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Confidence Intervals for the Difference Between Normal Means with Known Coefficients

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9376))

Abstract

Statistical estimation of the difference between normal means with known coefficients of variation has been investigated for the first time. This phenomenon occurs normally in environment and agriculture experiments when the scientist knows the coefficients of variation of their experiments. In this paper, we constructed new confidence intervals for the difference between normal means with known coefficients of variation. We also derived analytic expressions for the coverage probability and the expected length of each confidence interval. To confirm our theoretical results, Monte Carlo simulation will be used to assess the performance of these intervals based on their coverage probabilities and their expected lengths.

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References

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Correspondence to Suparat Niwitpong .

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© 2015 Springer International Publishing Switzerland

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Niwitpong, S., Niwitpong, SA. (2015). Confidence Intervals for the Difference Between Normal Means with Known Coefficients. In: Huynh, VN., Inuiguchi, M., Demoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2015. Lecture Notes in Computer Science(), vol 9376. Springer, Cham. https://doi.org/10.1007/978-3-319-25135-6_17

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  • DOI: https://doi.org/10.1007/978-3-319-25135-6_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25134-9

  • Online ISBN: 978-3-319-25135-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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