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The cross validation mean square error technique is used to determine the correct degree of smoothing, in fitting smoothing solines to discrete, noisy observations from some unknown smooth function. Monte Cario results snow amazing success in estimating the true smooth function as well as its derivative.
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Wahba et al. (Wed,) studied this question.
synapsesocial.com/papers/6a0ec48a218372ada647b667 — DOI: https://doi.org/10.1080/03610927508827223
Grace Wahba
University of Wisconsin–Madison
Svante Wold
Umeå University
Communications in Statistics
University of Wisconsin–Madison
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