Attached is a movie (sorry about the ancient mpg format, but lots of viewers can still show it), with frames indexed by bandwidth, of Gaussian kernel density estimates of the Hidalgo Stamp data. These data are very well known in the bumphunting literature, and you can find published analyses with wildly different conclusions about the number of bumps, ranging from 2 to 10. Just look all the way through the movie, and you can see how each of those conclusions makes sense at some level. It is a great example of why the scale space view of bandwidth selection makes a lot of sense.
Best,
Steve
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Steve Marron
Univ. of North Carolina At Chapel Hill