Somes Results for Type I Censored Sampling from Geometric Distributions

Author

Gaoxiong Gan
Lee J. Bain, Missouri University of Science and TechnologyFollow

Abstract

This paper gives the likelihood function for a Type I censored sample from the geometric distribution with parameter p, and the maximum likelihood estimator for p. Exact and asymptotic sampling distributions of joint sufficient statistics for p are derived. Such distributional results make it possible to develop tests or confidence intervals based on discrete censored data, which are not available now in the literature. Neyman-Pearson tests for p are developed. Examples are given to illustrate these results. © 1998 Elsevier Science B.V. All rights reserved.

Recommended Citation

G. Gan and L. J. Bain, "Somes Results for Type I Censored Sampling from Geometric Distributions," Journal of Statistical Planning and Inference, vol. 67, no. 1, pp. 85 - 97, Elsevier, Mar 1998.

The definitive version is available at https://doi.org/10.1016/s0378-3758(97)00096-7

Department(s)

Mathematics and Statistics

Comments

University of Missouri, Grant R-3-42367

Keywords and Phrases

Maximum likelihood estimation; Neyman-Pearson test; Sufficient statistics; Type I censored sampling

International Standard Serial Number (ISSN)

0378-3758

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Elsevier, All rights reserved.

Publication Date

16 Mar 1998