Asymptotic properties of HPD regions in the discrete case

[摘要] This paper obtains asymptotic expansions of the frequentist distributions of modified likelihood ratio statistics when the observations are discrete. An upper bound of the uncertainty due to the discrete nature of the observations is obtained, which is slightly larger than Yarnold's result (obtained in the case of elliptic confidence regions). Higher order results are also derived from continuity corrections. They are instrumental in the determination of matching priors for HPD regions to the orders o(n(-1)) and O(n(-3/2)). (C) 2002 Elsevier Science (USA).

[发布日期] 2002-10-01

[关键词] asymptotic expansion;Bartlett correction;continuity correction;lattice distribution;likelihood ratio statistic