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PROBABILITY THEORY

Weak Hölder Convergence of Smoothed Uniform Quantile Process

Pages 1497-1505 | Received 14 Mar 2007, Accepted 17 Oct 2007, Published online: 26 Mar 2008

References

  • Dudley , R. M. ( 1992 ). Fréchet differentiability, p-variation and uniform Donsker classes. Ann. Probab. 20 ( 4 ): 1968 – 1982 .
  • Hamadouche , D. (1998a). Weak convergence of smoothed empirical process in Hölder spaces. Statist. Probab. Lett. 36:393–400.
  • Hamadouche , D. ( 1998b ). Hölder convergence of smoothed empirical process . Statist. Probab. Lett. 39 : 385 – 386 .
  • Lamperti , J. ( 1962 ). On convergence of stochastic processes . Trans. Amer. Math. Soc. 104 : 430 – 435 .
  • Morel , B. , Suquet , Ch . ( 2002 ). Hilbertian invariance principles for the empirical process under association . Mathemat. Meth. Statist. 11 ( 2 ): 203 – 220 .
  • Račkauskas , A. , Suquet , Ch . ( 2002 ). Hölder convergences of multivariate empirical characteristic functions . Mathemat. Meth. Statist. 11 ( 3 ): 341 – 357 .
  • Račkauskas , A. , Suquet , Ch . ( 2004 ). Hölder norm test statistics for epidemic change . J. Statist. Plann. Infer. 126 ( 2 ): 495 – 520 .
  • Račkauskas , A. , Suquet , Ch . ( 2006 ). Testing epidemic changes of infinite dimensional parameters . Statist. Infer. Stochastic Process. 9 : 111 – 134 .
  • Shorack , G. R. , Wellner , J. A. ( 1986 ). Empirical Processes with Applications to Statistics . New York : Wiley .
  • Suquet , Ch. , Viano , M.-C . ( 1998 ). Change point detection in dependant sequences: invariance principles for some quadratic statistics . Mathemat. Meth. Statist. 7 ( 2 ): 157 – 191 .

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