Abstract
A study of the correlation of lengths of words in large literary texts is presented. We use the statistical tools based on Allan factor and fractal dimension for estimating the fractal indices associated with the presence of correlations in the original sequences. We found that there is a scaling behavior at large scales for Allan factor with an exponent value, which reveals positive correlations. By means of the fractal dimension, we confirmed the presence of memory in the sequences of lengths of words. In addition, when considering a random rearrangement of the lengths of words in the original text, the fractal exponents are consistent with an uncorrelated process.
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