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accepted Is this Expected value $E[\log(n_{j})] = \log(n)/m$ correct?
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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 suggested edit on 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 $