A behind-the-scenes blog about research methods at Pew Research Center. For our latest findings, visit pewresearch.org. Identifying causal relationships from observational data is not easy. Still, ...
Capturing dependence among a large number of high-dimensional random vectors is a very important and challenging problem. By arranging n random vectors of length p in the form of a matrix, we develop ...
We present deviation inequalities of random operators of the form $N^{-1}\sum_{i=1}^{N}X_{i}\otimes X_{i}$ from the average operator ${\Bbb E}(X\otimes X)$, where $X ...
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