Confidence Intervals from One One Observation

Details Confidence Intervals from One One Observation Confidence Intervals from One One Observation

1995-04-12

arxiv.org/abs/bayes-an/9504001v1

Physics

Data Analysis, Statistics and Probability

LaTeX, 6 pages, 4 PostScript figures, MaxEnt94 macros. This paper will appear in the Proceedings of the 1994 Maximun Entropy a

Scientific paper

Robert Machol's surprising result, that from a single observation it is possible to have finite length confidence intervals for the parameters of location-scale models, is re-produced and extended. Two previously unpublished modifications are included. First, Herbert Robbins nonparametric confidence interval is obtained. Second, I introduce a technique for obtaining confidence intervals for the scale parameter of finite length in the logarithmic metric. Keywords: Theory/Foundations , Estimation, Prior Distributions, Non-parametrics & Semi-parametrics Geometry of Inference, Confidence Intervals, Location-Scale models

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