Detection boundary in sparse regression
نویسندگان
چکیده
منابع مشابه
Detection boundary in sparse regression
We study the problem of detection of a p-dimensional sparse vector of parameters in the linear regression model with Gaussian noise. We establish the detection boundary, i.e., the necessary and sufficient conditions for the possibility of successful detection as both the sample size n and the dimension p tend to the infinity. Testing procedures that achieve this boundary are also exhibited. Our...
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ژورنال
عنوان ژورنال: Electronic Journal of Statistics
سال: 2010
ISSN: 1935-7524
DOI: 10.1214/10-ejs589