메뉴 건너뛰기




Volumn 99, Issue 4, 2008, Pages 606-636

High frequency asymptotics for wavelet-based tests for Gaussianity and isotropy on the torus

Author keywords

High frequency asymptotics; Multivariate Central Limit Theorem; Random fields; Tests for Gaussianity and isotropy; Wavelets

Indexed keywords


EID: 40749120185     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2007.02.002     Document Type: Article
Times cited : (8)

References (22)
  • 2
    • 33644921211 scopus 로고    scopus 로고
    • Multivariate Bayesian function estimation
    • Angers J.-F., and Kim P. Multivariate Bayesian function estimation. Ann. Statist. 33 6 (2005) 2967-2999
    • (2005) Ann. Statist. , vol.33 , Issue.6 , pp. 2967-2999
    • Angers, J.-F.1    Kim, P.2
  • 4
    • 2342445589 scopus 로고    scopus 로고
    • P. Cabella, F. Hansen, D. Marinucci, D. Pagano, N. Vittorio, Search for non-gaussianity in pixel, harmonic, and wavelet space: Compared and combined. Physical Review D (Particles, Fields, Gravitation, and Cosmology), 69(6) (2004) 063007. URL: 〈http://link.aps.org/abstract/PRD/v69/e063007〉.
    • P. Cabella, F. Hansen, D. Marinucci, D. Pagano, N. Vittorio, Search for non-gaussianity in pixel, harmonic, and wavelet space: Compared and combined. Physical Review D (Particles, Fields, Gravitation, and Cosmology), 69(6) (2004) 063007. URL: 〈http://link.aps.org/abstract/PRD/v69/e063007〉.
  • 7
    • 31544473485 scopus 로고    scopus 로고
    • Cosmological non-gaussian signature detection: comparing performance of different statistical tests
    • Jin J., Starck J.-L., Donoho D.L., Aghanim N., and Forni O. Cosmological non-gaussian signature detection: comparing performance of different statistical tests. EURASIP J. Appl. Signal Process. 15 (2005) 2470-2485
    • (2005) EURASIP J. Appl. Signal Process. , vol.15 , pp. 2470-2485
    • Jin, J.1    Starck, J.-L.2    Donoho, D.L.3    Aghanim, N.4    Forni, O.5
  • 8
    • 0000647626 scopus 로고    scopus 로고
    • Estimating equations based on eigenfunctions for a discretely observed diffusion process
    • Kessler M., and Sørensen M. Estimating equations based on eigenfunctions for a discretely observed diffusion process. Bernoulli 5 2 (1999) 299-314
    • (1999) Bernoulli , vol.5 , Issue.2 , pp. 299-314
    • Kessler, M.1    Sørensen, M.2
  • 9
    • 40749125971 scopus 로고    scopus 로고
    • D. Marinucci, A central limit theorem and higher order results for the angular bispectrum. 2006, submitted for publication.
    • D. Marinucci, A central limit theorem and higher order results for the angular bispectrum. 2006, submitted for publication.
  • 10
    • 33744796252 scopus 로고    scopus 로고
    • High resolution asymptotics for the angular bispectrum of spherical random fields
    • Marinucci D. High resolution asymptotics for the angular bispectrum of spherical random fields. Ann. Statist. 34 1 (2006) 1-41
    • (2006) Ann. Statist. , vol.34 , Issue.1 , pp. 1-41
    • Marinucci, D.1
  • 11
    • 27944433393 scopus 로고    scopus 로고
    • Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
    • Meinshausen N., and Rice J. Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses. Ann. Statist. 34 1 (2006) 373-393
    • (2006) Ann. Statist. , vol.34 , Issue.1 , pp. 373-393
    • Meinshausen, N.1    Rice, J.2
  • 12
    • 33947259969 scopus 로고    scopus 로고
    • F.J. Narcowich, P. Petrushev, J.D. Ward, Localized tight frames on spheres, SIAM J. Math. Anal. 38 (2) (2006) 574-594.
