Limit distributions for asymptotically linear statistics with spherical error

  • Celia Nunes Department of Mathematics and Center of Mathematics and Applications, University of Beira Interior, Covilha, Portugal
  • Dario Ferreira Department of Mathematics and Center of Mathematics and Applications, University of Beira Interior, Covilha, Portugal
  • Sandra S. Ferreira Department of Mathematics and Center of Mathematics and Applications, University of Beira Interior, Covilha, Portugal
  • Joao T. Mexia Center of Mathematics and its Applications, Faculty of Science and Technology, New University of Lisbon, Monte da Caparica, Portugal
DOI: https://doi.org/10.19139/soic.v6i3.580
Keywords: Asymptotic linearity, Limit distributions, Normal distribution, Spherical densities, Cylinder volume.

Abstract

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.

References

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Published
2018-08-19
How to Cite
Nunes, C., Ferreira, D., Ferreira, S. S., & Mexia, J. T. (2018). Limit distributions for asymptotically linear statistics with spherical error. Statistics, Optimization & Information Computing, 6(3), 409-414. https://doi.org/10.19139/soic.v6i3.580
Issue
Vol 6 No 3 (2018)
Section
Research Articles
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