I have a simulator which simulates the jobs processed on different machines. I wish to model production of defective parts on the machines. So on a machine, I can model the time before the next defect happens. So should I consider Weibull distribution or Poisson distribution? How to choose? I do not have any data to fit and its up to me to decide the characteristics of the machines.
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2Is this what you meant to ask? The time between defects will be a continuous measurement whereas the Poisson distribution is discrete. – Scortchi - Reinstate Monica Nov 11 '16 at 12:12
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@Scortchi Yes. But still I am not clear. Arrival times are modeled using Poisson. Why not Weibull? – kosmos Nov 12 '16 at 08:05
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2If arrival times are modelled as having an exponential distribution, then the counts of arrivals over a given time interval have a Poisson distribution. See Relationship between poisson and exponential distribution. – Scortchi - Reinstate Monica Nov 12 '16 at 13:18