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Extra info for Applied Functional Data Analysis (Springer Series in Statistics)
First, it is in the spirit of functional data analysis that we wish to specify the whole function, not just its value at a ﬁnite number of points. Second, it is important to have a method that can generalize to the case where the evaluation points are not the same for every individual in the sample. Third, we will often wish to be able to evaluate the derivatives of a functional datum or other function we are considering. A good way of storing functional observations is in terms of a suitable basis.
The spring and fall cycles were all but wiped out in 1938. 2. In times of war people don’t take holidays, make do with what they have, and spend less at Christmas. Moreover, war production did not exhibit much seasonal variation since the demand for nondurable goods, like the war itself, was steady through the year. 8. 4. 6. Phase-plane plots for the years 1929 to 1931, during the onset of the Great Depression. 5. 50 3. 7. Phase-plane plots for two years preceding the Second World War and a typical war year.
2) 24 2. Life Course Data in Criminology The aim of simple PCA is to ﬁnd the weight function ξ1 (t) that maximizes the variance of the principal component scores zi subject to the constraint ξ(t)2 dt = 1. 3) Without a constraint of this kind, we could make the variance as large as we liked simply by multiplying ξ by a large quantity. The second-, third-, and higher-order principal components are deﬁned in the same way, but with additional constraints. 3) and the additional constraint ξ2 (t)ξ1 (t)dt = 0.