Mathematics – Probability
Scientific paper
Jun 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...281..482d&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 281, June 1, 1984, p. 482-491.
Mathematics
Probability
59
Neutron Stars, Power Spectra, Probability Density Functions, Spectrum Analysis, Estimating, Noise Spectra, Polynomials
Scientific paper
In a study of the application of pulsar timing techniques to the investigation of possible torque noise and the subsequent diagnosis of the internal structure of neutron stars, Deeter and Boynton (1982) formulated a general mathematical framework for the computation of power spectra of irregularly sampled red noise processes. In this paper, the previously developed techniques for the estimation of red power spectra are extended, with the discussion of several topics relevant to a practical scheme for the recovery of red noise spectra. Among the power estimators investigated, the best performance is provided by the lowest mode estimator and by a small-degree polynomial which closely approximates the lowest mode. A scheme for the recovery of red power spectra which relies on the use of a single species of estimator on a hierarchy of time scales is proposed.
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