The estimation of frequency

Journal of Applied Probability - Tập 10 Số 3 - Trang 510-519 - 1973
E. J. Hannan1
1The Australian National University

Tóm tắt

Very general forms of the strong law of large numbers and the central limit theorem are proved for estimates of the unknown parameters in a sinusoidal oscillation observed subject to error. In particular when the unknown frequency θ0, is in fact 0 or <it is shown that the estimate, , satisfies for NN0 (ω) where N0 (ω) is an integer, determined by the realisation, ω, of the process, that is almost surely finite.

Từ khóa


Tài liệu tham khảo

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