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Approximate confidence intervals after a sequential clinical trial comparing two exponential survival curves with censoring

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Abstract

A sequential test is considered for comparing two exponential survival curves with unknown failure rates θ1,θ2 > 0. The survival times are censored by both real time and an independent censoring variable. It is shown how very weak expansions for the bivariate version of the signed root transformation may be used to construct an approximate confidence interval for following the test. The accuracy of the method is illustrated by simulation results for several sequential tests and data-dependent allocation rules.
Original languageEnglish
Pages (from-to)79-96
Number of pages18
JournalJournal of Statistical Planning and Inference
Volume63
Issue number1
DOIs
Publication statusPublished - 30 Sept 1997

Keywords

  • Clinical trial
  • Data-dependent treatment allocation
  • Ratio of expected survival times
  • Sequential test
  • Stein's identity
  • Very weak expansions

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