The article Dirichlet process begins " In probability theory, a Dirichlet process over a set S equipped with a suitable sigma-algebra is a stochastic process whose sample path is a probability distribution on S . " I think I sort of understand this, but to be sure, what is a sample path?
32.
It follows from the central limit theorem that quadrupling the number of sample paths approximately halves the error in the simulated price ( i . e . the error has order \ epsilon = \ mathcal { O } \ left ( N ^ {-1 / 2 } \ right ) convergence in the sense of standard deviation of the solution ).
33.
:: : : : : : : : : This seems like a very strange way of counting, though . ( As you note, it counts one round of 100 % accuracy as the same as 1 million rounds of 99 % accuracy . ) I was thinking that the right way to compute the expected proportion was to add up all the heads and then divide by the total number of coin flips, among " all " the sample paths.
