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I'm new in the technique of Kernel Estimation, so it could be that the following questions are really elementary. There is something I don't understand about the bandwidths. Using R I have two functions to perform the estimate:

kde2d from MASS

bkde2D from KernelSmooth

Here are my questions

1) I see from the source code of kde2d that it divides the bandwidth provided by the user by 4 and I've seen this practice also somewhere else. Why the bandwidth is divided by 4?

2) kde2d perform uses an axis-aligned bivariate normal distribution, while bkde2D uses a standard bivariate normal distibution. Are they the same?

Thank you

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# Kernel Estimation

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