| 1. | The newly exploration on the convergent character by probability
依概率收敛性质的推广 |
| 2. | Through almost sure convergence of random variables , the probability convergence can be derived ; and further the weak convergence can be derived
摘要由随机变量序列几乎处处收敛可推出其依概率收敛，进而可推出其依分布收敛，可见判别几乎处处收敛的重要性。 |
| 3. | The property of continuous function and the formula of probability addition to the convergence in probability of continuous function sequence of random vector is used
摘要将依概率收敛的一维随机变量序列的连续函数仍依概率收敛的结论推广到随机向量序列的情形。 |
| 4. | This paper gaves its equivalent propositions and proves that a . s . convergence of independent random variables ' s sum variables is equivalent to its probability convergence , and equivalent to its weak convergence
给出了它的几个等价命题，同时还证明了独立随机变量和序列几乎处处收敛等价于依概率收敛，亦等价于依分布收敛。 |
| 5. | In this paper , we give a kernel shape estimation of m ( x ) using variable bandwidth local linear refression approch , and discuss the asymptotic normality , the convergence rate of mean square and convergence rate with probability
本文对上述模型，利用变窗宽局部线性回归方法，给出了m ( x )的核形估计，并讨论了这一估计的渐近正态性、依概率收敛速度、和均方收敛速度。 |
| 6. | The present paper firstly represents the model about random walks in time - random environments on the right line , then the studies about recurrence - transience criteria and limit theorem by using some relative theories of markov chains , and finally a center limit theorem of this random walks in the non - recurrence case
摘要给出了半直线上时间随机环境下随机游动的模型，并利用马氏链理论研究了该随机游动的常返暂留准则和依概率收敛的大数定律，得到在非常返情形下的中心极限定理。 |
| 7. | In this paper we discuss the convergence in the r - th mean and in probability for random weighted sums of random elements in a type p and b - convexity banach space , and give some necessary and sufficient conditions for the randomly weighted sums of the form vn anixni to converge , and also we give the convergence of weighted sums of martingale difference arrays of the form qnidni with values in a p - smoothable banach space . most of the previous papers discuss the randomly weighted sums of the form anixi
本文讨论了在p型和b凸banach空间上的随机加权和sumfromi = ntov _ na _ ( ni ) x _ ( ni )的平均收敛性及依概率收敛性，并从中给出了满足这些收敛性的充分与必要条件，以及在p阶光滑banach空间下鞅差阵列随机加权和sumfromi = ntov _ na _ ( ni ) d _ ( ni )的平均收敛性及依概率收敛性。 |
| 8. | The convergence of the pnn decision rule for the bayesian decision rule is proved with probability . an explicit formulation of pnn generalization ability is proposed . and the accuracy rate of a classification network is explained as the maximum likelihood estimation of the generalization ability
证明了pnn的决策函数依概率收敛于贝叶斯决策函数;给出了pnn的推广能力表达式;证明了一个分类网络的测试集正确率是该网络推广能力的极大似然估计;给出了分类网络中需要的测试集数目表达式;证明了pnn推广能力不大于由贝叶斯决策所带来的正确识别率 |