    • F.J. Narcowich, P. Petrushev, J.D. Ward, Localized tight frames on spheres, SIAM J. Math. Anal. 38 (2) (2006) 574-594.
  • 13
    • 21844509981 scopus 로고
    • Modelling satellite ozone data
    • Niu X., and Tiao G. Modelling satellite ozone data. JASA 90 (1995) 969-983
    • (1995) JASA , vol.90 , pp. 969-983
    • Niu, X.1    Tiao, G.2
  • 14
    • 27644443778 scopus 로고    scopus 로고
    • Localized polynomial frames on the interval with Jacobi weights
    • Petrushev P., and Xu Y. Localized polynomial frames on the interval with Jacobi weights. J. Fourier Anal. Appl. 11 5 (2005) 557-575
    • (2005) J. Fourier Anal. Appl. , vol.11 , Issue.5 , pp. 557-575
    • Petrushev, P.1    Xu, Y.2
  • 15
    • 0032525577 scopus 로고    scopus 로고
    • Invariance principle for martingale-difference random fields
    • Poghosyan S., and Rœlly S. Invariance principle for martingale-difference random fields. Statist. Probab. Lett. 38 3 (1998) 235-245
    • (1998) Statist. Probab. Lett. , vol.38 , Issue.3 , pp. 235-245
    • Poghosyan, S.1    Rœlly, S.2
  • 16
    • 10444284712 scopus 로고    scopus 로고
    • Small-diffusion asymptotics for discretely sampled stochastic differential equations
    • Sørensen M., and Uchida M. Small-diffusion asymptotics for discretely sampled stochastic differential equations. Bernoulli 9 6 (2003) 1051-1069
    • (2003) Bernoulli , vol.9 , Issue.6 , pp. 1051-1069
    • Sørensen, M.1    Uchida, M.2
  • 18
    • 0033438006 scopus 로고    scopus 로고
    • Predicting random fields with increasing dense observations
    • Stein M.L. Predicting random fields with increasing dense observations. Ann. Appl. Probab. 9 1 (1999) 242-273
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.1 , pp. 242-273
    • Stein, M.L.1
  • 19
    • 0036100910 scopus 로고    scopus 로고
    • The screening effect in kriging
    • Stein M.L. The screening effect in kriging. Ann. Statist. 30 1 (2002) 298-323
    • (2002) Ann. Statist. , vol.30 , Issue.1 , pp. 298-323
    • Stein, M.L.1
  • 20
    • 40749109680 scopus 로고    scopus 로고
    • D. Surgailis. CLTs for polynomials of linear sequences: diagram formula with illustrations, Theory and applications of long-range dependence, Birkhäuser Boston, Boston, MA, 2003, pp. 111-127.
    • D. Surgailis. CLTs for polynomials of linear sequences: diagram formula with illustrations, Theory and applications of long-range dependence, Birkhäuser Boston, Boston, MA, 2003, pp. 111-127.
  • 21
    • 3843101473 scopus 로고    scopus 로고
    • Detection of non-gaussianity in the Wilkinson Microwave Anisotropy probe first-year data using spherical wavelets
    • Vielva P., Martínez-González E., Barreiro R.B., Sanz J.L., and Cayón L. Detection of non-gaussianity in the Wilkinson Microwave Anisotropy probe first-year data using spherical wavelets. Astrophys. J. 609 (2004) 22-34
    • (2004) Astrophys. J. , vol.609 , pp. 22-34
    • Vielva, P.1    Martínez-González, E.2    Barreiro, R.B.3    Sanz, J.L.4    Cayón, L.5
  • 22
    • 0037437984 scopus 로고    scopus 로고
    • Fast, exact CMB power spectrum estimation for a certain class of observational strategies
    • Wandelt B.D., and Hansen F.K. Fast, exact CMB power spectrum estimation for a certain class of observational strategies. Phys. Rev. D 67 2 (2003) 023001
    • (2003) Phys. Rev. D , vol.67 , Issue.2 , pp. 023001
    • Wandelt, B.D.1    Hansen, F.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.