作者alex2014 (绿影)
看板Statistics
标题[讨论] [机统] 几题艰难的数理统计
时间Tue Nov 30 10:13:33 2010
1. Let X be a discrete random variable whose range is the
nonnegative integers . Show that
∞
EX = Σ (1-Fx(k)) , where Fx(k) = P(X≦k)
k=0
2. A random variable X is defined by Z = logX, where E(Z)=0
Is E(X) greater than ,less than , or equal to 1 ?
3. Does a distribution exist for which Mx(t)=t/(1-t),|t|＜1,
If yes ,find it ,if no ,prove it ?
感谢各位统计高手的协助,祝各位事业进步,学业顺利!
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