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DISTRIBUTION-FREE CONFIDENCE INTERVALS FOR FUNCTIONS OF QUANTILES

Part of: Nonparametric inference

Published online by Cambridge University Press:  17 September 2020

CHANDIMA N. P. G. ARACHCHIGE Open the ORCID record for CHANDIMA N. P. G. ARACHCHIGE [Opens in a new window]
CHANDIMA N. P. G. ARACHCHIGE*
Affiliation:
Department of Mathematics and Statistics, La Trobe University, Bundoora, Victoria3086, Australia
*
e-mail: chandimanilanthi@gmail.com
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Abstract

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Keywords

confidence intervalquantileestimatorvariationskewness

MSC classification

Primary: 62G08: Nonparametric regression
Secondary: 62G15: Tolerance and confidence regions
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 3 , June 2021 , pp. 520 - 522
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to La Trobe University in December 2019; degree approved on 21 April 2020; supervisors Luke Prendergast and Bob Staudte.

References

Arachchige, C. N. P. G., M. Cairns and L. A. Prendergast, ‘Interval estimators for ratios of independent quantiles and interquantile ranges’, Comm. Statist. Simulation Comput., Published online (5 July 2019), 17 pages.CrossRefGoogle Scholar
Arachchige, C. N. P. G. and Prendergast, L. A., ‘Confidence intervals for median absolute deviations’, Preprint, arXiv:1910.00229.Google Scholar
Arachchige, C. N. P. G. and Prendergast, L. A., ‘Mean skewness measures’, Preprint, arxiv:1912.06996.Google Scholar
Arachchige, C. N. P. G., Prendergast, L. A. and Staudte, R. G., ‘Robust analogues to the coefficient of variation’, J. App. Stat., Published online (20 August 2020), 23 pages.CrossRefGoogle Scholar