TITLE:
Fisher’s Fiducial Inference for Parameters of Uniform Distribution
AUTHORS:
Kefa Wu, Peiju Chang, Yaolan Ma, Tianxin Dong
KEYWORDS:
Fiducial Inference; Uniformly Distribution; Parameters; Fiducial Interval; Hypothesis Testing
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.4,
April
26,
2013
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.