关于幂分布顺序统计量的分布性质

本文给出了幂分布顺序统计量的联合密度函数,以及极值顺序统计量的密度函数,从而进一步得到极值的数学期望与方差的表达式.此外还证明了X(1),X(2)-X(1),…,X(n)-X(n-1)不独立,且不同分布.     

关于χ^2分布顺序统计量的分布性质

设{Xk,1≤k≤n}独立同分布,X(1)≤X(2)≤…≤X(n)为其顺序统计量,当Xk服从自由度为n的χ2分布时,得到了(X(1),X(2),…,X(n))的联合概率密度函数,以及X(1)和X(n)的密度函数,从而进一步得到X(1)和X(n)的数学期望与方差的表达式.此外,还证明了X(1),X(2)-X(1),…,X(n)-X(n-1)不独立,且不同分布.     

关于次序统计量的联合分布与应用

设总体X具有连续的分布函数F(x)以及概率密度f(x),X(1),X(2),…,X(n)为次序统计量.得到了任意k个次序统计量的联合密度的一般形式.     

关于Weibull分布顺序统计量的分布性质

设{Xk,1≤k≤n}独立同分布,X(1)≤X(2)≤…≤X(n)为其顺序统计量,当X(k)服从参数为m和η的韦布尔分布时,得到了其顺序统计量的联合概率密度函数和极端顺序统计量的密度函数,进一步得到X(1)和X(n)数学期望与方差的表达式。此外还证明了当参数m≠1时,X(1),X(2)-X(1),…,X(n)-X(n-1)不独立且不同分布;当参数m=1时,X(1),X(2)-X(1),…,X(n)-X(n-1)独立但不同分布。     

Copulas于二维样本极值概率积分变换分布分析中的应用

借助于Copula这一工具对在具有联合分布H(x,y)的二维总体(X,Y)经概率积分变换得到的随机变量H(X,Y)的分布函数K(V)给定条件下,求出关于次序统计量X(n)=max{X1,X2,…,Xn}和Y(n)=max{Y1,Y2,…,Yn}经概率积分变换得到的随机变量Hn(X(n),Y(n))的分布函数Kn(v)的方法进行了研究,并找出了Kn(v)不随样本容量n变化的情形,进而得到了较准确地刻画二维R.V相依性的相关性指标Kendall's τ.     

关于Gamma分布顺序统计量的分布性质

设{Xk,1≤k≤n}独立同分布,X(1),X(2),…,X(n)为其顺序统计量.当Xk服从参数为λ(λ0)和r(r为正整数)的Gamma分布时,得到(X(1),X(2),…,X(n))的联合概率密度函数,及X(1)和X(n)的密度函数.从而进一步得到X(1)和X(n)的数学期望与方差的表达式.证明当r≠1时,X(1),X(2)-X(1),…,X(n)-X(n-1)不独立,且不同分布.     

Эрланга分布顺序统计量的概率分布及渐近性质

设{Xk,1≤k≤n}独立同分布,X(1),X(2),…,X(n)为其顺序统计量.当总体服从艾拉姆咖分布时,首先得到了其顺序统计量的联合概率密度函数、极端顺序统计量的密度函数,进一步说明了极端顺序统计量的概率密度可以表示为一系列参数不同的伽玛分布密度的线性组合.其次给出了极差Rn的概率分布和高阶原点矩的精确表达式.最后还研究了极端顺序统计量X(1)和X(n)的渐近性质.     

判定连续随机变量独立性的两个充要条件

对二维连续随机变量(X,Y),从联合密度函数和联合分布函数两个方面,得到了X,Y独立的两个充要条件,然后给出了应用,最后,把结果推广到了多维随机变量(X1,X2,?,Xn)的情形,给出了判定X1,X2,?,Xn独立性的两个充要条件。结果改进了原来的方法,使得判定连续随机变量独立性变得简便易行。     

三参数的Pareto分布顺序统计量的分布性质

设(Xk,1≤k≤n)独立同分布,X1:n,X2:n,…Xn:n为其顺序统计量,当X4服从三参数分别为μ,δ,γ(μ∈R,σ>0,r>0)的Pareto分布时,得到了(X1:n,X2:n,…,Xn:n)的联合概率密度函数,以及Xk:n (1≤k≤n)的密度函数,从而进一步得到Xk:n的q(q<1/r为正整数)阶原点矩E(Xqk:n)的精确表达式.证明了其顺序统计量的样本间隔X1:n,X2:n,-X1:n,…,Xn:n -Xn-1:n不独立,且不同分布.此外还研究了其极端顺序统计量 X1:n和Xn:n的渐近分布.     

关于帕雷托分布顺序统计量的分布性质

设{Xk,1≤k≤n}独立同分布,X(1),X(2),...,X(n)为其顺序统计量.当Xk服从参数为r(r＞0)的帕雷托分布时,得到了(X(1),X(2),...,X(n))的联合概率密度函数,以及X(1)和X(n)的密度函数.从而进一步得到X(1)和X(n)的数学期望与方差的表达式.此外还证明了X(1),X(2)-X(1),...,X(n)-X(n-1)不独立,且不同分布.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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