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engleski
Binary variables that are random variables are distributed according to a Bernoulli distribution.
en.wikipedia.org
It is the generalization of the Bernoulli distribution for a categorical random variable.
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Every cumulant is just "n" times the corresponding cumulant of the corresponding Bernoulli distribution.
en.wikipedia.org
The first part concludes with what is now known as the Bernoulli distribution.
en.wikipedia.org
The special case 1 is a Bernoulli distribution.
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They all have the same Bernoulli distribution.
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In some contexts, uncorrelatedness implies at least pairwise independence (as when the random variables involved have Bernoulli distributions).
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Such a usage is liable to cause confusion, just as if Bernoulli distributions and binomial distributions were commonly conflated.
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