Some characterizations of the spherical harmonics coefficients for isotropic random fields

Statistics and Probability Letters

Volumn 77, Issue 5, 2007, Pages 490-496

  Baldi, Paolo ^a   Marinucci, Domenico ^a  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Characterization of gaussian random fields; Spherical harmonics; Spherical random fields

Indexed keywords

EID: 33846164416     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.08.016     Document Type: Article

References (13)

1. Arjunwadkar M., Genovese C.R., Miller C.J., Nichol R.C., and Wasserman L. Nonparametric inference for the cosmic microwave background. Statist. Sci. 19 (2004) 308-321
2. Bartolo N., Komatsu E., Matarrese S., and Riotto A. Non-gaussianity from inflation: theory and observations. Phys. Rep. 402 (2004) 103-266
3. Contaldi C.R., and Magueijo J. Generating non-gaussian maps with a given power spectrum and bispectrum. Phys. Rev. D 63 (2001)
4. Cruz M., Marinez-Gonzalez E., Vielva P., and Cayon L. Detection of a non-gaussian spot in WMAP. Monthly Notices Roy. Astronom. Soc. 356 (2005) 29-40
5. Doré O., Colombi S., and Bouchet F. Probing CMB non Gaussianity using local curvature. Monthly Notices of Roy. Astronom. Soc. 344 (2003) 905-916
6. Jin J., Starck J.-L., Donoho D., 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
7. Kagan A.M., Linnik Y.V., and Rao C.R. Characterization Problems in Mathematical Statistics (1973), Wiley, New York, London, Sydney (Translated from the Russian by B. Ramachandran, Wiley Series in Probability and Mathematical Statistics)
8. Leonenko, N., 1999. Limit Theorems for Random Fields with Singular Spectrum. Mathematics and its Applications, vol. 465, Kluwer Academic Publishers, Dordrecht.
9. Marinucci D. Testing for non-gaussianity on cosmic microwave background radiation: a review. Statist. Sci. 19 (2004) 294-307
10. Marinucci D., and Piccioni M. The empirical process on Gaussian spherical harmonics. Ann. Statist. 32 (2004) 1261-1288
11. Park C. Nongaussian signatures in the temperature fluctuations observed by the Wilkinson microwave anisotropy probe. Monthly Notices Roy. Astronom. Soc. 349 (2004) 313-320
12. Varshalovich D.A., Moskalev A.N., and Khersonskiǐ V.K. Irreducible tensors, spherical harmonics, vector coupling coefficients, 3 nj symbols. Quantum Theory of Angular Momentum (1988), World Scientific Publishing Co. Inc., Teaneck, NJ (Translated from the Russian)
13. Vilenkin, N.J., Klimyk, A.U., 1991. Simplest Lie groups, special functions and integral transforms. Representation of Lie Groups and Special Functions, vol. 1. Mathematics and its Applications (Soviet Series), vol. 72. Kluwer Academic Publishers Group, Dordrecht (Translated from the Russian by V.A. Groza and A.A. Groza).