A Unified Approach for Constructing Confidence Intervals and Hypothesis Tests Using h-function
Statistics Theory
2021-08-27 v1 Statistics Theory
Abstract
We introduce a general method, named the h-function method, to unify the constructions of level-alpha exact test and 1-alpha exact confidence interval. Using this method, any confidence interval is improved as follows: i) an approximate interval, including a point estimator, is modified to an exact interval; ii) an exact interval is refined to be an interval that is a subset of the previous one. Two real datasets are used to illustrate the method.
Cite
@article{arxiv.2108.11578,
title = {A Unified Approach for Constructing Confidence Intervals and Hypothesis Tests Using h-function},
author = {Weizhen Wang},
journal= {arXiv preprint arXiv:2108.11578},
year = {2021}
}
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37 pages