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Non-Existence of the First Moment of the Adjusted Least Squares Estimator in Multivariate Errors-in-Variables Model
Authors:Chi-Lun?Cheng,Alexander?Kukush  author-information"  >  author-information__contact u-icon-before"  >  mailto:alexander_kukush@univ.kiev.ua"   title="  alexander_kukush@univ.kiev.ua"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Institute of Statistical Science, Academia Sinica, 115 Taipei, Republic of China;(2) Department of Mechanics and Mathematics, National Taras Shevchenko University, Vladimirskaya st. 64, 01033 Kiev, Ukraine
Abstract:The linear normal multivariate errors-in-variables model is considered. The model involves an equation error. It is proved in both structural and functional cases that the first moment of the adjusted least squares estimator does not exist.
Keywords:Adjusted least squares  Equation error model  Functional model  Infinite first moment  Linear multivariate error-in-variables model  Structural model
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