Conjecture on fluctuation regimes for the proportion of heads
Fluctuation-regime conjecture. (i) If E(N,2)=O(1/N)E(N,2)=\mathcal{O}(1/N)E(N,2)=O(1/N) as N→∞N\to\inftyN→∞, then the proportion of heads obeys a central limit theorem. (ii) If E(N,2)=O(1/N)E(N,2)=\mathcal{O}(1/N)E(N,2)=O(1/N) fails…
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