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May 4 at 14:37 history edited LSpice CC BY-SA 4.0
Typo
May 4 at 12:55 vote accept Nate River
May 4 at 12:55 comment added Nate River Oh never mind. I misread the construction. What you suggested works. Nice construction!
May 4 at 12:50 comment added an_ordinary_mathematician If you need more details I can write down all the $\epsilon, \delta$ 's
May 4 at 12:49 comment added an_ordinary_mathematician Its a bit messy to write down, but the idea is that if the interval $ [m_k, m_{k+1}) $ is much longer than the interval $[1,m_k)$, when you average the only part of the sequence that counts is in the r.v. having index in the longer interval.
May 4 at 12:42 comment added Nate River Hm why is $Y = 1$ on $(\frac{1}{2}, 1)$? It seems I get $Y = 1$ on $(0, \frac{1}{2})$ and $0$ otherwise.
May 4 at 11:52 history answered an_ordinary_mathematician CC BY-SA 4.0