New answers tagged bernoulli-distribution
3
votes
The distribution of the sum of three dependent Bernoulli random variables, all with the same correlation
There's not enough information here to determine the distribution of $X+Y+Z.$
If $X,Y,Z$ are independent and $p=1/2,$ then the three correlations are $0,$ but this is not the only joint distribution ...
- 11k
4
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The distribution of the sum of three dependent Bernoulli random variables, all with the same correlation
Glen_b's comments point to an example with $\rho=0$ and this is easily adapted for cases of $0 < \rho < 1$. For example consider the three joint distributions below using $P$ for probabilities ...
- 42.2k
0
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Sum of Bernoulli random variables with Gaussian noise
From the outside you only see the 0s and 1s as outcome with each trial the same ratio/probability. So a Bernoulli distributed variable with a noisy parameter, is just itselve a Bernoulli distributed ...
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