Asymptotic Theory of Taguchis Natural Estimators of the Signal to Noise Ratio for Dynamic Robust Parameter Design

Koji Tsukuda, Yasushi Nagata*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This article discusses the asymptotic theory of Taguchis natural estimators of the signal to noise ratio (SNR) for dynamic robust parameter design. Three asymptotic properties are shown. First, two natural estimators of the population SNR are asymptotically equivalent. Second, both of these estimators are consistent. Finally, both of these estimators are asymptotically normally distributed.

Original languageEnglish
Pages (from-to)4734-4741
Number of pages8
JournalCommunications in Statistics - Theory and Methods
Volume44
Issue number22
DOIs
Publication statusPublished - 2015 Nov 17

Keywords

  • Asymptotic normality
  • Consistency
  • Robust parameter design
  • Signal to noise ratio

ASJC Scopus subject areas

  • Statistics and Probability

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