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Results tagged with pr.probability
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user 102783
Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
7
votes
1
answer
264
views
Is there a proof that the Law of Large Numbers is the limit (numerical) for estimation of ex...
For the sake of this question I want to focus on an unfair coin.
Assuming we have a number of $i.i.d.$ samples $X_1, ..., X_n$ and a precision level requirement $\tau$. I search for the optimal estima …
- 103
2
votes
0
answers
73
views
Best estimator for a 3 coin problem
Let $X,Y,Z$ be three unfair coins. We consider the coin $\Gamma=XI(Z=1)+YI(Z=0).$ We are given the sample $S=\{(\Gamma_i,Z_i)| i \leq n \}$ Let $k=\sum_{i \leq n}I(Z_i=1)$. For every pair of $(\Gamma_ …
- 103