> > >> The population mean is an unbiased estimate of the generator mean. > >> The sample mean is an unbiased estimate of the population mean, > >> and therefore of the generator mean. > > > I think you have a point here. But as you can see that there is a > > problem with consistency. > > > Let's say that generator mean is Mu, and population mean is Mu + Eps. > > And I take as you suggest Eps is a random error not a systematic error > > (not a bias). > > > Now as you take more and more sample means, you will see that they > > will start to gather around Mu+Eps not Mu. Now do we have a random > > error or a systematic error? > > It all depends on whether we're talking about the conditional > distribution of the sample mean, given the population mean; or the > unconditional (or marginal) distribution of the sample mean. As an > estimate of the generator mean, the ssmple mean is conditionally > biased but marginally unbiased. >
I don't think I am following you. How is all that related to conditioning?