Approximation Formulas for Vocabulary Size for the One-, Two-, and Three-Parameter Rank Distributions.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1972
- Accession Number
- AD0744361
Entities
People
- G. Fostel
- H. P. Edmundson
- I. Tung
- W. Underwood
Organizations
- University of Maryland