Degree Type

Dissertation

Date of Award

1983

Degree Name

Doctor of Philosophy

Department

Statistics

Abstract

In computing the incomplete beta function, numerical instability is encountered as the parameters increase. To provide a given number of significant digits, a multiple precision (MP) package for the computation of the incomplete beta function has been developed. Since MP arithmetic is time consuming, finding an efficient algorithm is important. To complement the MP package, a new algorithm, for computation of the inverse incomplete beta function, with convergence of order 4 has been developed.

DOI

https://doi.org/10.31274/rtd-180813-5195

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Leigh Allen Ihnen

Language

en

Proquest ID

AAI8316150

File Format

application/pdf

File Size

159 pages

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