平衡损失下回归系数的线性容许估计

该文在平衡损失函数下 ,研究线性模型中回归系数的线性容许估计 ,得到了充要条件 .结果表明 。

Estimation of the Above-ground Biomass of Tamarix Species along a Transect at the Tarim River's Middle Reaches

[Objective] The purpose was to research the distribution characteristics of Tamarix species above-ground biomass of Tarim River＇s middle reaches and to find out best-fit linear-regression model of Tamarix species in this area.[Method] By dint of the most common sampling method PCQ,five samples in the middle reaches of Tarim River were collected.The best-fit linear-regression model of Tamarix species of this area was set up,based on the fieldwork and the model of Evangelista and obtained the distribution rules of Tamarix species of Tarim River＇s middle reaches.[Result] The result indicated that this model fitted for the estimation of aboveground biomass of the study area.According to the distribution rules of aboveground biomass,it was clear that underground water was the major element which decided the distribution of aboveground biomass.[Conclusion] The study provided theoretical basis for the calculation of biomass of Tamarix.

二次损失下一般的回归系数线性估计的容许性

本文研究线性模型中一般的回归系数的估计问题,用统计决策函数理论中容许性准则,讨论了线性估计的优良性,通过将一般的非可估回归系数转化成可估的情形,得到了一个线性估计在线性估计类中是容许估计的充分必要条件。

非线性回归在预测中的应用

本文阐述了时间序列的非线性回归使用计算机处理的基本方法,从分析误差说明了该方法的可行性,列出了几项计算结果,说明了该方法的正确性,并给出了在预测方面的应用。