 Phase-I Design Scheme for -chart Based on Posterior DistributionAamir Saghir Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 3, 644-655 Abstract: This article develops a Phase I design structure of X‾$\bar X $ -Chart, namely Bayesian X‾$\bar X $ -Chart, based on Bayesian (posterior distribution) framework assuming the normality of the quality characteristic to incorporate parameter uncertainty. Our approach consists of two stages: (i) construction of the control limits for X‾$\bar X $ -Chart based on posterior distribution of unknown mean μ and (ii) evaluation of the performance of the proposed design structure. The proposed design structure of X‾$\bar X $ -Chart is compared with the frequents design structure of X‾$\bar X $ - Chart in terms of (i) width of the control region and (ii) power of detecting a shift in the location parameter of the process. It has been observed that the proposed design structure of X‾$\bar X $ -Chart is performs better than the usual design structure to detecting shifts in the parameter of the process when the prior mean is close to the unknown target value. Date: 2015 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:44:y:2015:i:3:p:644-655 Ordering information: This journal article can be ordered from DOI: 10.1080/03610926.2012.752846 Access Statistics for this article Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals |
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