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Confidence regions for the ratio of percentiles

Author

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  • Huang, Li-Fei
  • Johnson, Richard A.

Abstract

Motivated by applications in the lumber industry, we derive confidence regions for the ratio of percentiles from two different populations. Generalizing work on inferences concerning the ratio of two means, we develop an exact confidence procedure when the two populations are normal and have the same variance. Other cases for normal populations are treated by large sample methods. General populations are also treated in a large sample context. The different large sample procedures are compared with a small simulation study. An example, using strength of lumber data, is also given.

Suggested Citation

  • Huang, Li-Fei & Johnson, Richard A., 2006. "Confidence regions for the ratio of percentiles," Statistics & Probability Letters, Elsevier, vol. 76(4), pages 384-392, February.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:4:p:384-392
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    Cited by:

    1. Li, Xinmin & Tian, Lili & Wang, Juan & Muindi, Josephia R., 2012. "Comparison of quantiles for several normal populations," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 2129-2138.

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