The Bivariate Transmuted Family of Distributions: Theory and Applications

The bivariate distributions are useful in simultaneous modeling of two random variables. These distributions provide a way to model models. The bivariate families of distributions are not much widely explored and in this article a new family of bivariate distributions is proposed. The new family will extend the univariate transmuted family of distributions and will be helpful in modeling complex joint phenomenon. Statistical properties of the new family of distributions are explored which include marginal and conditional distributions, conditional moments, product and ratio moments, bivariate reliability and bivariate hazard rate functions. The maximum likelihood estimation (MLE) for parameters of the family is also carried out. The proposed bivariate family of distributions is studied for the Weibull baseline distributions giving rise to bivariate transmuted Weibull (BTW) distribution. The new bivariate transmuted Weibull distribution is explored in detail. Statistical properties of the new BTW distribution are studied which include the marginal and conditional distributions, product, ratio and conditional momenst. The hazard rate function of the BTW distribution is obtained. Parameter estimation of the BTW distribution is also done. Finally, real data application of the BTW distribution is given. It is observed that the proposed BTW distribution is a suitable fit for the data used.     

二元Weibull统计流形的对偶几何结构及其不稳定性

为了研究二元Weibull分布的稳定性,从信息几何的角度将二元Weibull分布的全体所构成的集合作为二元Weibull统计流形,通过求得流形的Fisher信息矩阵、α-联络、α-曲率张量以及α-数量曲率,得到二元Weibull统计流形的对偶几何结构,进而得到当α=±1时,二元Weibull统计流形是对偶平坦的,并且是截面曲率为0的常截面曲率空间.最后,借助于对偶平坦几何结构,利用Jacobi向量场得到了二元Weibull统计流形的不稳定性.     

基于多格的ad hoc网络密钥预配置方案

借鉴传感器网络中基于多项式的密钥对预配置方案,设计出一个应用于ad hoc网络的高效密钥对预配置方案:基于多格的密钥预配置方案.该方案提出了多格的概念,将密钥的预配置建立在多个由多项式构成的二维表格之上,从而增加了节点之间建立会话密钥的概率.第1次将门限机制应用到密钥的传输过程中,增强了密钥传输过程中的安全性.通过分析可以看出该方案有一些优良的特性,包括两节点间能以很高的概率成功建立密钥对,对入侵有较强的鲁棒性、低通信量.     

基于冗余Contourlet变换的图像相关法去噪

Contourlet变换是多尺度几何分析中十分重要的一种方法,可以实现灵活的多分辨、局部、多方向图像表示,但是由于不具有平移不变性,在图像去噪中易产生伪吉布斯现象,这里应用冗余Contourlet变换,具有平移不变性,且能有效表示图像几何纹理信息。在去噪应用中考虑分解系数的层间信息,将BivaShrink方法推广到冗余Contourlet变换中。实验结果表明,本文方法提高了去噪后图像的峰值信噪比(PSNR),同时有效保存了图像纹理信息,视觉效果更好。     

Estimation of the Bivariate Stable Spectral Representation by theProjection Method

A method of estimating the spectral representation of a generalized bivariatestable distribution is presented, based on a series of maximum likelihood (ML)estimates of the stable parameters of univariate projections of the data. Thecorresponding stable spectral density is obtained by solving a quadraticprogram. The proposed method avoids the often arduous task of computing themultivariate stable density, relying instead on the standard univariate stabledensity. The paper applies this projection procedure, under the simplifyingassumption of symmetry, to simulated data as well as to foreign exchangereturn data, with favorable results. Kanter projection coefficients governingconditional expectations are computed from the estimated spectral density. For the simulated data these compare well to their known true values.     

利用Mathematica绘制二元函数图形的方法与技巧

介绍了Mathematica软件中二元函数图形绘制的基本方法,进而研究了曲面相交所围成的空间立体图形的绘制方法和技巧,利用Mathematica软件绘制出了牟合方盖、球面与圆柱面相交、马鞍面与平面相交的立体图形.     

