Let $x \in \{0,1\}^n$ be uniformly at random. What is an estimate for the entropy of moments, $H(\sum_i x_i, \sum_i i\cdot x_i, \sum_i i^2\cdot x_i)$ ?
$H(.)$ here is the Shannon entropy
Let $x \in \{0,1\}^n$ be uniformly at random. What is an estimate for the entropy of moments, $H(\sum_i x_i, \sum_i i\cdot x_i, \sum_i i^2\cdot x_i)$ ?
$H(.)$ here is the Shannon entropy