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Refinement revisited with connections to Bayes error, conditional entropy and calibrated classifiers
Refinement Score Probability Elicitation Calibrated Classifier Bayes Error Bound Conditional Entropy Proper Loss
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2013/4/27
The concept of refinement from probability elicitation is considered for proper scoring rules. Taking directions from the axioms of probability, refinement is further clarified using a Hilbert space i...
On some connections between random partitions of the unit segment and the Poisson process
some connections random partitions of the unit segment the Poisson process
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2009/9/22
Let D, be the diameter of a partition of the interval [0, t]
by renewal moments of a standard Poisson process. Then DJln t + 1 for
t + co, in probability. Other theorems on diameters are obtained. J...
Stationary random graphs on Z with prescribed iid degrees and finite mean connections
Random graphs degree distribution stationary model
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2009/4/23
Let F be a probability distribution with support on the non-negative integers. A model is proposed for generating stationary simple graphs on Z with degree distribution F and it is shown for this mode...
Stationary random graphs on Z with prescribed iid degrees and finite mean connections
probability distribution non-negative integers finite mean connections
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2009/4/3
Let F be a probability distribution with support on the non-negative integers. A model is proposed for generating stationary simple graphs on Z with degree distribution F and it is shown for this mode...