Zur Auswirkung von Endlichkeitskorrekturen bei der Analyse einfacher Zufallsstichproben

In statistical inference one usual assumption is, that data relates to a set of independent identically distributed random variables. From the viewpoint of sampling theory this assumption is only satisfied, if we draw a simple random sample with replacement or the population size is infinite. Then it is not necessary to consider a finite population correction when calculating the variance of a given estimator. To examine the effect of simple random sampling without replacement on the above assumption, the exact variances are calculated in the cases of mean value and variance estimation. This may give us information whether finite population correction is neglible or not.