Timeline for Spatial Point Process: Does an inhomogeneous first order intensity function affect the second order dependence?
Current License: CC BY-SA 4.0
4 events
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| Jun 4, 2019 at 11:41 | comment | added | Ege Rubak | It is hard to say anything in general about overfitting. To consider second order statistics such as the pair correlation function in presence of first order inhomogeneity is indeed possible. You need extra assumptions such as a form of pseudo-stationarity (second order intensity reweighted stationarity). There are details in (the free sample) Chapter 7 (specifically Section 7.10) of the spatstat book Disclaimer: I'm a co-author, so I'm biased in using this as a reference -- there are tons of other references. | |
| Jun 4, 2019 at 8:16 | vote | accept | NamelessGods | ||
| Jun 4, 2019 at 19:50 | |||||
| Jun 4, 2019 at 7:30 | comment | added | NamelessGods | Thanks a lot for the reply. If this is the case, is there a way to obtain a second order dependence statistics, e.g. Pair correlation function, after excluding the effect of the first order inhomogeneity (assuming I have use some model to describe the first order intensity) ? Furthermore, is there a general way to tell if the modelling of first order intensity function is an overfit? | |
| Jun 4, 2019 at 7:17 | history | answered | Ege Rubak | CC BY-SA 4.0 |