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Precise Logarithmic Asymptotics for the Right Tails of Some Limit Random Variables for Random Trees

✍ Scribed by James Allen Fill; Svante Janson


Publisher
Springer
Year
2009
Tongue
English
Weight
301 KB
Volume
12
Category
Article
ISSN
0218-0006

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## Let {x,x~ ; n >\\_ 1} be a sequence of i.i.d, random variables. Set Sn = X1 + X2 + β€’ .. +Xn and M,~ = maxk 1. By using the strong approximation method, we obtain that for any -1 if and only if EX = 0 and EX 2 < oo, which strengthen and extend the result of Gut and Sp~taru [1], where N is the stan