Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis

The main aim of this paper is to perform sensitivity analysis to the specification of prior distributions in a Bayesian analysis setting of STAR models. To achieve this aim, the joint posterior distribution of model order, coefficient, and implicit parameters in the logistic STAR model is first bein...

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Main Authors: Livingston, G., Nur, Darfiana
Format: Journal Article
Language:English
Published: TAYLOR & FRANCIS INC 2017
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/79612
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author Livingston, G.
Nur, Darfiana
author_facet Livingston, G.
Nur, Darfiana
author_sort Livingston, G.
building Curtin Institutional Repository
collection Online Access
description The main aim of this paper is to perform sensitivity analysis to the specification of prior distributions in a Bayesian analysis setting of STAR models. To achieve this aim, the joint posterior distribution of model order, coefficient, and implicit parameters in the logistic STAR model is first being presented. The conditional posterior distributions are then shown, followed by the design of a posterior simulator using a combination of Metropolis-Hastings, Gibbs Sampler, RJMCMC, and Multiple Try Metropolis algorithms, respectively. Following this, simulation studies and a case study on the prior sensitivity for the implicit parameters are being detailed at the end.
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institution Curtin University Malaysia
institution_category Local University
language English
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publishDate 2017
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spelling curtin-20.500.11937-796122020-06-15T00:27:24Z Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis Livingston, G. Nur, Darfiana Science & Technology Physical Sciences Statistics & Probability Mathematics Gibbs Sampler algorithm Metropolis-Hastings algorithm Multiple Try Metropolis algorithm Prior sensitivity analysis Reversible Jump MCMC algorithm Smooth Transition Autoregressive (STAR) model 62F15 62M10 65C20 65C40 68U20 TIME-SERIES VARIABLE SELECTION The main aim of this paper is to perform sensitivity analysis to the specification of prior distributions in a Bayesian analysis setting of STAR models. To achieve this aim, the joint posterior distribution of model order, coefficient, and implicit parameters in the logistic STAR model is first being presented. The conditional posterior distributions are then shown, followed by the design of a posterior simulator using a combination of Metropolis-Hastings, Gibbs Sampler, RJMCMC, and Multiple Try Metropolis algorithms, respectively. Following this, simulation studies and a case study on the prior sensitivity for the implicit parameters are being detailed at the end. 2017 Journal Article http://hdl.handle.net/20.500.11937/79612 10.1080/03610918.2016.1161794 English TAYLOR & FRANCIS INC restricted
spellingShingle Science & Technology
Physical Sciences
Statistics & Probability
Mathematics
Gibbs Sampler algorithm
Metropolis-Hastings algorithm
Multiple Try Metropolis algorithm
Prior sensitivity analysis
Reversible Jump MCMC algorithm
Smooth Transition Autoregressive (STAR) model
62F15
62M10
65C20
65C40
68U20
TIME-SERIES
VARIABLE SELECTION
Livingston, G.
Nur, Darfiana
Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis
title Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis
title_full Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis
title_fullStr Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis
title_full_unstemmed Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis
title_short Bayesian inference for smooth transition autoregressive (STAR) model: A prior sensitivity analysis
title_sort bayesian inference for smooth transition autoregressive (star) model: a prior sensitivity analysis
topic Science & Technology
Physical Sciences
Statistics & Probability
Mathematics
Gibbs Sampler algorithm
Metropolis-Hastings algorithm
Multiple Try Metropolis algorithm
Prior sensitivity analysis
Reversible Jump MCMC algorithm
Smooth Transition Autoregressive (STAR) model
62F15
62M10
65C20
65C40
68U20
TIME-SERIES
VARIABLE SELECTION
url http://hdl.handle.net/20.500.11937/79612