grandes-ecoles 2019 Q38

grandes-ecoles · France · centrale-maths1__psi Discrete Probability Distributions Deriving or Identifying a Probability Distribution from a Random Process

In Friedman's urn model ($a_{0} = 1, b_{0} = 0, a = d = 0, b = c = 1$), an algorithm constructs a permutation of $S_{n}$ from an outcome of $n$ draws. Using question 33, compare, for any outcome, the number of white balls in the final composition of the urn with the number of ascents of the permutation associated with it by the algorithm above.

In Friedman's urn model ($a_{0} = 1, b_{0} = 0, a = d = 0, b = c = 1$), an algorithm constructs a permutation of $S_{n}$ from an outcome of $n$ draws. Using question 33, compare, for any outcome, the number of white balls in the final composition of the urn with the number of ascents of the permutation associated with it by the algorithm above.

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