A law of the iterated logarithm for the product limit estimator with doubly censored data

We establish the law of the iterated logarithm for the product limit estimator, when the data are subject to double censoring. This investigation extends the results available for the model for singly censored data.     

Boundedness of dyadic derivative and Cesáro mean operator on some B-valued martingale spaces

In this article, it is proved that the maximal operator of one-dimensional dyadic derivative of dyadic integral I* and Cesàro mean operator σ* are bounded from the B-valued martingale Hardy spaces pΣα, Dα, pLα, p H#α, pKr to Lα (0 < α < ∞), respectively. The facts show that it depends on the geometrical properties of the Banach space.     

A metric discrepancy result for the sequence of powers of minus two

The law of the iterated logarithm for discrepancies of _{(−2)kt}k${\left\{{(-2)}^{k}t\right\}}_k$ is proved. This result completes the concrete determination of the law of the iterated logarithm for discrepancies of the geometric progression with integer ratio, and reveals the fact that 2 is the only positive integer θ>1$\theta >1$ such that fractional parts of _{(−θ)kt}k${\left\{{(-\theta )}^{k}t\right\}}_k$ converge to uniform distribution faster than those of _{θkt}k${\left\{{\theta }^{k}t\right\}}_k$ a.e. t$t$.     

Basics on growth orders of polymonogenic functions

In this paper, we introduce generalizations of the classical growth order and the growth type of analytic functions in the context of polymonogenic functions. Polymonogenic functions are null-solutions of higher integer order iterates of a generalized higher dimensional Cauchy–Riemann operator. One of the main goals is to prove generalizations of the famous Lindelöf–Pringsheim theorem linking explicitly these growth orders and growth types with the Taylor series coefficients in the context of this function class.     

α—混合情形非参数密度估计的重对数律

当样本X1，…，Xn,…，是α-混合时，建立了三角数组的重对数律和Rosenblatt-Parzen核估计的重对数律。     

随机场下重对数律的渐近性

设{X,X_k,k∈z_+~d)是d维随机场独立同分布零均值的随机变量,如果E[X~2(log~+|X|)~(α+d-1)(log+log~+|X|)~β]<∞,则 其中Γ(·)为Gamma函数.由此回答了Gut和Spataru[4]在d=1时所提出的问题。     

Local Functional Law of the Iterated Logarithm for Increments of a Brownian Sheet北大核心CSCD

本文利用Brown单与Brown单增量的大偏差,得到了Brown单与Brown单增量的局部泛函重对数律.     

Yang-Lee零点的Julia集及其Hausdorff维数的连续性

本文研究了Yang-Lee零点的Julia集的复解析动力系统问题.利用网格及共形迭代函数系统的方法,获得了Yang-Lee零点的Julia集及其Hausdorff维数连续性的结果,推广了乔建永教授在文献[1]中的结果,