Accession Number : AD0744361

Title :   Approximation Formulas for Vocabulary Size for the One-, Two-, and Three-Parameter Rank Distributions.

Descriptive Note : Technical rept.,

Corporate Author : MARYLAND UNIV COLLEGE PARK COMPUTER SCIENCE CENTER

Personal Author(s) : Edmundson,H. P. ; Fostel,G. ; Tung,I. ; Underwood,W.

Report Date : MAR 1972

Pagination or Media Count : 78

Abstract : 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)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, APPROXIMATION(MATHEMATICS)), INTEGRALS, SPECIAL FUNCTIONS(MATHEMATICAL), CURVE FITTING, GRAPHICS, COMPUTER PROGRAMS, VOCABULARY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE