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I'm trying use the Epanechnikov density kernel to smooth out data that I have collected, but I'm not sure exactly how to use it.

I've recorded speed data from a car every second for a journey and I'm trying to smooth the data as it contains some noise.

I have document that explains exactly how to do it, it is available here

Bear in mind the data is recorded every second.

Does mean, at the bottom of the second page, that i = 1?

What does j equal? Is it the length of the entire journey in seconds? Or something else?

On the third page:

When computing the weight associated with the speed at a particular time interval, is it calculated by dividing the Epanechnikov Kernel K(Zij) for the current time interval by the sum of the Epanechnikov Kernel for 3 seconds behind and 3 seconds ahead (7 seconds in total)?

Thank you for your help.

John

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# How to practically use a Kernek density for a smoothing application

Can you offer guidance or do you also need help?

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