Statistical Analysis Stack Exchange
Statistical Analysis Stack Exchange

Questions tagged [poisson-binomial-distribution]

A discrete probability distribution corresponding to the sum of independent Bernoulli trials that are not necessarily identically distributed.

A discrete probability distribution corresponding to the sum of independent Bernoulli trials that are not necessarily identically distributed.

The binomial distribution is a special case of the Poisson binomial distribution.

102 questions
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Poisson binomial distribution PMF conjecture

I have an intuition that re-casting the Poisson binomial distribution probability mass function in the following way might lead to a more elegant closed form than the DFT approach: Sum the $\log_2$'s of the probabilities of each independent trial.…
James Bowery
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1 answer

Multiple coins with different but known bias: Probability of K heads with N coins and tosses

Suppose I have N biased coins. The bias of each coin $j$ is known: $p_j$. What is the probability that I throw at least K heads using all N coins and tossing them each once? The edge case of at least one coin showing head ($K=1$) is clear to me:…
broidul
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