### Questions (80)

 21 Why doesn't the exponential family include all distributions? 15 What is the maximum entropy probability density function for a positive continuous variable of given mean and standard deviation? 14 Sum of Bernoulli variables with different success probabilities [duplicate] 11 How to sample a truncated multinomial distribution? 10 Stable distributions that can be multiplied?

### Reputation (3,120)

 +10 How to sample a truncated multinomial distribution? +10 Mutual information between subsets of variables in the multivariate normal distribution +10 Continuous approximation to binomial distribution +10 Generate a random set of numbers with fixed sum and desired means and variances?

 3 Mutual information between $X$ and $f(X)$ 3 Converting central moments to non-central moments (and back) 2 Gradient calculation with backpropagation through $max$ function 2 Moments of the truncated normal distribution (univariate) away from the mean 2 $\alpha,\beta\ge 1$ in a Beta distribution. What does it imply for the mean and variance?

### Tags (90)

 6 mutual-information × 11 2 information-theory × 6 5 moments × 8 2 numerics × 6 3 beta-distribution × 9 2 truncated-normal-distribution × 3 3 random-variable × 5 2 neural-networks 3 continuous-data × 2 2 backpropagation

### Bookmarks (3)

 9 Is the maximum entropy distribution consistent with given marginal distributions the product distribution of the marginals? 4 Approximation for Beta distribution when alpha is less than 10 2 $\sigma^2 \le (\mu-a)(b-\mu)$ for all probability distributions bounded on $[a,b]$? [duplicate]