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I know that there are several types of kernel density functions, such as uniform, cosine, Gaussian, etc. I was just wondering which one the "Kernel Density" functionality in ArcMap 10's Spatial Analyst uses?

Thanks!

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I reverse-engineered this many years ago (in Spatial Analyst 1.0); a detailed, illustrated explanation is at quantdec.com/SYSEN597/GTKAV/section9/density.htm. Presumably it still applies. –  whuber Aug 28 '12 at 16:06
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up vote 11 down vote accepted

Silverman quadratic "The kernel function is based on the quadratic kernel function described in Silverman (1986, p. 76, equation 4.5)."

http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#/How_Kernel_Density_works/009z00000011000000/

The reference is to this book:

http://books.google.com/books?id=e-xsrjsL7WkC&printsec=frontcover#v=onepage&q&f=false

on page 76, equation 4.5

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