Adaptive chi-square tests

Journal of Mathematical Sciences

Volumn 99, Issue 2, 2000, Pages 1110-1119

  Ingster, Y I ^a  

^a Zapiski Nauchnykh Seminarov POMI ^*  (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28044470992     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02673632     Document Type: Article

References (16)

1. p, " Teor. Veroyatn. Primen., 31, 384-389 (1986).
2. Yu. I. Ingster, "Asymptotically minimax hypothesis testing for nonparametric alternatives. I, II, III, " Mathematical Methods of Statistics, 2, 85-114, 171-189, 249-268 (1993).
3. p, " Teor. Veroyatn. Primen., 39, 530-553 (1994).
4. M. S. Ermakov, "Asymptotically minimax nonparametric hypothesis testing on distribution densities, " Zap. Nauchn. Semin. LOMI, 166, 44-53 (1988).
5. M. S. Ermakov, "Minimax nonparametric hypothesis testing on distribution densities, " Teor. Veroyatn. Primen., 39, 488-512 (1994).
6. O. V. Lepski and V. G. Spokoiny, "Minimaxnonparametric hypothesis testing: The case of an inhomogeneous alternative, " Technical Report 44, Humboldt Univ., Berlin (1995).
7. V. G. Spokoiny, "Adaptive hypotheses testing using wavelets, " Technical Report 176, Weierstrass Institute, Berlin (1995).
8. V. G. Spokoiny, "Adaptive and spatially adaptive testing of nonparametric hypothesis, " Technical Report 234, Weierstrass Institute, Berlin (1996).
9. O. V. Lepski and A. B. Tsybakov, "Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point, " Discussion Paper 91, Humboldt Univ., Berlin (1996).
10. H. Triebel, Theory of Function Spaces. II, Basel, Birkhauser (1992).
11. A. Cohen, I. Daubechies, and P. Vial, "Wavelets on an interval and fast wavelet transforms, " Applied and Computational Harmonic Analysis (A), 1, 54-81 (1993).
12. O. V. Lepski, "On the problem of adaptive estimating in the Gaussian white noise, " Teor. Veroyatn. Primen., 35, 454-466 (1990).
13. Yu. I. Ingster, "Asymptotically minimax independence hypothesis testing, " Zap. Nauchn. Semin. LOMI, 153, 60-72 (1986).
14. M. V. Burnashev, "On minimax detecting of an inaccurately known signal under the Gaussian white noise background, " Teor. Veroyatn. Primen., 24, 107-119 (1979).
15. P. Hall, "Central limit theorem for integrated square error of multivariate nonparametric density estimators, " J. Multivar. Anal., 14, 1-16 (1984).
16. R. Sh. Liptser and A. N. Shiryaev, "Rate of convergence in the central limit theorem for martingales, " Teor. Veroyatn. Primen., 27, 3-14 (1982).