Asymptotics of Likelihood Ratio Tests for General One-sided Hypotheses in the Two-sample Normal Model

DOI10.1080/03610926.2012.700370zbMath1302.62049OpenAlexW2070408957MaRDI QIDQ2931559

Yoshiji Takagi

Publication date: 26 November 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.700370

zbMATH Keywords

intersection-union testinglikelihood ratio testingunion-intersection testinggeneral one-sided hypotheses

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Asymptotic properties of parametric tests (62F05)

Cites Work

• Testing general hypotheses under binomial sampling: the two sample case-asymptotic theory and exact procedures
• Bioequivalence trials, intersection-union tests and equivalence confidence sets. With comments and a rejoinder by the authors
• Asymptotics of likelihood ratio statistic for non-inferiority testing under exponential distribution with fixed censoring times
• The likelihood ratio test for non-standard hypotheses near the boundary of the null – with application to the assessment of non-inferiority
• Unconditional Non-Asymptotic One-Sided Tests for Independent Binomial Proportions When the Interest Lies in Showing Non-Inferiority and/or Superiority
• Testing noninferiority in three‐armed clinical trials based on likelihood ratio statistics

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