Population Mean

 

Population Mean

The mean of a distribution with probability density function P(x) is the first raw moment mu_1^', defined by

 mu=<x>,
(1)

where <f> is the expectation value.

For a continuous distribution function, the population mean is given by

 mu=intP(x)f(x)dx,
(2)

where <x> is the expectation value. Similarly, for a discrete distribution,

 mu=sum_(n=0)^NP(x_n)f(x_n).
(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. 

 

 

posted @ 2016-12-30 13:50  papering  阅读(229)  评论(0编辑  收藏  举报