[R] Help to do this exercise

Rui Barradas ru|pb@rr@d@@ @end|ng |rom @@po@pt
Mon Feb 10 16:23:08 CET 2020


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Rui Barradas

Às 10:50 de 09/02/20, hương phạm escreveu:
> N1 Consider the database "LakeHuron" , containing the annual measurements
> of the level (in feet) of Lake Huron 1875{1972, see
> https://stat.ethz.ch/R-manual/Rdevel/library/datasets/html/LakeHuron.html.
> The general aim is to estimate the probability density of the level of the
> lake.
> (i) Construct the histogram estimator with the number of bins selected
> by the Sturges rule. On the same plot display the graph of the density of
> the normal distribution with estimated mean and standard
> deviation (normal fit).
> (ii) Among the histograms with the number of bins from 5 to 30, find
> the histogram estimator which is closest to the normal fit. Comment on the
> bias-variance tradeoff in this case.
> (iii) Construct the kernel estimators with various kernels (apply all
> kernels available in the R language). The bandwidth can be chosen by
> default. Construct the kernel estimators under various choices of
> bandwidth (apply all rules for bandwidth selection, which are implemented
> in the R language, the kernel can be chosen by default).
> Among all constructed kernel estimators, find the kernel estimator
> which is closest to the normal fit
> 	[[alternative HTML version deleted]]
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