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Estimation of the radius of a circle when the coordinates of a number of points on its circumference are observed: An example of bootstrapping

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  • Linssen, H. N.
  • Banens, P. J. A.

Abstract

The bootstrap (Efron, 1979, 1982) is a very simple resampling plan and has shown to be successful in estimating the bias and other measures of statistical error of a number of estimators. It gives freedom from the constraints of traditional parametric theory at the cost of performing the usual statistical calculations a hundred or a thousand times over. In this letter another example of bootstrap estimation of bias is given. It is interesting that Quenouille's (1949) jackknife (see Miller, 1964, for a review) fails completely in this case.

Suggested Citation

  • Linssen, H. N. & Banens, P. J. A., 1983. "Estimation of the radius of a circle when the coordinates of a number of points on its circumference are observed: An example of bootstrapping," Statistics & Probability Letters, Elsevier, vol. 1(6), pages 307-311, October.
    • Handle: RePEc:eee:stapro:v:1:y:1983:i:6:p:307-311
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    Keywords

    Bootstrap bias;

    Statistics

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