Population Mean
The mean of a distribution with probability density function is the first raw
moment , defined by
(1)
|
where is the expectation
value.
For a continuous distribution
function, the population mean is given by
(2)
|
where is the expectation
value. Similarly, for a discrete distribution,
(3)
|
The population mean of a distribution is implemented in the Wolfram
Language as Mean[dist].
The sample mean is an unbiased
estimator for the population mean.