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Marginal maximum likelihood estimation of SAR models with missing data

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  • Suesse, Thomas

Abstract

Maximum likelihood (ML) estimation of simultaneous autocorrelation models is well known. Under the presence of missing data, estimation is not straightforward, due to the implied dependence of all units. The EM algorithm is the standard approach to accomplish ML estimation in this case. An alternative approach is considered, the method of maximising the marginal likelihood. At first glance the method is computationally complex due to inversion of large matrices that are of the same size as the complete data, but these can be avoided, leading to an algorithm that is usually much faster than the EM algorithm and without typical EM convergence issues. Another approximate method is also proposed that serves as an alternative, for example when the contiguity matrix is dense. The methods are illustrated using a well known data set on house prices with 25,357 units.

Suggested Citation

  • Suesse, Thomas, 2018. "Marginal maximum likelihood estimation of SAR models with missing data," Computational Statistics & Data Analysis, Elsevier, vol. 120(C), pages 98-110.
    • Handle: RePEc:eee:csdana:v:120:y:2018:i:c:p:98-110
    DOI: 10.1016/j.csda.2017.11.004
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    References listed on IDEAS

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    Cited by:

    1. Takafumi Kato, 2020. "Likelihood-based strategies for estimating unknown parameters and predicting missing data in the simultaneous autoregressive model," Journal of Geographical Systems, Springer, vol. 22(1), pages 143-176, January.
    2. Luo, Guowang & Wu, Mixia & Xu, Liwen, 2021. "IPW-based robust estimation of the SAR model with missing data," Statistics & Probability Letters, Elsevier, vol. 172(C).
    3. Sariffuddin, S. & Samsura, D. Ary A. & van der Krabben, Erwin & Setiyono, Budi & Pradoto, Wisnu, 2024. "Distressed property and spillover effect: A study of property price response to coastal flood risk," Land Use Policy, Elsevier, vol. 147(C).
    4. Anjana Wijayawardhana & David Gunawan & Thomas Suesse, 2024. "A Marginal Maximum Likelihood Approach for Hierarchical Simultaneous Autoregressive Models with Missing Data," Mathematics, MDPI, vol. 12(23), pages 1-16, December.
    5. Roger Bivand & Giovanni Millo & Gianfranco Piras, 2021. "A Review of Software for Spatial Econometrics in R," Mathematics, MDPI, vol. 9(11), pages 1-40, June.

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