منابع مشابه
Net prophets
Statements that " we have come to do biology in a new way " or " there is a new paradigm in biological research " are now commonplace. Nobody seems to be satisfied by a single good experiment that gives a precise answer to a well formulated question, which was the old way we did biology. On the contrary there is now a belief that a mass attack on parallel fronts can provide a database of all th...
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Several formalisms for concurrent computation have been proposed in recent years that incorporate means to express stochastic continuous-time dynamics and non-determinism. In this setting, some obscure phenomena are known to exist, related to the fact that schedulers may yield too pessimistic verification results, since current nondeterminism can surprisingly be resolved based on prophesying th...
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متن کاملWald for non-stopping times: The rewards of impatient prophets
Let X1, X2, . . . be independent identically distributed nonnegative random variables. Wald’s identity states that the random sum ST := X1 + · · · + XT has expectation ET ·EX1 provided T is a stopping time. We prove here that for any 1 < α ≤ 2, if T is an arbitrary nonnegative random variable, then ST has finite expectation provided that X1 has finite α-moment and T has finite 1/(α− 1)-moment. ...
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Let X1,X2, . . . ,Xn be i.i.d. random variables with a known continuous distribution function. Robbins’ problem is to find a sequential stopping rule without recall which minimizes the expected rank of the selected observation. An upper bound (obtained by memoryless threshold rules) and a procedure to obtain lower bounds of the value are known, but the essence of the problem is still unsolved. ...
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ژورنال
عنوان ژورنال: The Bible and Critical Theory
سال: 2010
ISSN: 1832-3391
DOI: 10.2104/bc100024