Finite Population Variance Estimation Under LSS with Multiple Random Starts

Abstract

In this article, an unbiased estimator for finite population variance is developed under linear systematic sampling with two random starts and an explicit expression for its variance is also obtained. The study is supported by two real life situations. A detailed numerical comparative study has been carried out to compare its average variance with the average variance of the conventional unbiased estimator for finite population variance under simple random sampling for a wide variety of populations. Results based on the study strongly favor the use of the developed estimator for such populations.

Keywords:

• Correlogram
• Systematic sampling
• Unbiased
• Variance

Mathematics Subject Classification:

• 62D05

Acknowledgments

The author thanks the referee for his comments and Prof. N. Balakrishnan, Editor in Chief for his encouragement.