两两NQD列的强收敛性质

本文讨论两两NQD随机变量列极限理论中的强收敛性质。首先建立了两两NQD随机变量列最大部分和的Bernstein型概率指数不等式;并在此基础上,给出了具有不同分布的两两NQD列在较弱矩条件下的Petrov型对数律与Wittmann型重对数律,将文献中相应内容从NA情形推广到两两NQD情形。     

关于两两NQD序列的强收敛性

两两NQD随机变量序列是一类常见的随机变量序列,在理论与实际中有着广泛的应用.本文的主要目的是要研究一般两两NQD随机变量序列的强收敛性.利用两两NQD随机变量序列的三级数定理及其性质,通过巧妙的截尾方法,获得了两两NQD随机变量序列的一类强极限定理,同时给出一般例子说明本文结果改进和真推广了现有文献的一系列结果.     

两两NQD列的极限定理

本文主要研究了两两NQD列的完全收敛性和强大数定律.文中给出了两两NQD列的定义和推广的Kolmogorov型不等式,并利用推广的Kolmogorov型不等式,得到了两两NQD列的完全收敛性定理.本文构造了两个不增函数,利用不增函数的性质,得到了两两NQD列的强大数定律.本文得到的强大数定律与独立随机变量情况下的强大数定律相类似,进而推广了前人的研究成果.     

NA序列加权和的强稳定性

本大讨论NA序列加权和的强稳定性，减弱文[1]的条件，推广文[2]的结果．     

行为两两NQD阵列加权和的矩完全收敛性

负相依在统计分析和可靠性理论中有着广泛地应用。本文的目的是要研究行为两两负象限相依阵列加权和的矩完全收敛性。利用矩不等式和截尾方法,建立了行为两两负象限相依阵列加权和的矩完全收敛性的充分条件,同时给出了具体应用,获得了基于负象限相依序列的平滑移动过程的矩完全收敛性,推广并完善了以前的结果。     

强异构货物垛型稳定性分析及评估方法

目的 针对强异构货物垛型稳定性判定问题,提出一种稳定性计算方法。方法 首先运用静力学和动力学分析,建立物理模型,量化5个稳定性参数,定义定量评估垛型稳定性的指标——垂直稳定度和水平稳定度,然后分别采用中心骨架算法、分支定界算法、Extreme Point算法建立仿真垛型,对比货物的空间布局位置及布局效果,通过计算公式得到垂直稳定度和水平稳定度数值,对垛型的稳定性进行机理分析,最后,采用小规模纸箱实验,进一步验证公式的合理性。结果 提出的稳定度计算公式能有效用于强异构性垛型的稳定性评估与分析。结论 该方法对提高码垛算法的工程应用性,增强配平均衡性,防止货物在地面运输过程中倒垛,具有一定的参考价值。     

关于NA相依变量加权和收敛性的注记

评注了NA相依变量加权和收敛性的相关定理，借用杨善朝的不等式，在比较简洁的条件下改善了已有结果，特别是不必要求同分布。作为应用，给出了NA相依样本回归函数的一个强相合估计。     

关于"矩阵张量积的圆盘理论"的注记

佟文廷于1980年建立了矩阵张量枳的圆盘理论。本文指出了佟文廷与逄明贤工作中的两处错误,说明了产生错误的原因,同时给出了与矩阵张量积圆盘理论有关的改进结果。     

A Note on Weighted Least‐squares Estimation of the Shape Parameter of the Weibull Distribution

This study proposes an alternative to the weighted least‐squares (WLS) procedure for estimating the shape parameter of the Weibull distribution. Bergman (Journal of Materials Science Letters 1986; 5:611–614), Faucher and Tyson (F&T) (Journal of Materials Science Letters 1988; 7:1199–1203) suggested using different WLS approaches for Weibull parameters. However, the simulation results show that the novel approach is better than that of Bergman, and is not significantly different from that of F&T. Furthermore, the novel approach is also simpler and easier to comprehend. Copyright © 2004 John Wiley & Sons, Ltd.     

B值随机变量阵列加权和完全收敛性的某结果

设{Xnii≥1,n≥1}为行间独立的B值r.v.阵列,g(x)是指数为1/p的正则变化函数,r＞1,{αnii≥1,n≥1}为实数阵列,本文得到了使∞∑n=1nr-2P(‖∞∑i=1αniXni‖＞εg(n))＜∞[]ε＞0成立的条件.     

A Methodology for Determining the Proper Point Size for Display Type on Packaging by Means of the Package's Proportions

The point size of display text on a package was evaluated relative to package proportion with the use of a preference test. This test involved 150 participants examining packaging images showing the product name in various point sizes and being asked their preference. A cascading presentation method modelled after the binary search algorithm was used to determine the exact point size preference for each participant. Participants also completed a survey intended to gather information regarding their motives for their choice. This study was developed to determine the optimal display type size of a package on the basis of its relationship with the package's proportions. It was hypothesized that this proportion would be related to the golden ratio (a ratio of about two‐thirds) that has been suggested to be a particularly aesthetic proportion throughout nature and human history. The results of the study showed that the preferred ratio was actually greater than the golden ratio, equaling 10/12 of the package's width. These results were found to be further influenced by the participant's gender and the packaging structure on which the display type is applied. Although the results are not generalizable to all demographics and products, the methodology used is easily extensible to arbitrary product types. We propose that this methodology for evaluating type size on packages be used by designers as part of the package creation process. Copyright © 2014 John Wiley & Sons, Ltd.