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Improved exponential type ratio estimator in double sampling for stratification.

Anurag Gupta1, Rajesh Tailor2, Nitu Barod2

  • 1School of Studies in Statistics, Vikram University, Ujjain, M.P., 456010, India. gupta.glg@gmail.com.

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Researchers developed a new chain-ratio-type exponential estimator for estimating population means using double sampling. This novel method improves efficiency compared to existing estimators in stratified populations.

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Area of Science:

  • Statistics
  • Survey Methodology

Background:

  • Estimating finite population means is crucial in statistical surveys.
  • Double sampling for stratification is an efficient technique when auxiliary information is available.

Purpose of the Study:

  • To develop a chain-ratio-type exponential estimator for finite population mean estimation.
  • To enhance estimation efficiency in double sampling for stratification.

Main Methods:

  • Construction of a novel chain-ratio-type exponential estimator.
  • Comparison with standard unbiased and existing estimators.
  • Validation using natural and simulated populations.

Main Results:

  • The proposed estimator demonstrates superior efficiency under specific conditions.
  • Theoretical efficiency gains are supported by empirical evidence.

Conclusions:

  • The new chain-ratio-type exponential estimator offers improved precision for population mean estimation.
  • This method provides a valuable advancement for stratified double sampling techniques.