Poisson Additivity
If X∼Poisson(λ_1) and Y∼Poisson(λ_2) are independent:
$$X+Y\sim\operatorname{Poisson}(\lambda_1+\lambda_2)$$
Usage
- Used to combine independent Poisson counts.
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Probability
Poisson Additivity
Poisson Additivity
If X∼Poisson(λ_1) and Y∼Poisson(λ_2) are independent:
$$X+Y\sim\operatorname{Poisson}(\lambda_1+\lambda_2)$$
Usage
- Used to combine independent Poisson counts.
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