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On the systematic and system-based study of grapheme frequencies: a re-analysis of German letter frequencies

This study looks at the theoretical modeling of letter frequencies. Based on recent findings demonstrating the negative hypergeometric function to be an adequate model, a re-analysis of German data reported by Best (2005) is conducted, concentrating on a detailed examination of parameter behavior. It is shown that all parameters of this distribution behave regularly, if the analysis is based on the system’s inventory size, rather than on the class of items occurring in the given sample. Directions for future research are pointed out, particularly involving factors influencing parameter values.