Testing for a Signal with Unknown Location and Scale in a Stationary Gaussian Random Field
نویسندگان
چکیده
منابع مشابه
Testing for a signal with unknown location and scale in a stationary Gaussian random field
We suppose that our observations can be decomposed into a fixed signal plus random noise, where the noise is modelled as a particular stationary Gaussian random field in N dimensional Euclidean space. The signal has the form of a known function centered at an unknown location and multiplied by an unknown amplitude, and we are primarily interested in a test to detect such a signal. There are man...
متن کاملTesting for a Signal with Unknown Location and Scale in a Stationary Gaussian Random Eld
SUMMARY We suppose that our observations can be decomposed into a xed signal plus random noise, where the noise is modelled as a particular stationary Gaussian random eld in N-dimensional Euclidean space. The signal has the form of a known function centered at an unknown location and multiplied by an unknown amplitude, and we are primarily interested in a test to detect such a signal. There are...
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Siegmund & Worsley (1995) considered the problem of testing for signals with unknown location and scale in a Gaussian random eld deened on < N. The test statistic was the maximum of a Gaussian random eld in an N + 1 dimensionaìscale space', N dimensions for location and 1 dimension for the scale of a smoothing lter. Scale space is identical to a continuous wavelet transform with a kernel smooth...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1995
ISSN: 0090-5364
DOI: 10.1214/aos/1176324539