Suppose that we have a realization of a spatial point process consisting of N event locations {s1,... ,sN }. Let Wi denote the distance between the ith event and its nearest-neighboring event. The literature refers to the cumulative distribution function of W (the nearest event–event distance) as the G function. What is the G function under complete spatial randomness; that is, what is Pr[W ≤ w]?

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The answer is that Pr W w 1 e w d where d is the mean nearest event event distance The G function is ... View the full answer