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Activity Number: 270 - Bayesian Data Science and Analytics
Type: Topic Contributed
Date/Time: Tuesday, August 4, 2020 : 1:00 PM to 2:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract #312696
Title: Sequential Bayesian Updating of Time Series of Proportions
Author(s): Refik Soyer*
Companies: George Washington University
Keywords: Linear Bayes; NonGaussian Time Series; Beta distribution; Proportions
Abstract:

Time series of proportions arise in many applications in economics, finance and marketing. Bayesian analysis of such time series poses computational challenges due to the lack of analytical forms for sequential Bayesian updating and requires the use of Markov chain Monte Carlo (MCMC) methods. MCMC methods are not computationally efficient for sequential analysis and thus, are not attractive for real-time online processing of time series of proportions. We propose a dynamic general linear model setup for analysis of proportions and develop linear Bayesian inference using a class of conjugate priors. We illustrate the implementation of our approach using actual marketing data and compare our results with previous findings.


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