Bias Correction in Generalized Nonlinear Models with Dispersion Covariates

GAUSS M. CORDEIRO; MARGARETH C. TOYAMA UDO

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Bias Correction in Generalized Nonlinear Models with Dispersion Covariates

机译：具有色散协变量的广义非线性模型中的偏差校正

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摘要

We derive general formulae for the second-order biases of maximum likelihood estimates of the parameters in generalized nonlinear models with dispersion covariates. This result generalizes previous work by Botter and Cordeiro (1998) and Cordeiro and McCullagh (1991). The practical use of such bias corrections is illustrated in a simulation study.

机译：我们推导出一般公式的二阶偏置的最大似然估计，具有色散协变量的广义非线性模型中的参数的最大偏见估计。该结果通过Botter和Cordeiro（1998）和Cordeiro和McCullagh（1991）概括了以前的工作。这种偏置校正的实际使用在仿真研究中示出。

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《Communications in Statistics. A, Theory and Methods》 |2008年第15期|p.2219-2225|共7页
作者
GAUSS M. CORDEIRO; MARGARETH C. TOYAMA UDO;
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作者单位

Departamento de Estatistica e Informatica Universidade Federal Rural de Pernambuco Recife Brazil;

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正文语种 eng
中图分类统计学;
关键词
bias correction; dispersion parameter; generalized nonlinear model; maximum likelihood; precision parameter;

机译：偏压;色散参数;广义非线性模型;最大可能性;精确参数;

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1. Bias-corrected estimators for dispersion models with dispersion covariates [J] . Simas A.B., Rocha A.V., Barreto-Souza W. Journal of Statistical Planning and Inference . 2011,第9期

机译：具有色散协变量的色散模型的偏差校正估计量
2. Bias Correction Methods for Misclassified Covariates in the Cox Model: Comparison of Five Correction Methods by Simulation and Data Analysis [J] . HEEJUNG BANG, YA-LIN CHIU, JAY S. KAUFMAN, Journal of statistical theory and practice . 2013,第2期

机译：Cox模型中分类不正确的协变量的偏差校正方法：通过仿真和数据分析比较五种校正方法
3. An approximate method for generalized linear and nonlinear mixed effects models with a mechanistic nonlinear covariate measurement error model [J] . Zhang Hongbin, Wu Lang Metrika: International Journal for Theoretical and Applied Statistics . 2019,第4期

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4. BIAS CORRECTION FOR THE SHAPE PARAMETER OF WEIBULL DISTRIBUTION IN GENERALIZED LINEAR MODEL [C] . Huairui Guo, Adamantios Mettas ISSAT international conference reliability and quality in design . 2010

机译：广义线性模型中威布尔分布形状参数的偏差校正
5. Estimation for generalized linear models when covariates are subject-specific parameters in a mixed model for longitudinal measurements. [D] . Li, Erning. 2004

机译：当协变量是纵向测量的混合模型中特定对象的参数时，对广义线性模型的估计。
6. Estimation and Inference in Generalized Additive Coefficient Models for Nonlinear Interactions with High-Dimensional Covariates [O] . MA Shujie, Raymond J. Carroll, Hua Liang, -1

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7. Estimation and inference in generalized additive coefficient models for nonlinear interactions with high-dimensional covariates [O] . Ma, Shujie, Carroll, Raymond J., Liang, Hua, 2015

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Bias Correction in Generalized Nonlinear Models with Dispersion Covariates

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