Discuss the characteristics and applications of the Poisson distribution, including its relationship with the exponential distribution and its use in modeling rare events.
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Adi S.
Poisson process: What are the assumptions of the Poisson process? Describe the Poisson distribution in terms of equations, figures, and text. Define all parameters. Provide examples of quantities that can be modeled by the Poisson distribution in everyday life and in your major field of study. For example, earthquakes in California. How would you compare the binomial distribution and the Poisson distribution? In which cases are they applicable? Define the return period. Describe the exponential distribution in terms of equations, figures, and text. Define all parameters. What does it measure? Describe the shifted exponential distribution in terms of equations, figures, and text.
What application does the Poisson distribution have other than to estimate certain binomial probabilities?
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The Poisson Probability Distribution
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