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ASYMPTOTIC NORMALITY OF PARAMETERSESTIMATION IN EV MODEL WITH REPLICATEDOBSERVATIONS 被引量:3
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作者 张三国 陈希孺 《Acta Mathematica Scientia》 SCIE CSCD 2002年第1期107-114,共8页
This paper based on the essay [1], studies in case that replicated observations are available in some experimental points., the parameters estimation of one dimensional linear errors-in-variables (EV) models. Asymptot... This paper based on the essay [1], studies in case that replicated observations are available in some experimental points., the parameters estimation of one dimensional linear errors-in-variables (EV) models. Asymptotic normality is established. 展开更多
关键词 errors-in-variables model asymptotic normality replicated observations
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Consistency of modified MLE in EV model with replicated observations 被引量:2
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作者 张三国 陈希孺 《Science China Mathematics》 SCIE 2001年第3期304-310,共7页
In case that replicated observations are available in someexperimental points, the parameters estimation of one-dimensional linear errors-in-variables (EV) models was studied. Weak and strong consistency was proved un... In case that replicated observations are available in someexperimental points, the parameters estimation of one-dimensional linear errors-in-variables (EV) models was studied. Weak and strong consistency was proved under mild conditions. 展开更多
关键词 errors-in-variables (EV) model CONSISTENCY replicated observations
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A Statistical Comparison Method of the Differences among Single Points for Linear Dynamic Experimental Data
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作者 XUPeng-yun XUChun-tao 《Journal of Northeast Agricultural University(English Edition)》 CAS 2000年第2期109-112,共4页
The experimental random error and desired valuse of non observed points in dynamic indexes were estimated by establishing the linear regression equations about variety regulations of dynamic indexes.The methods for d... The experimental random error and desired valuse of non observed points in dynamic indexes were estimated by establishing the linear regression equations about variety regulations of dynamic indexes.The methods for difference significant test among different treatments using dynamic point as indexes were presented without setting the replication on each dynamic point observed. 展开更多
关键词 linear dynamic data dynamic point non replication observation
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ON ASYMPTOTIC NORMALITY OF PARAMETERS IN LINEAR EV MODEL 被引量:3
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作者 ZHANG SANGUO CHEN XIRUHua Lee-Keng Institue for applied Mathematics and Information Science, Graduate School of ChineseAcademy of Sciences, Beijing 100039, China. Department of Mathematics, Graduate School of Chinese Academy of Sciences, 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第4期495-506,共12页
This paper studies the parameter estimation of one dimensional linear errors-in-variables(EV) models in the case that replicated observations are available in some experimental points.Asymptotic normality is establis... This paper studies the parameter estimation of one dimensional linear errors-in-variables(EV) models in the case that replicated observations are available in some experimental points.Asymptotic normality is established under mild conditions, and the parameters entering the asymptotic variance are consistently estimated to render the result useable in construction of large-sample confidence regions. 展开更多
关键词 Errors-in-Variables model Asymptotic normality replicated observations
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Estimation in the polynomial errors-in-variables model 被引量:2
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作者 张三国 陈希孺 《Science China Mathematics》 SCIE 2002年第1期1-8,共8页
Estimators are presented for the coefficients of the polynomial errors-in-variables (EV) model when replicated observations are taken at some experimental points. These estimators are shown to be strongly consistent u... Estimators are presented for the coefficients of the polynomial errors-in-variables (EV) model when replicated observations are taken at some experimental points. These estimators are shown to be strongly consistent under mild conditions. 展开更多
关键词 errors-in-variables model polynomial model strong consistency replicated observations
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ON ASYMPTOTIC NORMALITY OF PARAMETERS IN MULTIPLE LINEAR ERRORS-IN-VARIABLES MODEL
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作者 ZHANGSanguo CHENXiru 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第4期438-445,共8页
This paper studies the parameter estimation of multiple dimensional linear errors-in-variables (EV) models in the case where replicated observations are available in some experimental points. Asymptotic normality is e... This paper studies the parameter estimation of multiple dimensional linear errors-in-variables (EV) models in the case where replicated observations are available in some experimental points. Asymptotic normality is established under mild conditions, and the parameters entering the asymptotic variance are consistently estimated to render the result useable in the construction of large-sample confidence regions. 展开更多
关键词 errors-in-variables model asymptotic normality replicated observations
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