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January 1, 1971Journal of the Royal Statistical Society Series B (Statistical Methodology)22 citations

Error Analysis by Replaced Samples

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JHJ. A. Hartigan

Key Points

  • This research aims to explore how weighted sums can be effectively used to analyze errors in computations based on sampled observations.
  • Utilized weighted sums of normal observations for error analysis.
  • Applied weights consistently across different sample sets.
  • Assessed the validity of the approach across various computational scenarios.
  • Demonstrated that error analysis techniques can robustly apply in a broad range of situations.
  • Showed improvements in inference accuracy when using the weighted sums method.

Abstract

Summary For normal observations Xi, j = 1, …, N, certain weighted sums Yi, are used to draw inferences about the sum Y of a further N observations. The same family of weights Wij are applied in error analysis of general computations t on general samples x1, …, xN, with approximate validity in a wide range of situations.

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Cite This Study

J. A. Hartigan (1971) studied this question.

synapsesocial.com/papers/6a08e42a34cfc5f8bc5b74a6https://doi.org/10.1111/j.2517-6161.1971.tb00861.x
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