Probability generating functions
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Poisson Distribution
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A discrete random variable X follows the Poisson distribution when X is such that it can take values r = 0, 1, 2, … and the probability that X takes the value is given by [Equation goes here &- download the original to see it.] We write [Equation goes here &- download the original to see it.] The probability generating function for the Poisson distribution is given by&:&- [Equation goes here &- download the original to see it.] Then [Equation goes here &- download the original to see it.] [Equation goes here &- download the original to see it.] Then [Equation goes here &- download the original to see it.]
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Contents of
Probability generating functions
1 Probability generating functions. Introduction.
2 Probability generating functions. Discrete random variable.
3 Probability generating functions. Uniform, discrete distribution
4 Binomial Distribution
5 Geometric Distribution
6 Poisson Distribution
7 The probability generating function of the sum of two independent variables
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