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Feb 9, 2020 at 21:05 comment added Ege Rubak If you do simulation envelopes as suggested no ratios are involved. I think estimated ratios of pcfs are bound to be numerically very unstable (in particular at short ranges), so I would be hesitant to rely on these.
Feb 9, 2020 at 0:37 comment added NamelessGods My thought is that the ratio between the pcf of data and model is a new ''pcf'' taking the model as a reference where the standard pcf is taking Poisson process as base reference. I just want to make sure my understanding is correct regarding this.
Feb 9, 2020 at 0:29 comment added NamelessGods Thanks for the reply. That is what I plan to do, although my apology for not emphasize on generating several simulation based on fitted model. However, I do have some question on interpreting the differences. For example, if I take the ratio between the pair correlation function of data and model, and I find that the ratio is say 1.3 at $r = 0.5$ distance, does this have the interpretation that the data is 1.3 times more likely in terms of probability to have two points at $r = 0.5$ distance compared to the model? Thanks again!
Feb 8, 2020 at 22:34 history answered Ege Rubak CC BY-SA 4.0