AI Article Synopsis

  • The paper focuses on improving methods for estimating population means in sample surveys by using additional information (auxiliary attributes).
  • It introduces modified versions of previous estimators and a new class of estimators, analyzing their performance through bias and mean squared error.
  • Results indicate that these new estimators outperform existing methods, achieving the lowest mean squared error in ideal conditions, supported by empirical evidence.

Article Abstract

The aim of this paper is to develop more effective methods for estimating population means in sample surveys using auxiliary attributes. To achieve this goal, we introduce a modified version of the estimators proposed by Koyuncu (2013b) and Shahzad et al. (2019), as well as a new class of estimators. We derive expressions for the bias and mean squared error of these new estimators up to the first degree of approximation. Our results show that the suggested classes of estimators perform better than other existing methods, with the lowest mean squared error under optimal conditions. We also conduct an empirical investigation to support our findings.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10290723PMC
http://dx.doi.org/10.1038/s41598-023-34603-zDOI Listing

Publication Analysis

Top Keywords

class estimators
8
squared error
8
estimators
5
efficient class
4
estimators finite
4
finite population
4
population auxiliary
4
auxiliary attribute
4
attribute stratified
4
stratified random
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!