基于分簇的WSN多项式随机密钥管理方案

结合多项式的密钥预分配方案和基于分簇管理的随机预分配方案,提出了一种改进的密钥管理方案,并在该方案中添加距离参数来提高无线传感器网络的安全性。对该方案的分析和评估结果表明,该方案提高了无线传感器网络的安全性,并能降低节点的存储空间和计算开销。     

二元切触有理插值函数的构造方法

二元切触有理插值函数的构造方法大都是基于连分式进行的,其算法可行性是有条件的,且计算量较大,有理函数的次数较高。利用分段组合方法,构造出一种二元切触有理插值函数并将其推广到向量值切触有理插值情形,既解决了切触有理插值函数的存在性问题,又降低了切触有理插值函数的次数。相比于其他方法,其构造过程公式化,算法的可行性是无条件的,有理插值函数次数较低,且计算量较小,便于实际应用。     

Attribute Charts for Monitoring the Mean Vector of Bivariate Processes

This article proposes two Shewhart charts, denoted np_xy and np_w charts, which use attribute inspection to control the mean vector (μ_x; μ_y)′ of bivariate processes. The units of the sample are classified as first‐class, second‐class, or third‐class units, according to discriminate limits and the values of their two quality characteristics, X and Y. When the np_xy chart is in use, the monitoring statistic is M = N₁ + N₂, where N₁ and N₂ are the number of sample units with a second‐class and third‐class classification, respectively. When the np_w chart is in use, the monitoring statistic is W = N₁ + 2N₂. We assume that the quality characteristics X and Y follow a bivariate normal distribution and that the assignable cause shifts the mean vector without changing the covariance matrix. In general, the synthetic np_xy and np_w charts require twice larger samples to outperform the T² chart. Copyright © 2014 John Wiley & Sons, Ltd.     

准东煤灰提取氧化铝和白炭黑技术研究

为实现准东煤灰的绿色化综合利用,笔者研究设计了从准东煤灰中制取氧化铝和白炭黑的工艺流程,确定了最佳工艺条件,并通过SPSS双变量分析比较不同影响因素对提取率影响程度。试验采用准东煤--将军庙原煤,破碎并用马弗炉模拟煤粉炉静态燃烧方式制取灰样。准东煤灰的成分分析和元素分析表明:SiO2占48.84%,Al2O3占31.26%。参照标准制备灰样,对灰样进行SEM分析,发现粘黏性严重,因此试验前先进行机械研磨。采用煤灰与硫酸铵焙烧法制备氧化铝,工艺分为焙烧过程和酸浸过程。因滤液中含有大量杂质铁、钙等元素,采用pH调节法除杂并对除杂效果进行检验,检验结果为除杂率接近100%。从提铝渣中制备白炭黑分为碱浸过程和多次碳分过程。在提铝工艺焙烧过程中,通过提铝率变化曲线及节能角度确定了各因素的最佳试验条件为:焙烧温度600℃,焙烧时间60 min,焙烧配料比1∶6;在提铝工艺酸浸过程中,得到最佳试验条件为:酸浸温度60℃、酸浸时间20 min、H2SO4浓度0.2 mol/L、酸浸液固比50。从提铝渣制备白炭黑研究中,通过SEM观察到提铝渣疏松多孔,有利于进一步的提硅试验。通过XRD对提铝渣分析,得出提铝渣中含有大量硅、钙元素;用K值法(RIR法)求得提铝渣中Si含量及经提铝后的Si损失率为7.64%。得出碱浸过程最佳试验条件为:碱浸温度60℃、碱浸时间30 min、碱浸NaOH浓度3 mol/L、碱浸液固比70,此时Si提取率为99%。采用多次碳分法进行提硅能够满足不同硅含量纯度要求,得到最佳碱浸工艺条件为碳分pH=9.5、CO2通气速率24 m L/min、碳分NaOH浓度0.2 mol/L、碳分液固比80。通过双变量相关性分析,得到各因素对提铝率、SiO2提取率及H2SiO3沉淀率影响程度大小分别为:焙烧温度>焙烧时间>焙烧配料比,酸浸时间>酸浸温度>H2SO4浓度>酸浸液固比,碱浸液固比>碱浸温度>NaOH浓度>碱浸时间,碳分pH>碳分液固比>碳分NaOH浓度>CO2通气速率。通过经济性及可行性分析,说明提出的工艺能有效实现准东煤灰的绿色化综合利用。从提铝后的滤液中重新提取(NH4)2SO4,实现生产原料的再利用;碳分过程后的Na2CO3溶液可通过加入石灰苛化的方式实现NaOH可循环利用于提取工艺生产;本工艺除生产氧化铝和白炭黑外,还能获得Na2SO4等附加产品。