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Operations research, linear programming, control theory, systems theory, optimal control, game theory
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Expected value (probability) maximization with binomial distribution
I need to solve an optimization problem that involves an expected value like
$$F(n,x) = \sum_{k=0}^n \binom{n}{k} p^k(1 - p)^{n - k} f(k,x).$$
Here $f(k,x)$ is actually a probability coming from a n …