Hello,

I'm new in this forum and I would like to ask for your help.

I have a set of Independent Bernoulli random variables, but they are not identically distributed, with different success probabilities.

I would like to approximate the Sum of this random variables, but since they are not identically distributed, I do not know which conditions should be met in order to perform this approximation. I've seen in many places that "given certain conditions" this approximation is possible, but I do not know what are the conditions.

Could anyone please give me some advice?

Thank you.

I'm new in this forum and I would like to ask for your help.

I have a set of Independent Bernoulli random variables, but they are not identically distributed, with different success probabilities.

I would like to approximate the Sum of this random variables, but since they are not identically distributed, I do not know which conditions should be met in order to perform this approximation. I've seen in many places that "given certain conditions" this approximation is possible, but I do not know what are the conditions.

Could anyone please give me some advice?

Thank you.

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