Poisson Experiment

A Poisson Experiment is a Binomial Experiment where .. the number of successes is a Poisson random variable.

• • …
• Counter-Example(s):
  • a Binomial Experiment.
  • a Negative Binomial Experiment.
• See: Poisson Probability Function.

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References

2009

• http://stattrek.com/online-calculator/poisson.aspx#experiment
  • A Poisson experiment examines the number of times an event occurs during a specified interval. The interval could be anything - a unit of time, length, volume, etc. We might, for example, ask how many customers visit a store each day, or how many home runs are hit in a season of baseball.

    A Poisson experiment has the following characteristics:

    • The average rate of success is known.
    • The probability that a single success will occur during a short interval is proportional to the size of the interval.
    • The probability that a success will occur within a short interval is independent of successes that occur outside the interval.
    • The probability of more than one success occurring within a very short interval is small.

2001

• http://www.math.uah.edu/stat/applets/PoissonExperiment.html
  • QUOTE: The experiment is to run a Poisson process until time t. The arrivals are shown as red dots on a timeline. The random variable of interest is the number of arrivals N; this variable has a Poisson distribution. The value of N is recorded on each update in the data table. The probability density function and moments of N are shown in blue in the distribution graph and are recorded in the distribution table. On each update, the empirical density function and moments are shown in red in the distribution graph and recorded in the distribution table. The parameters of the experiment are the rate of the process r and the time t, which can be varied with the input controls.

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