| 1. | We begin by establishing the unbiasedness of ols estimators under a set of assumptions
首先，我们在一些假定下证明ols估计量的无偏性。 |
| 2. | Aiming at regression analysis of prediction variable with error , this paper discusses the estimation of regression of coefficient , and a method is given
林业科学试验的预测模型中往往带有测量误差，此时回归系数的估计不具有无偏性。为解决这一问题，从合理安排试验的角度，给出了一个有效的解决办法。 |
| 3. | Third , the accuracy of parameter estimate methods for the 2 - parameters weibull distribution and four different estimate methods for failure time based on the life of fixed time measurement are discussed
在无偏性和均方误差最小的意义下，得出了上述估计方法的优劣，为定时截尾、定时测试试验数据下的可靠性分析奠定了基础。 |
| 4. | The conclusion is that the back analysis results have the character of unbiasedness , efficiency and consistency . bayes random method which considers the prior errors is better in the back analysis of embankment dam ' s nonlinear materials
结论认为bayes随机反演结果具有无偏性、有效性和一致性的特点；在土石坝等非线性材料反演分析中，考虑先验信息误差的bayes随机反分析方法具有较好的适用性。 |
| 5. | In the third section three different forms of heteroscedasticity are used in the random simulation and then park test , glejser test and goldfeld - quandt test are compared although the existence of heteroscedasticity does not destroy the unbiasedness of the ols estimators , the variances become larger
异方差的存在虽然并不破坏普通最小二乘估计量的无偏性，但是估计量的方差变大了。由于估计量方差的变大，就使通常假设检验的值不可靠。 |
| 6. | 2 ) the concept of space frequency distribution is introduced into reevaluation of incoherently distributed source model . based on the model , two low - complexity robust bearing estimators are developed . it is proved theoretically that their estimates are asymptotically unbiased and consistent
2 )从空间频率分布的角度重新评价了非相干分布源模型，提出了两种低计算复杂度的稳健的分布源波达方向估计器，并从理论上证明了它们的渐近无偏性和渐近一致性。 |
| 7. | This formula used inverse regression and data fusion technical and maximum likelihood theory , then this method enabled random sample value obtained in ultrasonic and rebound method of different detection population to mix together effectively , and reach estimation of concrete strength
该公式利用逆回归理论、数据融合技术和最大似然原理，将回弹值和声速值分别看作被解释变量，将来自超声法和回弹法不同量纲的检测数据进行有效融合，得出混凝土强度的推定值，该推定结果具有无偏性和方差最小性质。 |
| 8. | This paper studies mainly the theories of the semi - parametric regression model : ( 1 ) under proper conditions , using random weighted way to the estimator of the error density f ( x ) of the semi - parametric regression model , this paper proved the strong and weak consistent and the asymptotic unbiased property of the weighted kernel estimation fn1 ( x ) of the f ( x )
本文对半参数回归模型：主要做了以下三个方面的理论研究： ( 1 )将随机加权法应用到半参数回归模型的误差密度f ( x )的估计当中去，在适当的条件下，证明了误差密度的加权核估计( ? ) _ ( n1 ) ( x )的强相合性、弱相合性及渐近无偏性。 |
| 9. | In this paper , we utilized the wavelet to estimate cook ' s , friedman ' s and hall ' s projection index , and proved that the wavelet estimator of this projection pursuit indices are mse convergence and asymptotically unbiased . , and the wavelet estimator of the ppda index is asymptotically unbiased
证明了cook投影指标族、 friedman投影指标和hall投影指标的小波估计的渐近无偏性和均方收敛性，投影寻踪判别分析指标( projectionpursuitdscriminantanalysis简称ppda )的小波估计的渐近无偏性。 |
| 10. | First , robust controllers design with mixed performance requirement is researched by giving output - feedback synthesis with h2 , h and regional pole placement constraints . second , reduced - order robust filters design for continue - time / discrete - time systems is researched . the filters obtained are a set of permitted ones and have optimality and unbiased estimation
首先，以极点配置、 h _ 2 、 h _为目标的输出反馈综合为例研究多目标鲁棒控制器设计；再则，对连续离散时间系统研究降阶鲁棒滤波器设计，使得所设计的滤波器具有最优性和无偏性。 |
