Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices |
| |
Authors: | R Brent Dozier Jack W Silverstein |
| |
Institution: | North Carolina State University, Raleigh, NC 27695, USA |
| |
Abstract: | A derivation of results on the analytic behavior of the limiting spectral distribution of sample covariance matrices of the “information-plus-noise” type, as studied in Dozier and Silverstein On the empirical distribution of eigenvalues of large dimensional information-plus-noise type matrices, 2004, submitted for publication], is presented. It is shown that, away from zero, the limiting distribution possesses a continuous density. The density is analytic where it is positive and, for the most relevant cases of a in the boundary of its support, exhibits behavior closely resembling that of for x near a. A procedure to determine its support is also analyzed. |
| |
Keywords: | primary 60E99 26A46 secondary 62H99 |
本文献已被 ScienceDirect 等数据库收录! |
|