Econometric forecasting using linear regression and belief functions

© Springer International Publishing Switzerland 2014. We describe a method for quantifying the uncertainty in statistical forecasts using belief functions. This method consists in two steps. In the estimation step, uncertainty on the model parameters is described by a consonant belief function defin...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Orakanya Kanjanatarakul, Philai Lertpongpiroon, Sombat Singkharat, Songsak Sriboonchitta
التنسيق: Book Series
منشور في: 2018
الموضوعات:
الوصول للمادة أونلاين:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84921805501&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/53430
الوسوم: إضافة وسم
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المؤسسة: Chiang Mai University
الوصف
الملخص:© Springer International Publishing Switzerland 2014. We describe a method for quantifying the uncertainty in statistical forecasts using belief functions. This method consists in two steps. In the estimation step, uncertainty on the model parameters is described by a consonant belief function defined from the relative likelihood function. In the prediction step, parameter uncertainty is propagated through an equation linking the quantity of interest to the parameter and an auxiliary variable with known distribution. This method allows us to compute a predictive belief function that is an alternative to both prediction intervals and Bayesian posterior predictive distributions. In this paper, the feasibility of this approach is demonstrated using a model used extensively in econometrics: linear regression with first order autoregressive errors. Results with macroeconomic data are presented.