Minimum Variance Unbiased Estimators for Poisson Probabilities
作者:
GeraldJ. Glasser,
期刊:
Technometrics
(Taylor Available online 1962)
卷期:
Volume 4,
issue 3
页码: 409-418
ISSN:0040-1706
年代: 1962
DOI:10.1080/00401706.1962.10490021
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This paper considers the problem of estimating Poisson probabilities or relative frequencies and some extensions of that problem. It is shown how minimum variance unbiased estimators based on a simple random sample of 72 observations on a Poisson process may be easily developed. Variances of the estimators and estimators for their variances are derived. Comparisons with maximum likelihood estimators and with distribution-free relative frequency estimators are made and illustrated with two examples.
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