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Activity Number: 99
Type: Invited
Date/Time: Monday, August 1, 2016 : 8:30 AM to 10:20 AM
Sponsor: Business and Economic Statistics Section
Abstract #318318
Title: Fast Approximate Bayesian Analysis of Multivariate Count Time Series in a Marketing Application
Author(s): Nalini Ravishanker* and Volodyymyr Serhiyenko and Rajkumar Venkatesan
Companies: University of Connecticut and University of Connecticut and University of Virginia
Keywords: Bayesian estimation ; INLA ; Level correlated models ; marketing actions ; pharmaceutical firm ; time trend
Abstract:

In many application areas, there is increasing interest in modeling multivariate time series of counts on several subjects as a function of subject-specific and time-dependent covariates. We propose a level correlated model (LCM) to account for the association among the components of the response vector, as well as possible overdispersion. The flexible LCM framework allows us to combine different marginal count distributions and to build a hierarchical model for the vector time series of counts. We employ the Integrated Nested Laplace Approximation (INLA) for fast approximate Bayesian modeling using the R package INLA (r-inla.org). We illustrate by modeling the monthly prescription counts by physicians of a focal drug from a multinational pharmaceutical firm along with monthly counts of other competing drugs with sizable market share for the same therapeutic category. We discuss how clustering the physicians by the estimated time trend can effectively guide the firm's marketing actions.


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