Read e-book online Applied functional data analysis : methods and case studies PDF
By J.O. Ramsay
Useful facts research is a brand new quarter of statistical learn, and the 2 authors of this name current the 1st number of tools in book-form. a lot of the paintings is unique to the authors. entrance topic; creation; lifestyles path information in Criminology; The Nondurable items Index; Bone Shapes from a Paleopathology examine; Modeling Reaction-Time Distributions; Zooming in on Human progress; Time Warping Handwriting and climate files; How Do Bone Shapes point out Arthritis?; useful versions for try goods; Predicting Lip Acceleration from Electromyography; The Dynamics of Handwriting revealed Characters; A Differential Equation for Juggling; again subject
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Extra resources for Applied functional data analysis : methods and case studies
In economics, potential energy corresponds to available capital, human resources, raw material, and other resources that are at hand to bring about some economic activity, in this case the manufacture of nondurable goods. Kinetic energy corresponds to the manufacturing process in full swing, when these resources are moving along the assembly line, and the goods are being shipped out the factory door. The process moves from strong kinetic to strong potential energy when the rate of change in production goes to zero.
There is no real evidence of strong grouping within the original data. At this point, we have ﬁnished the speciﬁc task of analyzing the criminology data, but our discussion has raised two particular matters that are worth exploring in more detail. A general matter is the way that functional observations are stored and processed. A more speciﬁc issue is the crossvalidation approach to the choice of smoothing parameter when estimating the mean. 2 onwards. 5 How are functions stored and processed?
We observed, for example, that the curve was too smooth if it underestimated peak values such as that of June year after year, or if it consistently overestimated low values such as July. We also learned a lot by looking at the residuals from the ﬁt, computed by subtracting the ﬁtted from the actual value. If there was some trend running over several months, this was a sign that we had oversmoothed the data. At this stage, one may say, it is rather easier to detect oversmoothing than undersmoothing.
Applied functional data analysis : methods and case studies by J.O. Ramsay