Sequential designs for estimating the operating window

Yongfei Fang, Yubin Tian*, Xia Cai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In some industrial tests, the testing specimens are subjected to a variety of stress levels to generate observations. During the test, a prescribed stress level is applied to each experimental unit and the outcome is ternary: non-response, successful-response and over-response. Non-response and over-response are two failure modes. There is a operating window of stress levels in which successful-responses are excited with probability p. This article proposes two new sequential designs to estimate the boundaries of the operating window. Simulation study shows that the proposed procedures are efficient and robust.

Original languageEnglish
Pages (from-to)2386-2398
Number of pages13
JournalCommunications in Statistics Part B: Simulation and Computation
Volume50
Issue number8
DOIs
Publication statusPublished - 2021

Keywords

  • 3pod design
  • Local D-optimal design
  • Locally converging design
  • Operating window
  • The MLE recursive method

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