A brief review of probability for statistical modeling
نویسنده
چکیده
Definition 1 (Partition) A collection of sets {H1, . . . ,HK} is a partition of another set H if 1. the events are disjoint, which we write as Hi ∩Hj = ∅ for i 6= j; 2. the union of the sets is H, which we write as ∪k=1Hk = H. In the context of identifying which of several statements is true, if H is the set of all possible truths and {H1, . . . ,HK} is a partition of H, then exactly one out of {H1, . . . ,HK} contains the truth. ∗Departments of Statistics, Biostatistics and the Center for Statistics and the Social Sciences, University of Washington, Seattle, Washington 98195-4322.
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