Adjusted quasi-maximum likelihood estimator for mixed regressive, spatial autoregressive model and its small sample bias

Dalei Yu, Peng Bai and Chang Ding

Computational Statistics & Data Analysis, 2015, vol. 87, issue C, 116-135

Abstract: Under flexible distributional assumptions, the adjusted quasi-maximum likelihood (adqml) estimator for mixed regressive, spatial autoregressive model is studied in this paper. The proposed estimation method accommodates the extra uncertainty introduced by the unknown regression coefficients. Moreover, the explicit expressions of theoretical/feasible second-order-bias of the adqml estimator are derived and the difference between them is investigated. The feasible second-order-bias corrected adqml estimator is then designed accordingly for small sample setting. Extensive simulation studies are conducted under both normal and non-normal situations, showing that the quasi-maximum likelihood (qml) estimator suffers from large bias when the sample size is relatively small in comparison to the number of regression coefficients and such bias can be effectively eliminated by the proposed adqml estimation method. The use of the method is then demonstrated in the analysis of the Neighborhood Crimes Data.

Keywords: Adjusted quasi-maximum likelihood estimator; Degrees of freedom loss; Mixed regressive; Spatial autoregressive; Small sample bias (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:87:y:2015:i:c:p:116-135

DOI: 10.1016/j.csda.2015.02.003

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