| 1. | Convergence rate of the estimate of the regression function under martingale difference sequence
误差为鞅差序列的回归函数估计的收敛速度 |
| 2. | Abstract : by using the convergence theorem of martingale difference sequence , a class of strong limit theorem for the functional countable homgenous markov chain is obtained
文摘:利用鞅差序列的收敛定理，给出了一类关于可列齐次马尔科夫链泛函的强极限定理。 |
| 3. | Presents some results for weighted sums of multidimensionally indexed and stochastically dominated random variables using orthogonality of martingale difference sequence , which extend the related results of andr adler and andrew rosalsky
利用鞅差序列的直交性质，推广了单指标随机控制随机变量加权和的结果，给出了多指标随机控制随机变量加权和的极限定理 |
| 4. | Abstract : in this paper , we investigate laws of large numbers of weighted sums of real - valued martingale differences . it is obtained that the sufficient conditions for weighted sums of real - valued martingale difference sequence satisfying the strong and weak law of large numbers
文摘:研究了实值鞅差序列配重和的大数定律，得到了实值鞅差序列配重和的强、弱大数定律成立的充分条件 |
| 5. | These results " generalize the corresponding results in [ l ] and [ 2 ] . second , complete convergence of gn ( t ) and n are studied , these results have not been investigated by fan [ 1 ] and correctly proved in [ 2 ] , when random errors are martingale difference sequences
其次，我们亦得到了， _ n的完全收敛性这一新的结果，而这是fan中未有的，闫在在等人在误差为鞅差时亦未能正确证明这点。 |
| 6. | The hierarchization of peasant communicative objects , diversification of relations between communicative subjects , and " the pattern of difference sequence " reflected in trust relation all reflected this kind of logic : the communicative behavior choice of peasant is a kind of rational choice on the basis of the the traditional " pattern of difference sequence " and the traditional " pattern of difference sequence " is heading for rationalization
农民交往对象的等级化、交往主体间关系的多元化、信任关系的“差序格局”都反映出这样一种逻辑：农民的交往行为选择是在传统“差序格局”基础上的一种理性选择，传统的“差序格局”正在走向理性化。 |
| 7. | Utilizing ion - pair reversed - phase hplc , four kinds of oligonucleotides with size 18 , 19 , 20 and 21nt , respectively , were separated successfully . furthermore , two kinds of oligonucleotides with same size and difference sequence were successfully separated . linear regression equations of two standard samples have been set up
在普通的高效液相色谱仪上，应用反相离子对高效液相色谱法成功地分离了4种长度不同的单链寡聚核昔酸( 18 、 19 、 20 、 zlnt )以及两种序列不同的19nt单链寡聚核昔酸。 |
| 8. | Some limit properties of sequences of arbitrary b - valued random variables are studied by using truncation methods of random variables and conditional three series theorem , a class of strong limit theorems and convergence theorems for martingale difference sequences related to the conditional expectations are obtained , and some conclusions corresponding to these and some classical strong laws of large numbers are generalized
摘要利用随机变量的截尾方法和条件三级数定理，研究任意b值随机变量序列的极限性质，得到了一类关于条件期望的强极限定理和鞅差序列收敛定理，推广了与此相应的一些结果和若干经典的强大数定律。 |
