STAT330 Lecture Notes - Step Function, Digamma Function, Scale Parameter
9 Feb 2014
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Document Summary
The follow examples will illustrate the ideas and concepts we will study in. The following table gives the number of fumbles in a game made by 110. It is believed that a poisson model will t these data well. Why might this be a reasonable assumption? (probability models) If we let the random variable x = number of fumbles in a game and assume that the poisson model is reasonable then the probability function (p. f. ) of x is given by. Xe x! x = 0, 1, . where is a parameter of the model which represents the mean number of fumbles in a game. (random variables, probability func- Tions, expectation, model parameters) since is unknown we might estimate it using the sample mean. 110 2. 55. (point estimation) the estimate = x is the maximum likelihood (m. l. ) estimate of . It is the value of which maximizes the likelihood.
