Dec-04-2019, 11:51 PM
(This post was last modified: Dec-04-2019, 11:53 PM by scidam. Edited 2 times in total.

*Edit Reason: clarifications added*)
There is no simple representation of such formula. You are likely looking for a simple one. You can find explanation about kde-estimations at Wikipedia. So, kde-estimation is a function defined as a sequence of calculations (these calculations are hard to perform manually, but easy to do with help of the computer), it is a computational procedure.

If you want to get a "convenient" formula as an estimation of pdf, you can look at parametric probability density estimations, e.g. fit a normal distribution, or fit a mixture of normal distributions (using mixture of known distributions might be very flexible, if you want to handle non-normally distributed data).

If you want to get a "convenient" formula as an estimation of pdf, you can look at parametric probability density estimations, e.g. fit a normal distribution, or fit a mixture of normal distributions (using mixture of known distributions might be very flexible, if you want to handle non-normally distributed data).