An Almost Unbiased Estimator for Population Mean using Known Value of Population Parameter(s)

Almost Unbiased Estimator Using Known Value of Population Parameter(s) in Sample Surveys

An almost unbiased estimator using known value of some population parameter(s) is proposed. Under simple random sampling without replacement (SRSWOR) scheme the expressions for bias and mean square error (MSE) are derived. Numerical illustrations are given.

Horvitz-Thompson estimator of population mean under inverse sampling designs

Inverse sampling design is generally considered to be appropriate technique when the population is divided into two subpopulations, one of which contains only few units. In this paper, we derive the Horvitz-Thompson estimator for the population mean under inverse sampling designs, where subpopulation sizes are known. We then introduce an alternative unbiased estimator, corresponding to post-st...

Improved Estimation of the Population Mean Using Known Parameters of an Auxiliary Variable

Recovering population parameters from a single gene genealogy: an unbiased estimator of the growth rate.

We show that the number of lineages ancestral to a sample, as a function of time back into the past, which we call the number of lineages as a function of time (NLFT), is a nearly deterministic property of large-sample gene genealogies. We obtain analytic expressions for the NLFT for both constant-sized and exponentially growing populations. The low level of stochastic variation associated with...

An (almost) unbiased estimator for the S-Gini index∗

This note provides an unbiased estimator for the absolute S-Gini and an almost unbiased estimator for the relative S-Gini for integer parameter values. Simulations indicate that these estimators perform considerably better then the usual estimators, especially for small sample sizes. 1 The absolute and relative S-gini indices Assume that income is distributed according to a continuous and diffe...