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Tagged with sorting probability-distributions
4
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Sort a group of distributions
Given a group of $n$ probability distributions, $P_1, P_2, \ldots, P_n$,
we sample an outcome for each of the distributions $X_i \sim P_i, \forall i \in [n]$, and we want to compute the probability of ...
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Balanced splits in Randomized Quicksort
I am reading about usage of Chernoff bounds for bounding number of comparisons in a randomized Quicksort from here.
What is proved is that ($n$ is number of elements in the array)
$$\Pr[\text{Number ...
- 2,079
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does it make sense to ask the expected value for discrete values in non-enumerable sets?
I want to know, is this question well formulated? If so, what is the answer?
"Let randomly choose n numbers in a range [0,1], what is the expected value of the smallest number? if distribution ...
user429835
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Distribution probability of elements and pair-wise differences in a sorted list
Suppose a set of $m$ integers from $0$ to $n-1$. The integers are uniformly distributed and unique in the set ($n \gg m$). Then, put all the integers into a list an sort that list:
$$x_0 < x_1 < ...
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