Article ID Journal Published Year Pages File Type
1153068 Statistics & Probability Letters 2013 8 Pages PDF
Abstract

The paper establishes error orders for integral limit approximations to the traces of products of Toeplitz matrices generated by integrable real symmetric functions defined on the unit circle. These approximations and the corresponding error bounds are of importance in the statistical analysis of discrete-time stationary processes: asymptotic distributions and large deviations of Toeplitz type random quadratic forms, estimation of the spectral parameters and functionals, etc.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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