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Original Articles

Robust and efficient estimation of the mode of continuous data: the mode as a viable measure of central tendency

Pages 899-912 | Received 19 Sep 2000, Published online: 13 May 2010

References

  • Bickel , D. R. (2002a) . Robust estimators of the mode and skewness of continuous data . Computational Statistics and Data Analysis , 39 : 153 – 163 .
  • Bickel D. R. (2002b) Finding a difference in modes instead of stochastic ordering: Application to microarray gene expression data, under review
  • Bickel D. R. Frühwirth R. (2002) A fast, robust estimator of the mode for continuous distributions, under review
  • Box G. E. P. Tiao G. C. (1992) Bayesian Inference in Statistical Analysis John Wiley and Sons New York
  • Dharmadhikari S. Joag-dev K. (1988) Unimodality, Convexity, and Applications Academic Press New York
  • Donoho D. L. Huber P. J. (1983) The notion of a breakdown point In: Bickel, P. J., Doksum, K. A. and Hodges, J. L., Jr. (Eds.) Fetschrift for Erich L. Lehmann Wadsworth Belmont CA
  • Grenander , U. (1965) . Some direct estimates of the mode . Annals of Mathematical Statistics , 36 : 131 – 138 .
  • Grübel , R. (1988) . The length of the shorth . The Annals of Statistics , 16 : 619 – 628 .
  • Huber P. J. (1981) Robust Statistics John Wiley & Sons New York
  • Meyer , M. C. (2001) . An alternative unimodal density estimator with a consistent estimate of the mode . Statistica Sinica , 11 : 1159 – 1174 .
  • Press W. H. Teukolsky S. A. Vetterling W. T. Flannery B. P. (1996) Numerical Recipes in C Cambridge University Press Cambridge
  • Robertson , T. and Cryer , J. (1974) . An iterative procedure for estimating the mode . Journal of the American Statistical Association , 69 : 1012 – 1016 .
  • Rousseeuw , P. J. and Croux , C. (1993) . Alternatives to the median absolute deviation . Journal of the American Statistical Association , 88 : 1273 – 1283 .
  • Ryan T. A. Jr. Joiner B. L. (1976) Normal probability plots and tests for normality Minitab white paper, available onhttp://www.minitab.com/resources/whitepapers/nonnprob.htm
  • Silverman B. W. (1986) Density Estimation for Statistics and Data Analysis Chapman and Hall New York
  • Staudte R. G. Sheather S. J. (1990) Robust Estimation and Testing Wiley Interscience New York

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