TY - JOUR

T1 - Estimation of the radius of a circle when the coordinates of a number of points on its circumference are observed : an example of bootstrapping

AU - Linssen, H.N.

AU - Banens, P.J.A.

PY - 1983

Y1 - 1983

N2 - 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.

AB - 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.

U2 - 10.1016/0167-7152(83)90050-0

DO - 10.1016/0167-7152(83)90050-0

M3 - Article

SN - 0167-7152

VL - 1

SP - 307

EP - 311

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 6

ER -