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RKHS approach to detection and estimation problems--V: Parameter estimation

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2 Author(s)
Duttweiler, D.L. ; AT&T Bell Labs., Holmdel, NJ ; Kailath, T.

Using reproducing-kernel Hilbert space (RKHS) techniques, we obtain new results for three different parameter estimation problems. The new results are 1) an explicit formula for the minimum-variance unbiased estimate of the arrival time of a step function in white Gaussian noise, 2) a new interpretation of the Bhattacharyya bounds on the variance of an unbiased estimate of a function of regression coefficients, and 3) a concise formula for the Cramér-Rao bound on the variance of an unbiased estimate of a parameter determining the covariance of a zero-mean Gaussian process.

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Information Theory, IEEE Transactions on  (Volume:19 ,  Issue: 1 )