Experiment Length And Sample Size For Negative Binomial Sampling

Author

Wei Kei Shiue
Lee J. Bain, Missouri University of Science and TechnologyFollow

Abstract

The negative binomial distribution is a compound Poisson distribution which is useful in life-testing and other applications. The length of experiment required to achieve a specified power when testing the average failure rate is considered, and a closed form approximation is provided. The more general question of determining the optimum combination of sample size and experiment length to minimize experimental cost is also considered, and an approximate closed form solution is given. These results would also be useful in other applications with negative binomial sampling. © 1982 Gordon and Breach Science Publishers, Inc.

Recommended Citation

W. K. Shiue and L. J. Bain, "Experiment Length And Sample Size For Negative Binomial Sampling," Journal of Statistical Computation and Simulation, vol. 16, no. 1, pp. 57 - 64, Taylor and Francis Group; Taylor and Francis, Jan 1982.

The definitive version is available at https://doi.org/10.1080/00949658208810606

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1563-5163; 0094-9655

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 1982