RT journal article T1 On a New Class of Multivariate Prior Distributions: Theory and Application in Reliability A1 Ruggeri, Fabrizio A1 Sánchez Sánchez, Marta A1 Sordo Díaz, Miguel Ángel A1 Suárez Llorens, Alfonso A2 Estadística e Investigación Operativa K1 robust Bayesian analysis K1 Bayesian sensitivity K1 class of priors K1 stochastic orders K1 multivariate total positivity K1 weighted distributions AB n the context of robust Bayesian analysis for multiparameter distributions, we introduce a new class of priors based on stochastic orders, multivariate total positivity of order 2 (MTP2) and weighted distributions. We provide the new definition, its interpretation and the main properties and we also study the relationship with other classical classes of prior beliefs. We also consider the Hellinger metric and the Kullback-Leibler divergence to measure the uncertainty induced by such a class, as well as its effect on the posterior distribution. Finally, we conclude the paper with a real example about train door reliability. PB INT SOC BAYESIAN ANALYSIS SN 1931-6690 YR 2021 FD 2021-03 LK http://hdl.handle.net/10498/24507 UL http://hdl.handle.net/10498/24507 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 21-sep-2026