The estimation of frequency
- 1 March 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 10 (03) , 510-519
- https://doi.org/10.1017/s002190020011839x
Abstract
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 frequencyθ0, is in fact 0 or N≧N0(ω) whereN0(ω) is an integer, determined by the realisation,ω, of the process, that is almost surely finite.Keywords
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