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Is there any approach or mathematical formula using which we can predict the interarrival times for a Poisson distribution (not the expected interarrival time as it comes out to be same dependent only the rate parameter) ? Do we need require to know the probability distribution for finding the time interval for a a particular number of events to occur ?

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  • $\begingroup$ This is the exponential distribution, or do you mean something else? $\endgroup$ – Jimmy R. Mar 13 '14 at 22:55
  • $\begingroup$ say an event occurred at instant t. now how much time do i have to wait before the event will occur again. $\endgroup$ – codeahead Mar 13 '14 at 23:09
  • $\begingroup$ Exponential distribution, clearly with parameter 1/λ where λ is the rate (mean) of your poisson distribution $\endgroup$ – Jimmy R. Mar 13 '14 at 23:11
  • $\begingroup$ this is the expected time interval for the event to occur and thus would always be the same if λ is constant. But, since the waiting time follows the exponential distribution, is there any method to determine the exact distribution? $\endgroup$ – codeahead Mar 14 '14 at 7:45
  • $\begingroup$ Please do not use the tag (poisson-geometry) for questions related to Poisson processes or Poisson random variables. These are unrelated. $\endgroup$ – Did Mar 7 '17 at 7:45

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