Abstract
We consider the problem of fixed-width confidence interval estimation of mean μ of a normal distribution with unknown variance σ2 under an additional assumption that the unknown variance σ2 has a known lower bound . We deal with the two-stage procedure proposed by Mukhopadhyay and Duggan (1997) and provide “exact” third-order approximations to the average sample size and the coverage probability with guaranteeing exact consistency. It turns out that the exact third-order approximation gives explicit relations between the coverage probability and the lower bound σ L and that it is superior to the second-order approximation in accuracy via some simulation results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.