A modified multiple comparisons with a control for exponential location parameters based on doubly censored sample under heteroscedasticity

ABSTRACT

In this paper, a modified one-stage multiple comparison procedures with a control for exponential location parameters based on the doubly censored sample under heteroscedasticity is proposed. A simulation study is done and the results show that the proposed procedures have shorter confidence length with coverage probabilities closer to the nominal ones compared with the one proposed in Wu (2017). At last, an example of comparing the duration of remission for four drugs as the treatment of leukemia is given to demonstrate the proposed procedures.

KEYWORDS:

• Doubly censored sample
• Exponential distribution
• Multiple comparisons with a control
• One-stage procedure

Acknowledgments

The author wish to thank an associate editor and referees for their careful reading and valuable suggestions so that the article is more readable and applicable. The author's research was supported by The National Science Council NSC101-2118-M-032-003-, NSC 102-2118-M-032-006- and Ministry of Science and Technology MOST 103-2118-M-032 -004 -MY2 and MOST 105-2118-M-032 -005 -MY2 in Taiwan, ROC.

Additional information

Funding

Ministry of Science and Technology, Taiwan MOST 103-2118-M-032 -004 -MY2 and MOST 105-2118-M