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W. Li, \Mutual information functions of natural language texts," Santa Fe Institute preprint 89-009 (1989). Zipf's law 9

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ESTIMATING FUNCTIONS OF PROBABILITY DISTRIBUTIONS FROM A.. - Wolf, Wolpert (1993)   (7 citations)  (Correct)

.... [2] It may also be seen as a measure of the correlation between two symbolic systems with joint probability [3] The mutual information function has applications in areas such as communication theory [2] e.g. the measurement of channel capacity) pattern recognition [4] and natural languages [5], to name but a few. The chi squared statistic for independence is also given by a function of a matrix , 5) Chi squared is commonly used in statistical tests of independence [6] where it appears in a form with the maximum likelihood estimator of p substituted for p in Eq. 5) The form in Eq. ....

W. Li, "Mutual Information Functions of Natural Language Texts," Santa Fe Institute Report TR


Estimating Functions of Probability Distributions from a.. - Wolf, Wolpert (1993)   (7 citations)  (Correct)

.... [2] It may also be seen as a measure of the correlation between two symbolic systems with joint probability [3] The mutual information function has applications in areas such as communication theory [2] e.g. the measurement of channel capacity) pattern recognition [4] and natural languages [5], to name but a few. The chi squared statistic for independence is also given by a function of a matrix , 5) Chi squared is commonly used in statistical tests of independence [6] where it appears in a form with the maximum likelihood estimator of p substituted for p in Eq. 5) The form in Eq. ....

W. Li, "Mutual Information Functions of Natural Language Texts," Santa Fe Institute Report TR


Random Texts Exhibit Zipf's-Law-Like Word Frequency Distribution - Li (1992)   (21 citations)  Self-citation (Li)   (Correct)

....scaling phenomena such as the 1 f noise or long range correlation. In fact, the long range correlation and 1 f spectrum are absent in natural languages, as having been observed by the author that the mutual information function between two letters decays faster than power laws of small exponents [9]. Mandelbrot [3] seems to derive the same result that random texts exhibit the generalized Zipf s law by using lexicographic trees, and noticed that Zipf s law is linguistically very shallow. But he still tries to link Zipf s law with other scaling phenomena. This paper provides a much intuitive ....

W. Li, \Mutual information functions of natural language texts," Santa Fe Institute preprint 89-009 (1989). Zipf's law 9


Estimating Functions Of Probability Distributions From A.. - Wolpert, Wolf   (7 citations)  (Correct)

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W. Li, "Mutual Information Functions of Natural Language Texts," Santa Fe Institute Report TR


Of Expressions; It Means That the Convolution Product - May Be   (Correct)

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W. Li, "Mutual Information Functions of Natural Language Texts," Santa Fe Institute Report TR

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