Subsampling needlet coefficients on the sphere

被引:35
作者
Baldi, P. [1 ]
Kerkyacharian, G. [2 ]
Marinucci, D. [1 ]
Picard, D. [2 ]
机构
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00173 Rome, Italy
[2] Lab Probabil & Modeles Aleatoires, Paris, France
关键词
random fields; spherical wavelets; subsampling; Voronoi cells; NON-GAUSSIANITY; WAVELETS; DECOMPOSITION; ASYMPTOTICS; TESTS;
D O I
10.3150/08-BEJ164
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In a recent paper, we analyzed the properties of a new kind of spherical wavelets (called needlets) for statistical inference procedures on spherical random fields; the investigation was mainly motivated by applications to cosmological data. In the present work, we exploit the asymptotic Uncorrelation of random needlet coefficients at fixed angular distances to construct subsampling statistics evaluated on Voronoi cells on the sphere. We illustrate how such statistics can be used for isotropy tests and for bootstrap estimation of nuisance parameters, even when a single realization of the spherical random field is observed. The asymptotic theory is developed in detail in the high resolution sense.
引用
收藏
页码:438 / 463
页数:26
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