Methods of Computing Vocabulary Size for the Two-Parameter Rank Distribution.
MARYLAND UNIV COLLEGE PARK COMPUTER SCIENCE CENTER
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The paper describes a summation method for computing the vocabulary size for given pairs of the parameter values of the 2-parameter rank distribution. Two methods of determining the asymptotes of the rank-distribution curves are also described. Tables are computed and graphs are drawn relating pairs of parameter values to vocabulary size. The partial product formula for the Riemann zeta function is investigated as an approximation to the partial sum formula for the Riemann zeta function. An error bound is established that indicates that the partial product should not be used to approximate the partial sum in calculating the vocabulary size for the 2-parameter rank distribution. Author