Confidence Bounds For The Binomial N Parameter: A Classical Approach

Author

Lee J. Bain, Missouri University of Science and TechnologyFollow
Max Engelhardt, Missouri University of Science and Technology
David H. Williams

Abstract

A method is described for finding the distribution of an estimator for the parameter N of the binomial distribution in order to construct confidence bounds for N. Using a partition generating algorithm, tables of lower confidence bounds are provided for a range of values, illustrating the nature of the problems involved in estimating the parameters. Examples are considered and the lower bounds compared with the convenient approximate bounds due to Hoel (1947), suggesting the approximate bounds are appropriate more generally then originally thought. © 1990 Taylor & Francis Group, LLC. All rights reserved.

Recommended Citation

L. J. Bain et al., "Confidence Bounds For The Binomial N Parameter: A Classical Approach," Communications in Statistics - Simulation and Computation, vol. 19, no. 1, pp. 335 - 348, Taylor and Francis Group; Taylor and Francis, Jan 1990.

The definitive version is available at https://doi.org/10.1080/03610919008812860

Department(s)

Mathematics and Statistics

Second Department

Geosciences and Geological and Petroleum Engineering

Comments

Air Force Office of Scientific Research, Grant AFOSR 84-0164

International Standard Serial Number (ISSN)

1532-4141; 0361-0918

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 Jan 1990