Poisson - Poisson Distribution The Poisson Distribution is...

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Unformatted text preview: Poisson Distribution The Poisson Distribution is used to model the number of rare events that occur in space, time, volume, or any other dimension. For this distribution, • The average number of events in a given time period or space is λ . • The number of events in non-overlapping time periods or spaces are independent. • The probability of one event in a short time period or space h is λh . • The probability of more than one event in a short time period or space h is 0. • The random variable Y = number of events in a given time period or space. • The parameter for the Poisson random variable Y is λ . • The probability distribution function for the Poisson random variable Y is P ( Y = y ) = p ( y ) = λ y e- λ y ! y = 0 , 1 , 2 , . . . • The theoretical mean of the Poisson random variable Y is E ( Y ) = λ • The variance of the Poisson random variable Y is V ( Y ) = λ A Poisson distribution can be used to model the number of accidents that occur within a week at a...
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This note was uploaded on 01/27/2010 for the course STAT 342 taught by Professor Staff during the Spring '08 term at Iowa State.

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Poisson - Poisson Distribution The Poisson Distribution is...

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