Ankush
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 Jun 28 awarded Notable Question Jan 15 awarded Popular Question Sep 24 awarded Scholar Sep 24 accepted Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? Sep 21 awarded Custodian Sep 18 awarded Commentator Sep 18 comment Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? what will be the upper bound on above expression $$E[\log(n_j+1)] \approx \log( n p) + \frac{p-1}{2 p n} + \cdots$$? will it be $O(\log(n/m))$ or $O(n/m)$. Here $O()$ is Big-O notation of asymptotic complexity. Sep 18 comment Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? for $n_{j} = 0$ you can treat $\log(n_{j}) = 0$ or $1$ whatever is convenient. Sep 18 comment Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? yes, you got the problem right! I want to understand more on why it's not possible as you mentioned in 2nd paragraph. Can you please elaborate on this. If it is not possible, proof that shows this will be helpful. Thanks. Sep 18 comment Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? No. I'm not suggesting this. See my comment to dilip comment in question. Also if above is still no, can we compute the function $f(n,m) = E[\log(n_{j})]$ ? Sep 18 comment Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? @MichaelChernick I don't know, I'm just guessing it. I'm more than happy if anyone can reduce above as some function of $n$ Sep 18 revised Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? added 137 characters in body Sep 18 comment Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? @DilipSarwate $n$ is NOT random variable, but $n_{j}$ is random variable. Sep 17 comment Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? @DilipSarwate ok. but in above case it's not exactly $f(E[X])$. That would mean $log(n/m)$. In my proposed result, $m$ is outside $log()$ Sep 17 asked Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct? Aug 5 revised A question about probability added 44 characters in body Aug 5 answered A question about probability Aug 5 reviewed Approve Why this proof $0=1$ is wrong?(breakfast joke) Aug 4 comment Why this proof $0=1$ is wrong?(breakfast joke) @Auke I know that. But never got a chance to write equations into TeX system. Only used for resume n final report purpose :) Aug 4 comment Why this proof $0=1$ is wrong?(breakfast joke) ok :) I'm new to writing equations in \$