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- W644971327 abstract "In this research we propose a Bayesian algorithm to estimate the spatial time series model proposednby Rambaldi and Rao (2011) to model property sale prices. The proposed Bayesian algorithm is anMetropolis-Hastings in Gibbs sampler algorithm. Bayesian algorithms were available in the literaturento estimate state space models (as a pure time series model) and spatial models (observationsnare pooled over the time dimension); however, to our knowledge this is the first algorithm whichncombines both dimensions (space and time) in a discrete time parametric model. One of the mostnsignificant contributions of this methodology is that the Bayesian approach captures all the uncertaintynassociated with the estimation of the state vector (property hedonic characteristics), whereasnin a Classical approach, in regards to the estimation of state-space models, the uncertainty in thenestimation of subset parameters in the model is ignored. Underestimating the uncertainty leads toninaccurate inferences about the population. The proposed algorithm is applied to data collectednfor a coastal area of South East Queensland. A number of prior distributions for the hyperparametersn(variances of error terms and a correlation parameter) are studied using the data withnthe aim to choose the most appropriate prior. Our results show that a vaguely inverted Gammanprior with small scale and shape parameters seems to produce a much more compact posterior fornthese hyperparameters in comparison to the other priors studied in this thesis. Furthermore, thenresults provide strong evidence that the Classical approach underestimates the uncertainty in thenestimation of the parameters of the model, leading to very narrow confidence interval estimatesnthat are likely to produce misleading inferences.n" @default.
- W644971327 created "2016-06-24" @default.
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- W644971327 date "2012-11-01" @default.
- W644971327 modified "2023-09-26" @default.
- W644971327 title "Bayesian estimation of a hedonic spatial temporal model for residential housing" @default.
- W644971327 hasPublicationYear "2012" @default.
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