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:

1972-03-01

Pagination or Media Count:

78.0

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