共查询到20条相似文献,搜索用时 546 毫秒
1.
X为m维随机向量,X_1,X_2,…,X_n是来自母体X的子样,Z~N_m(0,I_m),{B_m>0}为实数列,经验分布 F~n_(Z/(BM))(x)=1/n#{i:Z'X_4/B_40,X~N_m(u,V),若M→∞时, B_m~(-2)T_r(V)→σ~2,B_M~(-2)∥u∥~2→0,B_m~(-2)(T_r(V_2) 2u'Vu)→0,那么 F_n~(Z/(Bm))(x)(?)N(0,σ~2) 当n→∞ m→∞。 相似文献
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摘要:设{X,Xn,n≥1)为独立同分布的服从某连续分布F的随机变量序列,X^(1)=X1,X^(2),X^(3),…为其纪录值序列.令ψ(u)=F^-1(1-e^-u).其中F^-1是F的反函数.本文研究当ψ(u)=log^pu时Tn=∑k=1^nX^(k)=^dn∑k=1^nψ(Sn)的极限性质.解决了户为所有正整数时Tn的中心极限定理. 相似文献
3.
本文研究了独立同分布样本的 u 统计量分布的非一致性速度,得到了与独立和完全类同的结果。若 E|h(x_1,x_2)|~(2+δ)<∞,(0<δ<1),且 Eg_1~2(x_1)>0,则存在与 F(F为 h(x_1,x_2)的分布函数有关的ψ(u),当 n 充分大时,有|P((U_n)/(σ_n)≤x)-Φ(x)|≤((ψ(√n(1+|x|)))/(n~2(1+|x|)~(2+(?)))其中:ψ(u)是(u>0)上的有界减函数且有 lim(?)ψ(u)=0。 相似文献
4.
我们在穿孔单位球上研究下面多重调和Dirichlet问题{(-Δ)ku=f(u),在B\{0)内,u>0,在B\{0)内,u=(e)u/(e)v=…=(e)k-1u/(e)vk-1=0,在(e)B上,其中,B是RN中的单位球,v是(e)B的单位外法向量,N>2k,k≥2.在f满足适当假设条件下,如果0是不可去奇点,我们... 相似文献
5.
设二维随机变量 (X,Y)的概率密度为 f (x,y) ,二维随机变量的函数是 U =U(x,y) ,则U的分布函数为FU(u) =P{ U≤ u} = Gf (x,y) dxdy,G:u(x,y)≤ u,(-∞ 0 .将此… 相似文献
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设(G,u,v)是以u和u为根的双根连通图,用边e连接点u和v,所得之图记为G+E.Gross对根u和v的度均为2的情形,给出了G+e的亏格分布与(G,u,v)的部分亏格分布之间的一个关系.本文推广到有一个根的度可以任意大的情形,并由(G,u,v)的部分亏格分布导出了G+e的亏格分布. 相似文献
8.
1965年何育赞在[1],[2]中系统论述了代数体函数的基本值分布性质,并结合导数对第二基本不等式作了若干推广。给出了代数体函数及其导数的一些亏量关系。本文给出了一个定理,应用此定理可以改善[1],[2],[3]中的若干定理。关于 T(r,u)的上界,我们有定理 设 u(z)是代数体函数,a_i(i=1,…,p)是相互判别的有穷复数,b_j(j=1,…,q)是相互判别的有穷非零复数,k≥1为整数。则 相似文献
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复振荡理论中关于超级的角域分布 总被引:2,自引:1,他引:1
设f_1和f_2是微分方程f″+A(z)f=0的两个线性无关的解,其中A(z)是无穷级整函数且超级σ_2(A)=0.令E=f_1f_2.本文研究了微分方程f″+A(z)f=0的解在角域中的零点分布,得出E的超级为+∞的Borel方向与零点聚值线的关系. 相似文献
11.
Saralees Nadarajah 《Acta Appl Math》2009,106(1):105-123
Long-tailed distributions arise in many areas of the sciences. These distributions, however, suffer from the weakness of not
having finite moments of all orders and this weakness has restricted their use. In this note, we introduce truncated versions
of five of the most commonly known long-tailed distributions—which possess finite moments of all orders and could therefore
be better models. Explicit expressions for the moments are derived for each of the truncated distributions. Several applications
are illustrated using real data. 相似文献
12.
一般而言, 偏态的椭球等高分布是一类分布族,有相当一部分的分布都是积分形式, 且此类积分不易求出,而偏态的正态、偏态的正态尺度混合、偏态的PVII型、偏态的PII型的分布却有着很好的结构,偏态t分布属于偏态PVII型分布, 因此,本文在偏态PVII型分布的基础上着重研究新的偏态t分布,给出它的背景、定义、两种随机表示及其等价性. 相似文献
13.
We consider some general facts concerning the convergence
where P
n
and Q
n
are probability measures in a complete separable metric space. The main point is that the sequences {P
n
} and {Q
n
} are not assumed to be tight. We compare different possible definitions of the above convergence and establish some general
properties.
An erratum to this article can be found at 相似文献
14.
Marshall and Olkin’s Distributions 总被引:1,自引:0,他引:1
Saralees Nadarajah 《Acta Appl Math》2008,103(1):87-100
A review is provided of the continuous and discrete distributions introduced by the eminent Professors Marshall and Olkin.
The topics reviewed include: bivariate geometric distribution, extreme value behavior, bivariate negative binomial distribution,
bivariate exponential distribution, concomitants, reliability, distributions of sums and ratios, Ryu’s bivariate exponential
distribution, bivariate Pareto distribution and generalized exponential and Weibull distributions. Some hitherto unknown results
about these distributions are also mentioned.
This is a tribute to the work of Professors Marshall and Olkin. 相似文献
15.
Truncated versions of the bivariate generalized Pareto, bivariate inverted dirichlet and the bivariate Pearson type VII distributions
are introduced. Unlike the un-truncated versions, these possess finite moments of all orders and could therefore be better
models for certain practical situations. Explicit expressions for the moments are derived for each of the truncated distribution. 相似文献
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在实Schwartz广义函数空间上,证明了复值广义维纳泛函,由Kondratev-Streit及Hida构造的复值白噪声分布都是由Khrennikov构造的分布。利用上述结果进而证明了,一类无穷维伪微分算子是由复值广义维纳泛函空间上的连续线性算子族扩张而成。更进一步,还证明了由Khrennikov构造的关于分布的试验函数空间是关于白噪声泛函的Meyer-Yan试验函数空间的子空间。 相似文献
18.
Waiting Time Distributions Associated with Runs of Fixed Length in Two-State Markov Chains 总被引:3,自引:3,他引:0
M. V. Koutras 《Annals of the Institute of Statistical Mathematics》1997,49(1):123-139
In the present article a general technique is developed for the evaluation of the exact distribution in a wide class of waiting time problems. As an application the waiting time for the r-th appearance of success runs of specified length in a sequence of outcomes evolving from a first order two-state Markov chain is systematically investigated and asymptotic results are established. Several extensions and generalisations are also discussed. 相似文献
19.
Let F be a distribution function (d.f.) on [0, ) with finite first moment m >0. We define the integrated tail distribution function F
1 of F by F
1(t)=m-1
0
t
(1- F(u))du, t0. In this paper, we obtain sufficient conditions under which implications FSF
1S and F
1S FS hold, where S is the class of subexponential distributions. 相似文献
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