bases Derivatives 44 44 23 Chapter 2 Basis Objects and Operations WHAT IS A BASIS?
5: Polygonal basis functions on the domain (0, 10). exponentialBasis Objects of class exponentialBasis consist of terms of the form exp k i t where the k i are user-specified rate constants. As with polynomial bases away from their center, exponential bases do not adapt well away from the origin. For this reason, exponential bases should only be chosen in special circumstances. 6: Exponential basis functions on the domain (0,10). compositeBasis Objects of class compositeBasis represent bases whose terms are selected from one or more fundamental bases.
S+Functional Data Analysis: User's Manual for Windows ® by Clarkson