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The geometric distribution, a discrete distribution which describes the number of attempts needed to get the first success in a series of independent Yes/No experiments.

The negative binomial distribution, a generalization of the géometric distribution to the nth success.

The Poisson distribution, which describes the number of rare events that happen in a certain time interval.

The Boltzmann distribution, a discrete distribution important in statistical physics which describes the probabilities of the various discrete energy levels of a system in thermal equilibrium. It has a contiuous analogue. Special cases include