Design-based estimation for a finite population quantity refers to an estimation approach where the randomness is introduced by the sampling design.
47, 663 685] well-known unbiased estimator for a finite population total admits an unbiased estimator for its variance as given by [Yates and Grundy, 1953. Selection without replacement from within strata with probability proportional to size. J. Roy. Statist. Soc.
In contrast to what one may expect, when the tagged model for a finite population and global interaction is asymptotically analysed, this limiting distribution concentrates only on one of the two absorbing states of the unperturbed model, the EQ. The formal demonstration of this relies on the concept of stochastic stability [8].
Variances were estimated with the correction for a finite population.
The sample size of 385 subjects was determined using the Taro Yamane formula for a finite population [ 19] and then proportionally stratified to the 21 selected DOTS centres.
For a finite population, unless there is complete panmixia and random sampling, a pattern of genetic isolation by geographic distance is generally expected [ 62].
In the remainder of the section, we relate the results obtained to a more general model with selection in the case of an infinite population and their implications for a finite population.
More precisely, we show that, for a finite population, the Moran model may produce significantly higher multi-locus MPs than that under the WF model, and that this difference grows with the number of loci and mutation rates.
> For a finite population, we have shown that the accuracy of multi-locus MPs predicted by the product rule is highly sensitive to mutation rates in the range of interest.
Furthermore, we show that the WF and Moran models may produce drastically different MPs for a finite population, and that this difference grows with the number of loci and mutation rates.
(2012, Sect. 4.4) study a model very similar to the current SIR model, also allowing for disease fatalities, the difference being that we here look at a stochastic model for a finite population.
