Double Sampling in Estimation of a Ratio.

Abstract

Problems connected with the estimation of the ratio of the means of a finite bivariate population have been considered in this report. The usual estimator of the ratio, based on the means of a bivariate simple random sample drawn without replacement (s.r.s. (w.o.r.)), has been compared with estimators based on alternative double sampling design. Under this design a very large s.r.s. (w.o.r.) is drawn for measuring only one of the variables and a subsample (s.r.r. (w.o.r.)) is drawn out of the first phase units for measuring the other variable. Efficiency and bias comparisons have been made by subjecting each of the competitors to the same budgetary constraint. It turns out that deviation from the usual set-up sometimes leads to better sampling strategies. Additional keywords: Mean square errors; Statistical inference; Multivariate analysis; Approximation(Mathematics). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1985
Accession Number
ADA160346

Entities

People

  • C. Marcotte
  • Masab Ahmad
  • R. S. Singh

Organizations

  • University of Pittsburgh

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DTIC Thesaurus Topics

  • Air Force
  • Computations
  • Data Science
  • Efficiency
  • Estimators
  • Information Science
  • Mathematical Analysis
  • Mathematics
  • Multivariate Analysis
  • Observation
  • Sampling
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Statistical Samples
  • Statistical Sampling
  • Universities

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Systems Analysis and Design

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms