A double-sequential sampling scheme

Abstract

In this article, we have developed a new sequential sampling scheme, called the double-sequential sampling scheme, in which sampling is proceeded k-at-a-time ($k\ge 2$) part of way, and then one-at-a-time sequentially. Requiring the same projected sample size as the Anscombe-Chow-Robbins (ACR) scheme, it further helps to save sampling operations. We include the statistical inference problems of fixed-width confidence interval estimation and minimum risk point estimation for a normal mean when the population variance also remains unknown as two illustrations. These are followed by extensive sets of simulations and real-data illustrations using horticulture data, showing great practical applicability of this new sequential sampling scheme.

Keywords:

• Double-sequential
• fixed-width confidence interval
• minimum risk point estimation
• real-data illustrations
• sampling operations
• simulations

MATHEMATICS SUBJECT CLASSIFICATION:

• 62L10
• 62L12

Acknowledgments

The author thanks anonymous reviewers for their valuable comments which led to a substantial improvement of the article.