On the maximal value of expectation of record numbers
Abstract
There are n independent random variables with some continuous distribution function. We consider the problem, how getting sequentially values of this variables and selecting one of them as the initial point to maximize (without knowledge of future values) the expected number of records among the rest in this sequence random variables. Refs 4. Tables 1.
Keywords:
record times, record values, record indicators
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.