Some results for type I censored sampling from geometric distributions |
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| Affiliation: | 1. Department of Biomedical Sciences, Diabetes Institute, Heritage College of Osteopathic Medicine, Ohio University, Athens, OH, USA;2. Department of Pathology and Laboratory Medicine, Metabolic Diseases Institute, University of Cincinnati, Cincinnati, OH, USA;3. Department of Molecular Biology and Genetics, Cornell University, Ithaca, NY, USA |
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| 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. |
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