Application of local rank tests to nonparametric regression

Journal of Nonparametric Statistics

Volumn 14, Issue 5, 2002, Pages 511-537

  Dümbgen, Lutz ^a  

^a UNIVERSITY OF BERN   (Switzerland)

Author keywords

Exponential inequality; Linear rank statistic; Modality; Monotonicity; Multiscale testing; Quadratic complexity

Indexed keywords

EID: 0036799290     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485250213903     Document Type: Article

References (7)

1. Chaudhuri, P. and Matron, J.S. (1999). SiZer for exploration of structures in curves. J. Amer. Statist. Assoc., 94, 807-823.
2. Donoho, D.L. (1988). One-sided inference about functionals of a density. Ann. Statist., 16, 1390-1420.
3. Dümbgen, L. (1998). Symmetrization and decoupling of combinatorial random elements. Statist. Prob. Letters, 39, 355-361.
4. Dümbgen, L. and Spokoiny, V.G. (2001). Multiscale testing of qualitative hypotheses. Ann. Statist., 29, 124-152.
5. Hájek, J. (1961). Some extensions of the Wald-Wolfowitz-Noether theorem. Ann. Math. Statist., 32, 506-523.
6. Khas'minskii, R.Z. (1979). Lower bounds for the risk of nonparametric estimates of the mode. In Jureckova, J. (Ed.), Contributions to Statistics, Jaroslav Hájek Memorial Volume. Academia, Prague, pp. 91-97.
7. van der Vaart, A.W. and Wellner, J.A. (1996). Weak Convergence and Empirical Processes with Applications to Statistics. Springer, New York.