what is the statistical basis of creation of clusters what is the statistical basis of the creation of clusters/patterns? what are the patterns appearing in the kernel averaged maps? how to explain certain patterns appearing after kernel averaging how to explain certain patterns appearing after kernel averaging? what are the patterns appearing in the kernel averaged maps? what is the statistical basis of creation of such clusters/patterns? why or why not? how are cluster patterns similar what is the statistical basis of creation of clusters/patterns? why do patterns appear in kernel averaged maps? how to explain certain patterns appearing after kernel averaging kernel average averaging pattern how do you explain patterns in the kernel what are the patterns in the kernel averaged maps. what is the statistical basis of creation of such clusters/patterns? how is the pattern related to the original dispersion model i.e., uniform? what is the statistical basis of creation of clusters/patterns? how is the pattern related to the original dispersion model i.e. uniform? why different patterns are in kernel averaging system what is the statistical basis of creation of clusters/patterns? in the kernel averaged maps how to explain certain patterns appearing after kernel averaging how to explain certain patterns appearing after kernel averaging? what is the statistical base of the cluster pattern how to explain patterns appearing after kernel averaging?