caa a22 4500 475826523 CHVBK 20180406123830.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1023/A:1004128814284 doi (NATIONALLICENCE)springer-10.1023/A:1004128814284 Rousseau Judith Laboratoire de Statistique, CREST, Timbre J340, 92241, Malakoff Cedex, France and aut Coverage Properties of One-Sided Intervals in the Discrete Case and Application to Matching Priors [Elektronische Daten] [Judith Rousseau] We consider asymptotic coverage properties of one-sided posterior confidence intervals for discrete distributions, with a unidimensional parameter of interest and a nuisance parameter of arbitrary dimension. In this case, no higher order asymptotic expansion of the frequentist coverage for these intervals is established, unless some randomization is added. We study here the existence of such frequentist expansions and propose simple continuity corrections based on a uniform random vector. This helps in determining a family of matching priors for one sided intervals in the discrete case. The Institute of Statistical Mathematics, 2000 Asymptotic expansion nationallicence credible region nationallicence Edgeworth expansion nationallicence frequentist coverage nationallicence lattice distribution nationallicence posterior coverage nationallicence Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/1(2000-03-01), 28-42 0020-3157 52:1<28 2000 52 10463 https://doi.org/10.1023/A:1004128814284 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004128814284 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rousseau Judith Laboratoire de Statistique, CREST, Timbre J340, 92241, Malakoff Cedex, France and aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/1(2000-03-01), 28-42 0020-3157 52:1<28 2000 52 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer