Quite common, e.g., in the papers of Green and Tao or the book of additive combinatorics of Tao and Vu. The notation is also more and more commonly used in some parts of analytic number theory to simplify the writing of (typically) finite averages, with things like Or maybe with a blackboard “E”, or something similar. Ibid., The value of the expectation is.£5.īut let us leave that aside), and the notation is typically 1848 WHARTON Law Lex., Expectation, in the doctrine of chances, is applied to any contingent event, upon the happening of which some benefit is expected. (1841) 97 The balance is the average required, and is known by the name of the mathematical expectation. The degree of probability of the occurrence of any contingent event.ġ832 WEBSTER s.v., If the chances of receiving or not receiving a hundred dollars.are equal then.the expectation is worth half the money. Probabilists use the word “expectation” to describe the average of a random variable (which is by the way rather badly defined by the OED:Ĩ.
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