文章基本信息

标题：On Predictive Distribution of K-Inﬂated Poisson Models with and Without Additional Information
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作者：Abdolnasser Sadeghkhani ; S. Ejaz Ahmed
期刊名称：Revista Colombiana de Estadística
印刷版ISSN：2389-8976
出版年度：2020
卷号：43
期号：2
页码：173-182
DOI：10.15446/rce.v43n2.81979
出版社：Universidad Nacional de Colombia, sede Bogotá
摘要：This paper addresses diﬀerent approaches in ﬁnding the Bayesian predictive distribution of a random variable from a Poisson model that can handle count data with an inﬂated value of K ∈ N, known as the KIP model. We explore how we can use other source of additional information to ﬁnd such an estimator. More speciﬁcally, we ﬁnd a Bayesian estimator of future density of random variable Y1 , based on observable X1 from the K1 IP(p1 , λ1 ) model, with and without assuming that there exists another random variable X2 , from the K2 IP(p2 , λ2 ) model, independent of X1 , provided λ1 ≥ λ2 , and compare their performance using simulation method.
关键词：Modelo KIP;Estadísticas bayesianas;Distribución predictiva bayesiana;Simulación