1. Fisher’s Fiducial Inference for Parameters of Uniform Distribution
- Author
-
Kefa Wu, Yaolan Ma, Peiju Chang, and Tianxin Dong
- Subjects
Uniform distribution (continuous) ,Distribution (mathematics) ,Statistics ,Fiducial inference ,Estimator ,General Medicine ,Interval (mathematics) ,Fiducial marker ,Algorithm ,Confidence interval ,Statistical hypothesis testing ,Mathematics - Abstract
Fisher’s Fiducial Inference for the parameters of a totality uniformly distributed on [α, β] is discussed. The corresponding fiducial distributions are derived. The maximum fiducial estimators, fiducial median estimators and fiducial expect estimators of α and β are got. The problems about the fiducial interval, fiducial region and hypothesis testing are discussed. An example which showed that Neyman-Pearson’s confidence interval has some place to be improved is illustrated. An idea about deriving fiducial distribution is proposed.
- Published
- 2013