Sum of Bernoulli variables expectation composed in ReLU function

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Assuming $n$ independent random variables $g_i \in \lbrace0,1\rbrace$,
which takes the value 1 with probability of $p_i$.

Asumming $x_i\in\mathbb{R}$ , how can I calculate the following expectation ?

$$ E_{g_i} [\max (0, \sum_{i=1}^n x_ig_i)]$$

Is it possible to approximate or to bound the above with the Poisson destitution? what will be the $\lambda$ in such case ?