Any chance anyone could help me think of a function as in probability but it does not convergence almost surely nor in ?
Thanks in advance!
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If I'm not mistaking, you can have a look at sequence of independent rv's where
It does converge in probability, but doesn't converge in Lp. As for the almost sure converge, we'll have to use Borel-Cantelli (look here for proving that part)
how about P(X_n=n)=1/n and P(X_n=0)=1-1/n
Originally Posted by matheagle how about P(X_n=n)=1/n and P(X_n=0)=1-1/n It's the same for any sequence following a Bernoulli distribution actually
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