Spherical Mexican hat wavelet: an application to detect non-Gaussianity in the COBE-DMR maps
Spherical Mexican hat wavelet: an application to detect non-Gaussianity in the COBE-DMR maps
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球形墨西哥帽小波：检测 COBE-DMR 图中非高斯性的应用
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
G. Hinshaw
中科院分区：
文献类型：
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作者：
L. Cayón;J. L. Sanz;E. Martinez;A. Banday;F. Argüeso;J. Gallegos;K. Górski;G. Hinshaw
本文介绍了球面墨西哥帽子波，目的是检验宇宙微波背景温度起伏的高斯性。使用在几个尺度上的小波系数给出的信息，我们已经进行了几次统计测试的COBE-DMR地图上寻找证据的非高斯性。偏度、峰度、尺度-尺度相关性（两个和三个尺度）和Kolmogorov-Smirnov检验表明COBE-DMR数据符合高斯分布。我们已经扩展了分析，以比较COBE-DMR数据提供的温度值与每个像素和每个尺度的分布（从高斯模拟获得）。温度值在95%和99%界限之外的像素数与所有尺度上的高斯模拟结果一致。此外，COBE-DMR数据的极值（地图中的最高和最低温度）也与高斯模拟结果一致。
ABSTRA C T The spherical Mexican hat wavelet is introduced in this paper, with the aim of testing the Gaussianity of the cosmic microwave background temperature fluctuations. Using the information given by the wavelet coefficients at several scales, we have performed several statistical tests on the COBE-DMR maps to search for evidence of non-Gaussianity. Skewness, kurtosis, scale ‐ scale correlations (for two and three scales) and Kolmogorov‐ Smirnov tests indicate that the COBE-DMR data are consistent with a Gaussian distribution. We have extended the analysis to compare temperature values provided by COBE-DMR data with distributions (obtained from Gaussian simulations) at each pixel and at each scale. The number of pixels with temperature values outside the 95 and 99 per cent limits is consistent with that obtained from Gaussian simulations, at all scales. Moreover, the extrema values for COBE-DMR data (maximum and minimum temperatures in the map) are also consistent with those obtained from Gaussian simulations.