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Confidence Intervals for Coefficient of Variation of Inverse Gaussian Distribution

Published: 25 May 2020 Publication History

Abstract

The coefficient of variation is an useful indicator to measure and compare separated data in different units. This paper proposes the new confidence interval for the single coefficient of variation and the difference between coefficients of variation of Inverse Gaussian distribution using the generalized confidence interval (GCI) and the bootstrap percentile confidence interval. A Monte Carlo simulation is used to construct and compare the performance of these confidence intervals based on the coverage probability and average length. The results of the simulation study showed that the GCI is an appropriate method to construct the confidence interval for the single coefficient of variation and the difference between coefficients of variation. The proposed approaches are illustrated based on the real data.

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Cited By

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  • (2024)Confidence Intervals for the Coefficient of Variation in Delta Inverse Gaussian DistributionsSymmetry10.3390/sym1611148816:11(1488)Online publication date: 7-Nov-2024
  • (2022)Measurement of dispersion of PM 2.5 in Thailand using confidence intervals for the coefficient of variation of an inverse Gaussian distributionPeerJ10.7717/peerj.1298810(e12988)Online publication date: 17-Feb-2022

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  1. Confidence Intervals for Coefficient of Variation of Inverse Gaussian Distribution

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    cover image ACM Other conferences
    ICVISP 2019: Proceedings of the 3rd International Conference on Vision, Image and Signal Processing
    August 2019
    584 pages
    ISBN:9781450376259
    DOI:10.1145/3387168
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 25 May 2020

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    Author Tags

    1. Bootstrap Percentile Confidence Interval
    2. Coefficient of Variation
    3. Generalized Confidence Interval
    4. Inverse Gaussian distribution

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    Cited By

    View all
    • (2024)Confidence Intervals for the Coefficient of Variation in Delta Inverse Gaussian DistributionsSymmetry10.3390/sym1611148816:11(1488)Online publication date: 7-Nov-2024
    • (2022)Measurement of dispersion of PM 2.5 in Thailand using confidence intervals for the coefficient of variation of an inverse Gaussian distributionPeerJ10.7717/peerj.1298810(e12988)Online publication date: 17-Feb-2022

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