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The American Statistician Volume 66, 2012 - Issue 1
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General

Robustness of the Simultaneous Estimators of Location and Scale From Approximating a Histogram by a Normal Density Curve

A. S. Hedayat Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, IL, 60607
&
Guoqin Su Novartis Pharmaceuticals, East Hanover, NJ, 07936
Pages 25-33 | Received 01 Jun 2010, Published online: 12 Jun 2012

REFERENCES

  • Andrews , D. F. , Bickel , P. J. , Hampel , F. R. , Huber , P. J. , Rogers , W. H. and Tukey , J. W. 1972 . Robust Estimates of Location: Survey and Advances , Princeton , NJ : Princeton University Press .
  • Brown , L. D. and Hwang , J. T. G. 1993 . “How to Approximate a Histogram by a Normal Density,” . The American Statistician , 47 : 251 – 255 .
  • Du Mond , C. E. and Lenth , R. V. 1987 . “A Robust Confidence Interval for Location,” . Technometrics , 29 : 211 – 219 .
  • Gross , A. M. 1973 . “A Monte Carlo Swindle for Estimators of Location,” . Applied Statistics , 22 : 347 – 353 .
  • Gross , A. M. 1976 . “Confidence-Interval Robustness With Long-Tailed Symmetric Distribution,” . Journal of the American Statistician Association , 71 : 409 – 416 .
  • Hampel , F. R. 1973 . “Robust Estimation: A Condensed Partial Survey,” . Z. Wahrscheinlichkeitstheorie Verw. Gebiete , 27 : 87 – 104 .
  • Hampel , F. R. , Ronchetti , E. M. , Rousseuw , P. J. and Stahel , W. A. 1986 . Robust Statistics. The Approach Based on Influence , New York : Wiley .
  • Huber , P. J. 1964 . “Robust Estimation of a Location Parameter,” . Annals of Mathematical Statistics , 35 : 73 – 101 .
  • Huber , P. J. and Ronchetti , E. M. 2009 . Robust Statistics (2nd ed.) , Hoboken , NJ : Wiley .
  • Kafadar , K. 1982 . “A Biweight Approach to the One-Sample Problem,” . Journal of the American Statistician Association , 77 : 416 – 424 .
  • Laubsche , N. F. , Hjort , N. L. , Jones , M. C. , Brown , L. D. and Hwang , J. T. G. 1994 . Letters to the Editor, . The American Statistician , 77 : 351 – 354 .
  • Lehmann , E. L. 1983 . Theory of Point Estimation , New York : Springer-Verlag .
  • Mosteller , F. and Tukey , J. W. 1977 . Data Analysis and Regression: A Second Course in Statistics , Reading, MA : Addison–Wesley Publishing Company .
  • Simon , G. 1976 . “Computer Simulation Swindles With Applications to Estimates of Location and Dispersion,” . Applied Statistics , 25 : 266 – 275 .
  • Stahel , W. A. 1991 . “Research Directions in Robust Statistics,” . In Directions in Robust Statistics and Diagnostics , Edited by: Stahel , W. and Weisberg , S. 243 – 278 . New York : Spring-Verlag .
  • Stigler , S. M. 1977 . “Do Robust Estimators Work With Real Data?,” . The Annals of Statistics , 5 : 1044 – 1078 .
  • Stigler , S. M. 2010 . “The Changing History of Robustness,” . The American Statistician , 64 : 277 – 281 .

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