[R-sig-Geo] Anisotropic point processes are inhomogeneous?

Domenico Giusti dncgst at gnewarchaeology.it
Tue Nov 28 12:06:08 CET 2017


Thank you Ege for your reply,

> In general it seems like a difficult problem to separate inhomogeneity and anisotropy from each other

this point is indeed not very clear to me.

If the homogeneous Poisson point process is defined by the properties of 
i) homogeneity, ii) independence and iii) Poisson distribution; the 
inhomogeneous Poisson process is a modification of the former with i) 
intensity function, ii) independence and iii) Poisson distribution.

An anisotropic point process, defined as directional dependent process, 
could be seen as inhomogeneous process having an oriented intensity 
function, or violates the assumption of independence in both homogeneous 
and inhomogeneous processes?

Similarly, is anisotropy violating the assumptions of independent 
labels/components in inhomogeneous multitype point processes?

Thanks,

On 11/21/2017 10:41 PM, Ege Rubak wrote:
> stationarity of your process I would think that the results from 
> something like Ksector can be misleading.



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