A review of the maximum entropy spectral analysis (MESA) method for time series is presented. Then, empirical evidence based on maximum entropy spectra of real seismic data is shown to suggest that M = 2N/ ln 2N is a reasonable a priori choice of the operator length M for discrete time series of length N . Various data examples support this conclusion.

In the previous lecture we defined the principle of Maximum Likelihood (ML): suppose we have random variables X1, ..., Xn form a random sample from a discrete distribution whose joint probability distribution is P (x | φ) where x = (x1, ..., xn) is a vector in the sample and φ is a parameter from some parameter space (which could be a discrete set of values — say class membership). When P (x | ...

This correspondence justifies the maximum entropy image reconstruction (MEIR) formulation proposed by Zhuang et al. (1987), Manuscript received September 18, 1989; revised June 6, 1990. This work was supported by the K. C. Wong Education Foundation, Hong Kong. X. Zhuang is with the Department of Electrical and Computer Engineering, University of Missouri, Columbia, MO 6521 1 . R. M. Haralick is...

In this paper, we propose the use of the Maximum Entropy approach for the task of automatic image annotation. Given labeled training data, Maximum Entropy is a statistical technique which allows one to predict the probability of a label given test data. The techniques allow for relationships between features to be effectively captured. and has been successfully applied to a number of language t...