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On the Restricted Almost Unbiased Ridge Estimator in Logistic Regression
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作者 Nagarajah Varathan Pushpakanthie Wijekoon 《Open Journal of Statistics》 2016年第6期1076-1084,共10页
In this article, the restricted almost unbiased ridge logistic estimator (RAURLE) is proposed to estimate the parameter in a logistic regression model with exact linear re-strictions when there exists multicollinearit... In this article, the restricted almost unbiased ridge logistic estimator (RAURLE) is proposed to estimate the parameter in a logistic regression model with exact linear re-strictions when there exists multicollinearity among explanatory variables. The performance of the proposed estimator over the maximum likelihood estimator (MLE), ridge logistic estimator (RLE), almost unbiased ridge logistic estimator (AURLE), and restricted maximum likelihood estimator (RMLE) with respect to different ridge parameters is investigated through a simulation study in terms of scalar mean square error. 展开更多
关键词 MULTICOLlinearITY Ridge Estimator Almost Unbiased Ridge Logistic Estimator linear restrictions Scalar Mean Square Error
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Em Algorithm of the Truncated Multinormal Distribution with Linear Restriction on the Variables 被引量:1
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作者 Bai-suo JIN Jing-jing HAN +1 位作者 Shu DING Bai-qi MIAO 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2018年第1期155-162,共8页
A new expectation-maximization(EM) algorithm is proposed to estimate the parameters of the truncated multinormal distribution with linear restriction on the variables. Compared with the generalized method of moments... A new expectation-maximization(EM) algorithm is proposed to estimate the parameters of the truncated multinormal distribution with linear restriction on the variables. Compared with the generalized method of moments(GMM) estimation and the maximum likelihood estimation(MLE) for the truncated multivariate normal distribution, the EM algorithm features in fast calculation and high accuracy which are shown in the simulation results. For the real data of the national college entrance exams(NCEE), we estimate the distribution of the NCEE examinees' scores in Anhui, 2003, who were admitted to the university of science and technology of China(USTC). Based on our analysis, we have also given the ratio truncated by the NCEE admission line of USTC in Anhui, 2003. 展开更多
关键词 EM algorithm truncated multinormal distribution linear restriction national college entrance exams
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OPERATOR AND MATRIX REPRESENTATION FOR THE GENERALIZED INVERSE A_(T,S)^(2) 被引量:1
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作者 陈永林 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第1期114-120,共7页
This paper presents the matrix representation for extension of inverse of restriction of a linear operator to a subspace, on the basis of which we establish useful representations in operator and matrix form for the g... This paper presents the matrix representation for extension of inverse of restriction of a linear operator to a subspace, on the basis of which we establish useful representations in operator and matrix form for the generalized inverse A(T,S)^(2) and give some of their applications. 展开更多
关键词 Restriction of a linear operator to a subspace extension of a linear Operator to the whole space matrix representation the generalized inverse A_(T S)^(2) determinantal formula
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