منابع مشابه
An unexpected limit of expected values
Let t 0. Select numbers randomly from the interval [0, 1] until the sum is greater than t. Let (t) be the expected number of selections. We prove that (t) = et for 0 t 1. Moreover, limt→+∞ ( (t)− 2t)= 3 . This limit is a special case of our asymptotic results for solutions of the delay differential equation f ′(t) = f (t) − f (t − 1) for t > 1. We also consider four other solutions of this equa...
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2007
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2006.01.004