Packet 6: Tossup 14

This word names families of distributions for which the mean and variance of the sufficient (15[1])statistic are derivatives of the log partition function. The natural parameter of a family of distributions denoted by this word is set equal to a linear predictor in the canonical link function of (15[2])a GLM. This word denotes a special case of the Erlang distribution with shape (15[1])parameter (-5[1])one, (-5[1])which is the only continuous distribution that is (*) memoryless. (10[2])The (10[1])series (10[4])expansion (10[1])of a function with this name is used (10[2])to show (10[1])that the Poisson PMF (10[2]-5[1])sums to one. The inter-arrival (10[1])times of a Poisson process (10[1])follow a distribution with this name, (10[1]-5[1])whose mean (-5[1])is the reciprocal of its (10[1])rate parameter lambda. (10[1]-5[1])For 10 points, (10[1]-5[1])give this name of the function (-5[1])applied to “negative x-squared (10[2])over two” in the PDF (10[1])of the standard (10[2])normal (10[1])distribution. (10[3])■END■ (10[4]0[9])

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