3 ms·
The problem with that is that the locations of the sites are probably very correlated, meaning that your samples will no longer be independent, and your estimat
by phreeza 10y ago
The problem with that is that the locations of the sites are probably very correlated, meaning that your samples will no longer be independent, and your estimate would probably be biased.
- oli5679 10y agoIf the sampling process gives you a random subset of tiles, I don't see how the estimate could be biased. Even if you have a strange distribution of circles (heavily clustered in certain geographies), the weak law of large numbers would mean that the sample mean is an unbiased estimator for population mean if your sampling process is iid (random number generation is by definition iid). https://en.wikipedia.org/wiki/Law_of_large_numbers https://en.wikipedia.org/wiki/Law_of_large_numbers I think you're confused between which restrictions apply to the sampling process versus the underlying population.
- phreeza 10y agoUgh, you are of course correct, I should not be allowed to comment on statistics before having my first coffee. I think I had some diffuse ideas about this not being a poisson processes in my head that lead me to this faulty conclusion.