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Extra info for A statistical method for the estimation of window-period risk of transfusion-transmitted HIV in dono

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This parameter is unknown, because among workers sampled in the CPS is known. This is an example of a statistic. In inference a researcher will often use a statistic to try to draw partial conclusions (or inferences) about a parameter. When a statistic is used in this way it is called an estimator of the parameter. In the labor force example, the average hourly wage for all workers surveyed in the CPS is an estimator of the average hourly wage for all American workers. We will denote a variable by a letter from the end of the alphabet, such as x, y or z.

If the question is changed to "which flight is more on time", the answer also depends on a single number, called variance. The larger the variance is, the less the flight is on time. If we say the first flight is more on time, then it means that the variance qf the first flight is smaller than the second, vice versa. Therefore, variance describes the scatter state of the random variable around a specified value, the mean in this case. Many of us have the following experiences. 3. Random variable 1?

20) is called likelihood function. 21) 0 then parameter 0 is called the maximum likelihood estimate of parameter 0, Suppose I ^ . j C j , - - - , ^ \6) is differentiable, then 6 must satisfy the likelihood equation — = 0. 22) ' Because log L (log-likelihood function) is a monotonically increasing function of 40 2. Inference and statistics L, they are maximized at the same point. So logi is often used to replace L, satisfying logarithmic likelihood (log-likelihood) equation dO 0. 2 The Asymptotic Distribution of the M-L Estimator Maximum Likelihood (M-L) Method is the most widely used method for parameter estimation.

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