2001
DOI: 10.1111/1467-9868.00279
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Local Influence for Incomplete Data Models

Abstract: This paper proposes a method to assess the local in¯uence in a minor perturbation of a statistical model with incomplete data. The idea is to utilize Cook's approach to the conditional expectation of the complete-data log-likelihood function in the EM algorithm. It is shown that the method proposed produces analytic results that are very similar to those obtained from a classical local in¯uence approach based on the observed data likelihood function and has the potential to assess a variety of complicated mode… Show more

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Cited by 170 publications
(187 citation statements)
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“…For the sake of coping with those difficulties, some authors have considered alternatives to replace LD( ). For instance, Zhu et al proposed in [25] the Q-likelihood displacement and established an approach to assess local influence of statistical models with incomplete data, and Jung presented in [26] a quasi-likelihood displacement to obtain local influence analysis in generalized estimating equations. Inspired by [25,26], we define in this work a new penalized quasi-likelihood displacement and then adapt the local influence approach introduced by [9] to the QLNMWRE.…”
Section: Local Influencementioning
confidence: 99%
See 1 more Smart Citation
“…For the sake of coping with those difficulties, some authors have considered alternatives to replace LD( ). For instance, Zhu et al proposed in [25] the Q-likelihood displacement and established an approach to assess local influence of statistical models with incomplete data, and Jung presented in [26] a quasi-likelihood displacement to obtain local influence analysis in generalized estimating equations. Inspired by [25,26], we define in this work a new penalized quasi-likelihood displacement and then adapt the local influence approach introduced by [9] to the QLNMWRE.…”
Section: Local Influencementioning
confidence: 99%
“…Following the approach developed in [9,25,26], the normal curvature l of ( ) at 0 in the direction of some unit vector l can be used to summarize the local behavior of the penalized quasi-likelihood displacement. As shown in [9], the normal curvature l in the unit direction l(‖l‖ = 1) at 0 is given by…”
Section: Local Influencementioning
confidence: 99%
“…Zhu and Lee [30] and Zhu et al [31] proposed another approach to deal with the measurement of the distance betweenθ ω andθ . Instead of using the observed-data loglikelihood, their method is applied to the objective function that features in the expectation step of the EM algorithm.…”
Section: Standard Approachmentioning
confidence: 99%
“…Due to the difficulty of its application to complicated models, Zhu & Lee (2001) proposed an option with a shift function for…”
Section: Local Influencementioning
confidence: 99%
“…Solo, 35:1917Solo, 35: -1926Solo, 35: , 2011 Given the matrix B fQ , l and considering Ci = 2*|b ii | (6) where b ii are the elements of the main diagonal of matrix B fQ , l , we find graph C i according to order i, to analyze the existence of influential observations in the spatial dependence structure. Zhu & Lee (2001) stated that for C i , the i th point is influential in the spatial dependence structure if:…”
Section: Local Influencementioning
confidence: 99%