PARAMETER ESTIMATION IN SPATIAL GENERALIZED LINEAR MIXED MODELS WITH SKEW GAUSSIAN RANDOM EFFECTS USING LAPLACE APPROXIMATION

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HOSSEINI SHOJAEI SEYED REZA; WAGHEI YADOLLAH; MOHAMMADZADEH MOHSEN

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Paper Information

Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2018 | Volume:14 | Issue:2 Page(s): 157-169

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Title

PARAMETER ESTIMATION IN SPATIAL GENERALIZED LINEAR MIXED MODELS WITH SKEW GAUSSIAN RANDOM EFFECTS USING LAPLACE APPROXIMATION

Author(s)

HOSSEINI SHOJAEI SEYED REZA | WAGHEI YADOLLAH | MOHAMMADZADEH MOHSEN | Issue Writer Certificate

Keywords

LAPLACE APPROXIMATION

MULTIVARIATE SKEW GAUSSIAN

RANDOM EFFECTS

SGLM

SPATIAL DATA

Abstract

Spatial generalized linear mixed models are used commonly for modelling non-Gaussian discrete spatial responses. We present an algorithm for parameter estimation of the models using LAPLACE APPROXIMATION of likelihood function. In these models, the spatial correlation structure of data is carried out by RANDOM EFFECTS or latent variables. In most spatial analysis, it is assumed that RANDOM EFFECTS have Gaussian distribution, but the assumption is questionable. This assumption is replaced in the present work, using a skew Gaussian distribution for the latent variables, which is more flexible and includes Gaussian distribution. We examine the proposed method using a real discrete data set.

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APA: Copy

HOSSEINI SHOJAEI, SEYED REZA, WAGHEI, YADOLLAH, & MOHAMMADZADEH, MOHSEN. (2018). PARAMETER ESTIMATION IN SPATIAL GENERALIZED LINEAR MIXED MODELS WITH SKEW GAUSSIAN RANDOM EFFECTS USING LAPLACE APPROXIMATION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 14(2), 157-169. SID. https://sid.ir/paper/706606/en

Vancouver: Copy

HOSSEINI SHOJAEI SEYED REZA, WAGHEI YADOLLAH, MOHAMMADZADEH MOHSEN. PARAMETER ESTIMATION IN SPATIAL GENERALIZED LINEAR MIXED MODELS WITH SKEW GAUSSIAN RANDOM EFFECTS USING LAPLACE APPROXIMATION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2018;14(2):157-169. Available from: https://sid.ir/paper/706606/en

IEEE: Copy

SEYED REZA HOSSEINI SHOJAEI, YADOLLAH WAGHEI, and MOHSEN MOHAMMADZADEH, “PARAMETER ESTIMATION IN SPATIAL GENERALIZED LINEAR MIXED MODELS WITH SKEW GAUSSIAN RANDOM EFFECTS USING LAPLACE APPROXIMATION,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 14, no. 2, pp. 157–169, 2018, [Online]. Available: https://sid.ir/paper/706606/en

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