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Limit distributions for asymptotically linear statistics with spherical error

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The aim of this work is to obtain general results for the limit distributions of asymptotically linear statistics when the error is spherical, increasing non-centrality. These results apply directly to homoscedastic normal error thus to high precision measurements. We present a numerical example on cylinder volume to illustrate the usefulness of our approach.

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Asymptotic linearity Limit distributions Normal distribution Spherical densities Cylinder volume

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