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Approximation Formulas for Vocabulary Size for the One-, Two-, and Three-Parameter Rank Distributions.
MARYLAND UNIV COLLEGE PARK COMPUTER SCIENCE CENTER
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The paper describes the derivation of approximation formulas for computing the vocabulary size for the 1-, 2-, and 3-parameter rank distributions. Error formulas are derived for the approximation formula in the 2-parameter rank distribuion. The derivations of the 2- and 3-parameter rank distributions depend on the ordinary and the generalized Riemann zeta functions, respectively. Asymptotes for the family of 2-parameter rank distribution curves are determined. Tables are computed and graphs are drawn relating parameter values to the vocabulary size for all distributions. Author
APPROVED FOR PUBLIC RELEASE