1 / 9

What is the Poisson Distribution?

What is the Poisson Distribution?. Dr. Ron Tibben-Lembke. Ce n'est pas les petits poissons. Les poissons Les poissons How I love les poissons Love to chop And to serve little fish First I cut off their heads Then I pull out the bones Ah mais oui Ca c'est toujours delish

hoang
Download Presentation

What is the Poisson Distribution?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. What is the Poisson Distribution? Dr. Ron Tibben-Lembke

  2. Ce n'est pas les petits poissons. Les poissons Les poissons How I love les poissons Love to chop And to serve little fish First I cut off their heads Then I pull out the bones Ah mais oui Ca c'est toujours delish Les poissons Les poissons Hee hee hee Hah hah hah With the cleaver I hack them in two I pull out what's inside And I serve it up fried God, I love little fishes Don't you?

  3. Simeon Denis Poisson • "Researches on the probability of criminal and civil verdicts" 1837  • looked at the form of the binomial distribution when the number of trials was large.  • He derived the cumulative Poisson distribution as the limiting case of the binomial when the chance of success tend to zero.

  4. Binomial Distribution • Given n trials • P = probability of success each time • X = number of successes in total • Probability of x successes in n tries:

  5. Poisson Distribution

  6. POISSON(x,mean,cumulative) • X   is the number of events. • Mean   is the expected numeric value. • Cumulative   is a logical value that determines the form of the probability distribution returned. If cumulative is TRUE, POISSON returns the cumulative Poisson probability that the number of random events occurring will be between zero and x inclusive; if FALSE, it returns the Poisson probability mass function that the number of events occurring will be exactly x.

More Related