Abstract 1. By a variable in the sense of the Theory of Probability we mean a quantity z, which may assume certain real values with certain probahilities. We shall call V(t) the probability function of z if, for every real t, V(t) is equal to the probabiliby that z has a value < t, increased by half the probability that z has exactly the value t.
Harald Cramér (1928) studied this question.
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