How To Calculate Approximate Expectation Of Function Of A Binomial Random Variable?
Let’s learn how To Calculate Approximate Expectation Of Function Of A Binomial Random Variable. The most accurate or helpful solution is served by Mathematics.
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I am stuck at following problem in my research. Suppose that $M=m$ is a random variable with binomial distribution and parameters $n,p$. The constants $r$ and $\gamma$ are greater than zero. $\mathcal{E} _M$ is the expectation operator with respect to $M$. I need to calculate following expectations: \begin{equation} \mathcal{E} _M \left[ \frac{m}{m+1} e^{ - \frac{2^{\frac{m+1}{m}\cdot r } - 1}{\gamma}} \right] \end{equation} and \begin{equation} \mathcal{E} _M \left[ \frac{m}{m+1} \left(e^{ - ...
Answer:
I doubt that there are closed forms. If $n$ is not too large, you can just calculate the expected values...
navneet malani at Mathematics Mark as irrelevant Undo
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