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Poisson distribution

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In probability theory and statistics, the Poisson distribution () is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate and independently of the time since the last event. It can also be used for the number of events in other types of intervals than time, and in dimension greater than 1 (e.g., number of events in a given area or volume).

Poisson distribution - Wikipedia Jump to content From Wikipedia, the free encyclopedia Discrete probability distribution Poisson distribution Probability mass function The horizontal axis is the index k , the number of occurrences. λ is the expected rate of occurrences. The vertical axis is the probability of k occurrences given λ . The function is defined only at integer values of k ; the connecting lines are only guides for the eye. Cumulative distribution function The horizontal axis is the index k , the number of occurrences. The CDF is discontinuous at the integers of k and flat everywher

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