Some results for type I censored sampling from geometric distributions

✍ Scribed by Gaoxiong Gan; Lee J. Bain

• Book ID: 104340470
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 454 KB
• Volume: 67
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(97)00096-7

✦ Synopsis

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.