| Home | Current | Past volumes | About | Login | Notify | Contact | Search | |||||
|
|||||
References[1] Adler, R.J. and Taylor, J.E. (2007) Random Fields and Geometry, Springer. MR2319516 [2] Antoine, J.-P. and Vandergheynst, P. (2007) Wavelets on the Sphere and Other Conic Sections, Journal of Fourier Analysis and its Applications, 13, 369–386. MR2329008 [3] Babich, D., Creminelli, P., Zaldarriaga, M. (2004) The Shape of non-Gaussianities, Journal of Cosmology and Astroparticle Physics 8, 009. [4] Baldi, P., Marinucci, D.(2007), Some Characterizations of the Spherical Harmonics Coefficients for Isotropic Random Fields, Statistics and Probability Letters 77, 490–496. MR2344633 [5] Baldi, P., Kerkyacharian, G., Marinucci, D. and Picard, D. (2008) High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus, Journal of Multivariate Analysis, 99, 606–636, arxiv:math/0606154 [6] Baldi, P., Kerkyacharian, G., Marinucci, D. and Picard, D. (2006) Asymptotics for Spherical Needlets, Annals of Statistics, in press, arxiv:math/0606599 [7] Baldi, P., Kerkyacharian, G. Marinucci, D. and Picard, D. (2007) Subsampling Needlet Coefficients on the Sphere, preprint, arxiv 0706.4169 [8] Bartolo, N., Komatsu, E., Matarrese, S., Riotto, A. (2004) Non-Gaussianity from Inflation: Theory and Observations, Phys.Rept. 402, 103–266. MR2106384 [9] Billingsley, P.(1968) Convergence of Probability Measures. Wiley, New York. MR0233396 [10] Cabella, P., Hansen, F.K., Marinucci, D., Pagano, D. and Vittorio, N.(2004) Search for non-Gaussianity in Pixel, Harmonic, and Wavelet Space: Compared and Combined. Physical Review D 69 063007. [11] Cabella, P., Hansen, F.K., Liguori, M., Marinucci, D., Matarrese, S., Moscardini, L., and Vittorio, N. (2006) The Integrated Bispectrum as a Test of CMB non-Gaussianity: Detection Power and Limits on f_NL with WMAP Data, Monthly Notices of the Royal Astronomical Society 369, 819–824, arxiv:astro-ph/0512112 [12] Cruz, M., Cayon, L., Martinez-Gonzalez, E., Vielva, P., Jin, J., (2007) The non-Gaussian Cold Spot in the 3-year WMAP data, Astrophysical Journal 655, 11–20. [13] Cruz, M., Cayon, L., Martinez-Gonzalez, E., Vielva, P., (2006) The non-Gaussian Cold Spot in WMAP: Significance, Morphology and Foreground Contribution, Monthly Notices of the Royal Astronomical Society 369, 57–67. [14] DeJong, P.(1990) A Central Limit Theorem for Generalized Multilinear Forms. Journal of Multivariate Analysis 34, 275–289. MR1073110 [15] S. Dodelson (2003) Modern Cosmology, Academic Press. [16] Doroshkevich, A.G., Naselsky, P.D., Verkhodanov, O.V., Novikov, D.I., Turchaninov, V.I., Novikov, I.D., Christensen, P.R., Chiang, L.-Y. (2005) Gauss-Legendre Sky Pixelization (GLESP) for CMB Maps, International Journal of Modern Physics D 14, 275, arxiv:astro-ph/0305537 [17] Guilloux, F., Fay, G., Cardoso, J.-F. (2007) Practical Wavelet Design on the Sphere, arxiv 0706.2598 [18] Gorski, K. M., Hivon, E., Banday, A. J., Wandelt, B. D., Hansen, F. K., Reinecke, M., Bartelman, M., (2005) HEALPix – a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere, Astrophysical Journal 622, 759–771, arxiv:astro-ph/0409513 [19] Kerkyacharian, G., Petrushev, P., Picard, D., Willer, T. (2007) Needlet Algorithms for Estimation in Inverse Problems, Electronic Journal of Statistics, 1, 30–76. MR2312145 [20] Komatsu, E. and Spergel, D.N. (2001) Acoustic Signatures in the Primary Microwave Background Bispectrum. Physycal Review D 63 063002, arXiv:astro-ph/0005036 [21] Yadav, A.P.S., Komatsu, E., Wandelt, B. D. (2007) Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background, The Astrophysical Journal, Volume 664, Issue 2, pp. 680–686. [22] Yadav, A. P. S., Komatsu, E., Wandelt, B. D., Liguori, M., Hansen, F. K., Matarrese, S. (2007) Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background II: Partial Sky Coverage and Inhomogeneous Noise, preprint arXiv:0711.4933 [23] Marinucci, D. (2006), High-Resolution Asymptotics for the Angular Bispectrum of Spherical Random Fields, The Annals of Statistics 34, 1–41, arxiv;math/0502434 MR2275233 [24] Marinucci, D. (2007), A Central Limit Theorem and Higher Order Results for the Angular Bispectrum, Probability Theory and Related Fields, in press, arxiv:math/0509430 [25] Marinucci, D. and Peccati, G. (2007), Group Representations and High-Resolution Central Limit Theorems for Subordinated Spherical Random Fields, arXiv:0706.2851 [26] Marinucci, D., Pietrobon, D., Balbi, A., Baldi, P., Cabella, P., Kerkyacharian, G., Natoli, P., Picard, D., Vittorio, N. (2008) Spherical Needlets for CMB Data Analysis, Monthly Notices of the Royal Astronomical Society, Vol. 383, 539–545, arxiv:0707/0844 [27] McEwen, J.D., Vielva, P., Wiaux, Y., Barreiro, R.B., Cayon, L., Hobson, M.P., Lasenby, A.N., Martinez-Gonzalez, E., Sanz, J. (2007) Cosmological Applications of a Wavelet Analysis on the Sphere, Journal of Fourier Analysis and its Applications, 13, 495–510. MR2329015 [28] Martinez-Gonzalez, E., Forni, O. (2006) Report on the non-Gaussian Working Group activities, internal communication within the Planck collaboration. [29] Mhaskar, H.N, Narcowich, F.J and Ward, J.D.(2000) Spherical Marcinkiewicz-Zygmund Inequalities and Positive Quadrature, Math. Comp. 70 (2001), no. 235, 1113–1130. 41A55 (42C10 65D30). MR1710640 [30] Narcowich, F.J., Petrushev, P. and Ward, J.D. (2006a) Localized Tight Frames on Spheres, SIAM Journal of Mathematical Analysis 38, 2, 574–594. MR2237162 [31] Narcowich, F.J., Petrushev, P. and Ward, J.D. (2006b) Decomposition of Besov and Triebel-Lizorkin Spaces on the Sphere, Journal of Functional Analysis 238, 2, 530–564. MR2253732 [32] Nualart, D., Peccati, G. (2005) Central Limit Theorems For Sequences of Multiple Stochastic Integrals, Annals of Probability 33, 1, 177–193. MR2118863 [33] Pietrobon, D., Balbi, A., Marinucci, D. (2006) Integrated Sachs-Wolfe Effect from the Cross Correlation of WMAP3 Year and the NRAO VLA Sky Survey Data: New Results and Constraints on Dark Energy, Physical Review D, 74, 043524. [34] Surgailis, D. CLTs for Polynomials of Linear Sequences: Diagram Formula with Illustrations,(English summary) Theory and applications of long-range dependence, 111–127, Birkhäuser Boston, Boston, MA, 2003. 60F05 (60G15). MR1956046 [35] Straf, M.L. (1972) Weak Convergence of Stochastic Processes with Several Parameters, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, II, 187–221. MR0402847 [36] Varshalovich, D.A., Moskalev, A.N. and Khersonskii, V.K. (1988).Quantum Theory of Angular Momentum. World Scientific, Singapore. MR1022665 [37] Yadav, A.P.S. and Wandelt, B.D. (2007) Detection of Primordial non-Gaussianity (fNL) in the WMAP 3-Year Data at above 99.5% Confidence, arxiv: 0712.1148 [38] Wiaux, Y., McEwen, J.D., Vielva, P., (2007) Complex Data Processing: Fast Wavelet Analysis on the Sphere, Journal of Fourier Analysis and its Applications, 13, 477–494. MR2329014 |
|||||
|
Home | Current | Past volumes | About | Login | Notify | Contact | Search Electronic Journal of Statistics. ISSN: 1935-7524 |