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:: Volume 10, Issue 2 (3-2014) ::
JSRI 2014, 10(2): 163-179 Back to browse issues page
Spatial Latent Gaussian Models: Application to House Prices Data in Tehran City
Z. Ghayoumi, M. Mohammadzadeh *, K. Gholizadeh
, mohsen_m@modares.ac.ir
Abstract:   (2292 Views)

Latent Gaussian models are flexible models that are applied in several statistical applications. When posterior marginals or full conditional distributions in hierarchical Bayesian inference from these models are not available in closed form, Markov chain Monte Carlo methods are implemented. The component dependence of the latent field usually causes increase in computational time and divergence of algorithms. In this paper, an integrated nested Laplace approximation is used to solve these problems, in which the Laplace approximation and the numerical integration methods are combined in an efficient way so that hard simulations are replaced by fast computation and accurate approximation. Finally the relationship between house price data, floor size, age, number of rooms, building frame, type of proprietorship and facilities such as  electricity, landline, water, gas, central heating and cooling system, kitchen goods, bath and toilet are modeled by using spatial latent Gaussian models. The fitted model can be used for predicting the house price in Tehran city.

Keywords: : Latent Gaussian model, Gaussian Markov random field, integrated nested Laplace approximation, Bayesian approach.
Full-Text [PDF 329 kb]   (530 Downloads)    
Type of Study: Research | Subject: General
Accepted: 2015/12/10 | Published: 2016/09/14
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Ghayoumi Z, Mohammadzadeh M, Gholizadeh K. Spatial Latent Gaussian Models: Application to House Prices Data in Tehran City. JSRI. 2014; 10 (2) :163-179
URL: http://jsri.srtc.ac.ir/article-1-47-en.html


Volume 10, Issue 2 (3-2014) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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