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The function can be expressed as a function of , ,and it is called the variance function. Different choices of the function generate different distributions in the exponential family. For a binomial distribution with m trials, the function .For other distributions in the exponential family, . SAS/INSIGHT software includes normal, inverse Gaussian, gamma, Poisson, and binomial distributions for the response distribution. For these response distributions, the density functions f(y), the variance functions , and the dispersion parameters with function are
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