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Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert… Click to show full abstract
Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert norm for finitedimensional perturbations of Gaussian functions. As an example, Durbin processes appearing in the study of empirical processes with estimated parameters are considered.
Keywords:
finite dimensional;
spectral asymptotics;
dimensional perturbations;
asymptotics family;
perturbations operators;
family finite
Journal Title: Doklady Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Doklady Mathematics
Year Published: 2018
Link to full text (if available)
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recommendations!