Higher Criticism Statistic: Theory and Applications in Non-gaussian Detection
نویسنده
چکیده
Higher Criticism is a statistic recently proposed by Donoho and Jin5. It has been shown to be effective in resolving a very subtle testing problem: whether n normal means are all zero versus a small fraction is nonzero. Higher Criticism is also useful for non-Gaussian detection in Cosmic Microwave Background (CMB) data. In this report, we review the theory developed in Donoho and Jin5 and discuss the use of Higher Criticism for two settings: detecting the non-Gaussian component in a superposed image of CMB and cosmic strings (CS), and detecting non-Gaussianity in the WMAP first year data.
منابع مشابه
Higher Criticism Statistic: Theory and Applications in Cosmology and Astronomy
Higher Criticism is a recent statistic proposed by Donoho and Jin [1] where it has been shown to be effective at resolving a very subtle testing problem: test whether n normal means are all zero versus the alternative that a small fraction is non-zero. Higher Criticism is also useful for non-Gaussian detection. Motivated by the recent problem of detecting cosmic strings, we consider a setting i...
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تاریخ انتشار 2005