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Activity Number: 681
Type: Topic Contributed
Date/Time: Thursday, August 8, 2013 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #309002
Title: Bayesian Multivariate Estimate of Global Temperature Trends
Author(s): Shawn Ni*+ and Dongchu Sun
Companies: Univ of Missouri - Columbia and University of Missouri
Keywords: smoothing spline ; vector ; Bayesian
Abstract:

In this paper, we consider a multivariate smoothing problem with correlated errors and correlated derivatives of the curves. Full Bayesian inference is introduced for the smoothing spline, the unknown covariance matrix of the errors and a symmetric smoothing parameter matrix. A prior is proposed on the symmetric smoothing parameter matrix, and Markov Chain Monte Carlo (MCMC) algorithms are developed for Bayesian computation. The proposed method is then applied to estimate the trends of abnormal surface temperature in ten geographical zones.


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