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Van De Hulst On Robust Statistics: A Historical Note

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  • W.R. van Zwet

Abstract

This paper provides a discussion of an unpublished set of notes written in 1942 by the Dutch astronomer H.C. VAN DE HULST. In these notes VAN DE HULST derives the asymptotic variances of M–estimators as well as trimmed means and concludes that the asymptotic variance of what is now called HUBER'S estimator is the same as that of a trimmed mean. This conclusion is usually ascribed to BICKEL (1965). A letter written by D. VAN DANTZIG in 1943 providing a critical evaluation of. VAN DE HULST'S results, adds interest to this suprisingly early contribution to the theory of robust statistics.

Suggested Citation

  • W.R. van Zwet, 1985. "Van De Hulst On Robust Statistics: A Historical Note," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 39(2), pages 81-95, June.
    • Handle: RePEc:bla:stanee:v:39:y:1985:i:2:p:81-95
    DOI: 10.1111/j.1467-9574.1985.tb01129.x
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