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What is Maximum of Independent Bernoulli Variables about?

The theorem states that the maximum of n mutually independent Bernoulli random variables is also a Bernoulli random variable. The proof shows that the probability mass function of the maximum can be derived from the individual Bernoulli distributions, leading to a Bernoulli distribution with parameters based on the probabilities of the individual variables. Additionally, the APPL verification confirms the consistency of this result for independent and identically distributed cases.

Author

Rangga Alif Excellino

Language

EN