Suppose that we are sampling from three binomial distributions with n=2 but different p: x_i \sim \text{Binomial}(2, p_i), and then we sum those binomial realizations to create a new random variable z = x_1 + x_2 + x_3 Given some data for z, I want to build a Bayesian model to infer the distributi…

Sum of binomial random variables with different p?

Ozymandias October 2, 2023, 6:13am 3

Many thanks, will look into that!

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