Estimate of Population Variance by Introducing Gini’s Mean Difference as Auxiliary Information

Effect of Measurement Errors on a Class of Estimators of Population Mean Using Auxiliary Information in Sample Surveys

 We consider the problem of estimation the population mean of the study variate Y in presence of measurement errors when information on an auxiliary character X is known. A class of estimators for population means using information on an auxiliary variate X is defined. Expressions for its asymptotic bias and mean square error are obtained. Optimum conditions are obtained for which the mean...

Some Estimators for a Finite Population Mean by Using Estimated Multi-auxiliary Information

The objective of this paper is to derived difference, regression and predictive estimators for two stage sampling by using double sampling technique when multi-auxiliary information is unavailable. The mean square errors for these estimators have been derived. A numerical study is given for finding the relative comparison.

Nemirovski Estimate of Mean of Arbitrary Distributions with Bounded Variance

Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious. 1 Nemirovski Estimate of Mean of Arbitrary Distributions with Bounded Variance The popular Chernoff bounds assume severe restrictions on distribution: it must be...

Estimating the Population Mean in Stratified Population using Auxiliary Information under Non-Response

Estimation of Finite Population Variance Using Scrambled Responses in the Presence of Auxiliary Information

In this paper, a new estimator for estimating the finite population variance of a sensitive variable based on scrambled responses collected using a randomization device is introduced. The estimator is then improved by using known auxiliary information. The estimators due to Das and Tripathi (1978: Sankhya) and Isaki (1983: JASA) are shown to be special cases of the proposed estimator. Numerical...