ON SUCCESSIVE SAMPLING AND FIXED INCLUSION
... We remark that π/2 is indeed majorized by p. If instead we use successive sampling with the modified selection probabilities p1 ≈ 0.572, p2 ≈ 0.263, and p3 ≈ 0.165, then the new first order inclusion probabilities are π1 = 89 , π2 = 69 , and π3 = 49 , as desired. The exact values for p1 , p2 ...
... We remark that π/2 is indeed majorized by p. If instead we use successive sampling with the modified selection probabilities p1 ≈ 0.572, p2 ≈ 0.263, and p3 ≈ 0.165, then the new first order inclusion probabilities are π1 = 89 , π2 = 69 , and π3 = 49 , as desired. The exact values for p1 , p2 ...
Gems of Theoretical Computer Science
... of course, which I called Theory lab, as part of the computer science major program. As in an experimental laboratory { with written preparatory materials (including exercises), as well as materials for the actual meeting, in which an isolated research result is represented with its complete proof a ...
... of course, which I called Theory lab, as part of the computer science major program. As in an experimental laboratory { with written preparatory materials (including exercises), as well as materials for the actual meeting, in which an isolated research result is represented with its complete proof a ...
Combinatorial theorems in sparse random sets
... removal lemma can be applied. Unfortunately, in the sparse case, passing from the sparse random set to the corresponding hypergraph gives us a sparse hypergraph with dependencies between its edges, whereas in the sparse hypergraph removal lemma we assume that the edges of the sparse random hypergrap ...
... removal lemma can be applied. Unfortunately, in the sparse case, passing from the sparse random set to the corresponding hypergraph gives us a sparse hypergraph with dependencies between its edges, whereas in the sparse hypergraph removal lemma we assume that the edges of the sparse random hypergrap ...
A Theory of Subjective Compound Lotteries†
... they call temporal lotteries, to study decision-makers who have a preference for when uncertainty resolves. In their theory, temporal lotteries are taken as given and their assumptions yield expected utility preferences over temporal lotteries. We start with purely subjective uncertainty and provide ...
... they call temporal lotteries, to study decision-makers who have a preference for when uncertainty resolves. In their theory, temporal lotteries are taken as given and their assumptions yield expected utility preferences over temporal lotteries. We start with purely subjective uncertainty and provide ...
A Tricentenary history of the Law of Large Numbers
... The first central feature also reflects, as a mathematical theorem, the empirically observed “statistical regularity” in nature, where independent repetitions of a random experiment under uniform conditions result in observed stability of large sample relative frequency of an event. The second centr ...
... The first central feature also reflects, as a mathematical theorem, the empirically observed “statistical regularity” in nature, where independent repetitions of a random experiment under uniform conditions result in observed stability of large sample relative frequency of an event. The second centr ...
