On a Detection Estimator Related to Entropy

  • R. N. Madan
Part of the Fundamental Theories of Physics book series (FTPH, volume 31-32)


The paper discusses the problem of estimation of parameters in a Rayleigh distribution modified to take into account the additional information. Madan and Guild [1981] have already given the maximum likelihood estimator (MLE) and the minimum mean squared estimator (MMSE) for the problem. Here we propose a new type of estimator called the entropy estimator for finding the mean of the samples from a small number of observations. The entropy estimator is the ratio of the arithmetic mean to the geometric mean multiplied by a normalizing constant. After normalizing the three estimates appropriately, the tightness of the entropy estimator is demonstrated numerically.


False Alarm Random Noise Rayleigh Distribution Linear Detector Entropy Estimator 
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  2. Gray, A.H. and Markel, J.D. (1974). “A Spectral-Flatness Measure for Studying the Autocorrelation Method of Linear Prediction of Speech Analysis,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-22, No.3, pp. 207–217.Google Scholar
  3. Madan, R.N. and Guild, J. (1981). “Maximum Likelihood Estimation in Radar Signals,” International Symposium on Information Theory, IEEE, February 9–12, 1981, Santa Monica, CA.Google Scholar

Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • R. N. Madan
    • 1
  1. 1.Office of Naval ResearchArlingtonUSA

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