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Issue ESAIM: PS
Volume 7, 2003
Page(s) 147 - 159
DOI 10.1051/ps:2003006

References

  1. Y. Baraud, Model selection for regression on a fixed design. Probab. Theory Related Fields 117 (2000) 467-493.
  2. Y. Baraud, S. Huet and B. Laurent, Adaptive tests of linear hypotheses by model selection. Ann. Statist. 31 (2003).
  3. Y. Baraud, S. Huet and B. Laurent, Tests for convex hypotheses, Technical Report 2001-66. University of Paris XI, France (2001).
  4. H.D. Brunk, On the estimation of parameters restricted by inequalities. Ann. Math. Statist. 29 (1958) 437-454.
  5. L. Dümbgen and V.G. Spokoïny, Multiscale testing of qualitative hypotheses. Ann. Statist. 29 (2001) 124-152.
  6. S. Ghosal, A. Sen and A. van der Vaart, Testing monotonicity of regression. Ann. Statist. 28 (2000) 1054-1082.
  7. I. Gijbels, P. Hall, M.C. Jones and I. Koch, Tests for monotonicity of a regression mean with guaranteed level. Biometrika 87 (2000) 663-673.
  8. P. Hall and N. Heckman, Testing for monotonicity of a regression mean by calibrating for linear functions. Ann. Statist. 28 (2000) 20-39.
  9. I.A. Ibragimov and R.Z. Has'minskii, Statistical estimation. Asymptotic theory. Springer-Verlag, New York-Berlin, Appl. Math. 16 (1981).
  10. A. Juditsky and A. Nemirovski, On nonparametric tests of positivity/monotonicity/convexity. Ann. Statist. 30 (2002) 498-527.
  11. B. Laurent and P. Massart, Adaptive estimation of a quadratic functional by model selection. Ann. Statist. 28 (2000) 1302-1338.
Abstract

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