What are the assumptions required for a distribution to be considered a Poisson distribution?

  • The events are dependent on each other
  • The events are occurring at a constant mean rate and independently of the time since the last event
  • The events have more than two possible outcomes
  • The number of trials is fixed
The key assumptions for a Poisson distribution are that the events are happening at a constant mean rate and independently of the time since the last event. This is often used for modeling the number of times an event occurs in a given interval of time or space.
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