Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach

Alassane Aw; Emmanuel Nicolas Cabral

doi:doi:10.11648/j.ajtas.20190801.11

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Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach

Alassane Aw, Emmanuel Nicolas Cabral

Published in American Journal of Theoretical and Applied Statistics (Volume 8, Issue 1)

Received: 16 December 2018 Accepted: 5 January 2019 Published: 24 January 2019

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Abstract

Spatial Durbin Model (SDM) is one of the family of spatial autoregressive models. In this paper, we use the SDM model to determine the spatial spillovers of divorce in Senegal. The variable of interest is the rate of divorce and the explanatory variables are the rate of illiteracy and the average age at marriage in Senegal. The model parameters are estimated by the maximum likelihood technique. The estimation of the autoregressive parameter is performed using numerical optimization of the concentrated log-likelihood of the SDM model. The results obtained showed that the rate of illiteracy and the average age at marriage have a real impact on the rate of divorce in Senegal. We also note that the departments of the country that are closed are more similar than the distant departments in relation to the divorce data. Direct and indirect effects were used to measure changes in the rate of divorce as a result of changes in the rate of illiteracy and the average age at marriage.

Published in	American Journal of Theoretical and Applied Statistics (Volume 8, Issue 1)
DOI	10.11648/j.ajtas.20190801.11
Page(s)	1-6
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Spatial Durbin Model, Maximum Likelihood Estimation, Spatial Spillovers, Impact Measures

References

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[18]	Bivand R. S., Pebesma E., Gomez-Rubio V. (2013). Applied spatial data analysis with R, Second edition. Springer, NY.

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Alassane Aw, Emmanuel Nicolas Cabral. (2019). Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach. American Journal of Theoretical and Applied Statistics, 8(1), 1-6. https://doi.org/10.11648/j.ajtas.20190801.11

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ACS Style

Alassane Aw; Emmanuel Nicolas Cabral. Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach. Am. J. Theor. Appl. Stat. 2019, 8(1), 1-6. doi: 10.11648/j.ajtas.20190801.11

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AMA Style

Alassane Aw, Emmanuel Nicolas Cabral. Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach. Am J Theor Appl Stat. 2019;8(1):1-6. doi: 10.11648/j.ajtas.20190801.11

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@article{10.11648/j.ajtas.20190801.11,
  author = {Alassane Aw and Emmanuel Nicolas Cabral},
  title = {Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {8},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.ajtas.20190801.11},
  url = {https://doi.org/10.11648/j.ajtas.20190801.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20190801.11},
  abstract = {Spatial Durbin Model (SDM) is one of the family of spatial autoregressive models. In this paper, we use the SDM model to determine the spatial spillovers of divorce in Senegal. The variable of interest is the rate of divorce and the explanatory variables are the rate of illiteracy and the average age at marriage in Senegal. The model parameters are estimated by the maximum likelihood technique. The estimation of the autoregressive parameter is performed using numerical optimization of the concentrated log-likelihood of the SDM model. The results obtained showed that the rate of illiteracy and the average age at marriage have a real impact on the rate of divorce in Senegal. We also note that the departments of the country that are closed are more similar than the distant departments in relation to the divorce data. Direct and indirect effects were used to measure changes in the rate of divorce as a result of changes in the rate of illiteracy and the average age at marriage.},
 year = {2019}
}

