Estimation of the Mean using Samples obtained from Finite Populations (original) (raw)
2024, ForsChem Research Reports
The error involved in the estimation of the mean value of a population depends on both the sample size and the population size. Conventional expressions for determining the standard error in the estimation of the mean have been obtained under the assumption of independence between the elements in the sample. Unfortunately, for finite populations, the elements are not independent from each other, but they are correlated since the distribution of remaining elements in the population changes after an element is sampled. In this report, a general expression for the estimation error of the mean of finite populations is derived. As the population size increases, the estimation error approaches the conventional expression for infinite populations. An illustrative example is used to show the validity of the general expression obtained.
Related papers
2007
A general family of estimators for estimating the population mean of the variable under study, which make use of known value of certain population parameter(s), is proposed. Under Simple Random Sampling Without Replacement (SRSWOR) scheme, the expressions of bias and mean-squared error (MSE) up to first order of approximation are derived. Some well known estimators have been shown as particular member of this family. An empirical study is carried out to illustrate the performance of the constructed estimator over others.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.