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On the limit distribution of multiscale test statistics for nonparametric curve estimation

Abstract

We prove continuity of the limit distribution function of certain multiscale test statistics which are used in nonparametric curve estimation.

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Reference

Dumbgen, L., Piterbarg, V.I. and Zholud, D. (2006). On the limit distribution of multiscale test statistics for nonparametric curve estimation, Mathematical Methods of Statistics, Vol. 15, No. 1, pp. 20-25.

BiBTeX

@article{DumbgenPiterbargZholud2006,
  Author = {Dumbgen, L., Piterbarg, V.I. and Zholud, D.},
  Year = {2006},
  Title = {On the limit distribution of multiscale test statistics for nonparametric curve estimation},
  Journal = {Mathematical Methods of Statistics},
  Volume = {15},
  Number = {1},
  Pages = {20--25}
}

Update 2018

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We prove continuity of the limit distribution function of certain multiscale test statistics which are used in nonparametric curve estimation.

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