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TY  - JOUR
T1  - Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach
AU  - Alassane Aw
AU  - Emmanuel Nicolas Cabral
Y1  - 2019/01/24
PY  - 2019
N1  - https://doi.org/10.11648/j.ajtas.20190801.11
DO  - 10.11648/j.ajtas.20190801.11
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 1
EP  - 6
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20190801.11
AB  - Spatial Durbin Model (SDM) is one of the family of spatial autoregressive models. In this paper, we use the SDM model to determine the spatial spillovers of divorce in Senegal. The variable of interest is the rate of divorce and the explanatory variables are the rate of illiteracy and the average age at marriage in Senegal. The model parameters are estimated by the maximum likelihood technique. The estimation of the autoregressive parameter is performed using numerical optimization of the concentrated log-likelihood of the SDM model. The results obtained showed that the rate of illiteracy and the average age at marriage have a real impact on the rate of divorce in Senegal. We also note that the departments of the country that are closed are more similar than the distant departments in relation to the divorce data. Direct and indirect effects were used to measure changes in the rate of divorce as a result of changes in the rate of illiteracy and the average age at marriage.
VL  - 8
IS  - 1
ER  -

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Author Information

Alassane Aw

Laboratory of Mathematics and Applications, Assane Seck University of Ziguinchor, Ziguinchor, Senegal
Emmanuel Nicolas Cabral

Laboratory of Mathematics and Applications, Assane Seck University of Ziguinchor, Ziguinchor, Senegal

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APA Style

Alassane Aw, Emmanuel Nicolas Cabral. (2019). Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach. American Journal of Theoretical and Applied Statistics, 8(1), 1-6. https://doi.org/10.11648/j.ajtas.20190801.11

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ACS Style

Alassane Aw; Emmanuel Nicolas Cabral. Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach. Am. J. Theor. Appl. Stat. 2019, 8(1), 1-6. doi: 10.11648/j.ajtas.20190801.11

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AMA Style

Alassane Aw, Emmanuel Nicolas Cabral. Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach. Am J Theor Appl Stat. 2019;8(1):1-6. doi: 10.11648/j.ajtas.20190801.11

Copy | Download

@article{10.11648/j.ajtas.20190801.11,
  author = {Alassane Aw and Emmanuel Nicolas Cabral},
  title = {Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {8},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.ajtas.20190801.11},
  url = {https://doi.org/10.11648/j.ajtas.20190801.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20190801.11},
  abstract = {Spatial Durbin Model (SDM) is one of the family of spatial autoregressive models. In this paper, we use the SDM model to determine the spatial spillovers of divorce in Senegal. The variable of interest is the rate of divorce and the explanatory variables are the rate of illiteracy and the average age at marriage in Senegal. The model parameters are estimated by the maximum likelihood technique. The estimation of the autoregressive parameter is performed using numerical optimization of the concentrated log-likelihood of the SDM model. The results obtained showed that the rate of illiteracy and the average age at marriage have a real impact on the rate of divorce in Senegal. We also note that the departments of the country that are closed are more similar than the distant departments in relation to the divorce data. Direct and indirect effects were used to measure changes in the rate of divorce as a result of changes in the rate of illiteracy and the average age at marriage.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Modeling Spatial Spillovers of Divorce in Senegal Using Spatial Durbin Model: A Maximum Likelihood Estimation Approach
AU  - Alassane Aw
AU  - Emmanuel Nicolas Cabral
Y1  - 2019/01/24
PY  - 2019
N1  - https://doi.org/10.11648/j.ajtas.20190801.11
DO  - 10.11648/j.ajtas.20190801.11
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 1
EP  - 6
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20190801.11
AB  - Spatial Durbin Model (SDM) is one of the family of spatial autoregressive models. In this paper, we use the SDM model to determine the spatial spillovers of divorce in Senegal. The variable of interest is the rate of divorce and the explanatory variables are the rate of illiteracy and the average age at marriage in Senegal. The model parameters are estimated by the maximum likelihood technique. The estimation of the autoregressive parameter is performed using numerical optimization of the concentrated log-likelihood of the SDM model. The results obtained showed that the rate of illiteracy and the average age at marriage have a real impact on the rate of divorce in Senegal. We also note that the departments of the country that are closed are more similar than the distant departments in relation to the divorce data. Direct and indirect effects were used to measure changes in the rate of divorce as a result of changes in the rate of illiteracy and the average age at marriage.
VL  - 8
IS  - 1
ER  -

Copy | Download