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A Skew-Normal Spatial Simultaneous Autoregressive Model and its Implementation

Sanjeeva Kumar Jha () and Ningthoukhongjam Vikimchandra Singh ()
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Sanjeeva Kumar Jha: North-Eastern Hill University
Ningthoukhongjam Vikimchandra Singh: North-Eastern Hill University

Sankhya A: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 12, 306-323

Abstract: Abstract Abstract: We propose generalization of the spatial Simultaneous Autoregressive (SAR) model on a lattice towards modelling for asymmetry. Under the assumption of skew-normal error structure, expression for density and characteristic function for the induced distribution of response are obtained. Full-likelihood based implementation of the proposed model to a real data set is performed using Differential Evolution (DE). The relevant results are reported and compared with the results from existing models.

Keywords: Spatial SAR models; Skew-normal distribution; Maximum likelihood; Differential evolution.; Primary 62H11; Secondary 62M30 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13171-021-00246-3

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