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Tagged with birthday reference-request
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Mathematics of the birthday attack
Let $X, Y$ be finite sets with $|Y|= n$ and $f: X \to Y$ such that all preimages $f^{-1}(y),\,y\in Y$ have the same cardinality.
A pair $x_1 \neq x_2$ in $X$ such that $f(x_1)=f(x_2)$ is called a ...
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Birthday paradox for non-uniform distributions
The classic birthday paradox considers all $n$ possible choices to be equally likely (i.e. every day is chosen with probability $1/n$) and once $\Omega(\sqrt{n})$ days are chosen, the probability of $...
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An extension of the birthday problem
Th birthday problem (or paradox) has been done in many way, with around a dozen thread only on math.stackexchange. The way it is expressed is usually the following:
"Let us take $n$ people "...
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