New two-stage sampling designs based on neoteric ranked set sampling

ABSTRACT

Neoteric ranked set sampling (NRSS) is a recently developed sampling plan, derived from the well-known ranked set sampling (RSS) scheme. It has already been proved that NRSS provides more efficient estimators for population mean and variance compared to RSS and other sampling designs based on ranked sets. In this work, we propose and evaluate the performance of some two-stage sampling designs based on NRSS. Five different sampling schemes are proposed. Through an extensive Monte Carlo simulation study, we verified that all proposed sampling designs outperform RSS, NRSS, and the original double RSS design, producing estimators for the population mean with a lower mean square error. Furthermore, as with NRSS, two-stage NRSS estimators present some bias for asymmetric distributions. We complement the study with a discussion on the relative performance of the proposed estimators. Moreover, an additional simulation based on data of the diameter and height of pine trees is presented.

KEYWORDS:

• Statistical efficiency
• Monte Carlo simulation
• double ranked set sampling
• imperfect ranking
• height of trees

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 62D05
• 62G05

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Cesar Taconeli http://orcid.org/0000-0002-3485-400X