Physics307L F09:Schedule/Week 10 agenda/Poisson

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Poisson Distribution

(This is a probability mass function)

Is the limit of the bionomial distribution when probability of success goes to zero, number of trials goes to infinity, and p*n = lambda

For a given collection of data, thought to be Poisson distributed, the maximum likelihood fit is

where x_i are the counts recorded in each trial, and N is the number of trials

Example: decay of radioactive sample