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Minimum-volume confidence sets for normal linear regression models

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ABSTRACT In this article, we establish the minimum-volume confidence sets for normal linear regression models, extending the results in Zhang [Minimum volume confidence sets for parameters of normal distributions. Adv… Click to show full abstract

ABSTRACT In this article, we establish the minimum-volume confidence sets for normal linear regression models, extending the results in Zhang [Minimum volume confidence sets for parameters of normal distributions. Adv Stat Anal. 2017;101:309–320] on building the minimum-volume confidence sets for parameters of normal distributions. Compared with classical confidence sets, the proposed optimal confidence set is proved to have the smallest volume, for whatever confidence level, sample size and sample data.

Keywords: confidence sets; confidence; minimum volume; volume confidence; sets normal

Journal Title: Statistics
Year Published: 2018

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