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21.
Let (X,y) be a R~d×R~1-valued radom vector with E(?)=E(Y|X=x) be the regression funvion of Y with respect to X.Su (X_i, Y_i),i=1, …,n, are iid samples drawn ftc, from (X,Y).(?)desired to estimate m(x) based on these samples,everoye discussed in (?) the pointwise convergence of the nearest neigthoor estimate m_n(X) (see (5) of the present paper). Ih this article we further study the rate of this eonyer-gence.It is shown that if there exists p≥2 sach that E 、|Y|<∞,then for suitabte choice of the weighte C_m (see(4) of the present paper). 相似文献
22.
一类特殊Weibull分布纪录值之和的中心极限定理 总被引:1,自引:0,他引:1
给出了参数τ为正整数的倒数为Weibull分布纪录值之和的中心极限定理。 相似文献
23.
的收敛性,并获得了园满的结果,在独立和情况下的同一问题,曾由 Heyde[2]于1966年讨论。本文将反复引用[2]中的结果,本文的主要结果是: 相似文献
24.
In this paper we have investigated and proved various Lebesgue properties of the n-dimensional quasi-distributions. 2-dimensional quasi-distributions have been classified into 5 types. It is proved among others that every 2-dimensional quasi-distribution can be expressed uniquely as a sum of 5 functions belonging to different types. Some necessary and sufficient conditions for functions belonging to each given type have been analysed in detail. 相似文献
25.
Let φ(x1,x2,…xm) be a real Borel measurable symmetrical function of the m variables, and let Un denote the U-statistic with kernel φ. In this note it is proved that the necessary and sufficient condition for E|φ|<+∞ is that there exists an n≥m such that E|Un|< + ∞. 相似文献
26.
早在本世界上半叶,人们就已彻底弄清楚了 uan 条件之下(即一致渐近可忽略条件)的独立和的分布极限类,建立起了较为完整的无穷可分分布理论。根据这个理论,只有无穷可分分布才有可能成为 uan 条件之下的独立和的极限分布,并且只有稳定律才有可能成为独立同分布随机变数列{x_n}的正则化部分和{1/(B_n)S_n-A_n}的极限分布。但 相似文献
27.
In this article, the dependent steps of a negative drift random walk are modelled as a two-sided linear process Xn =-μ ∞∑j=-∞ψn-jεj, where {ε, εn; -∞< n < ∞}is a sequence of independent, identically distributed random variables with zero mean, μ>0 is a constant and the coefficients {ψi;-∞< i <∞} satisfy 0 <∞∑j=-∞|jψj| <∞. Under the conditions that the distribution function of |ε| has dominated variation and ε satisfies certain tail balance conditions, the asymptotic behavior of P{supn≥0(-nμ ∞∑j=-∞εjβnj) > x}is discussed. Then the result is applied to ultimate ruin probability. 相似文献
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关于完备可分距离空间中复合随机场弱收敛条件的讨论 总被引:2,自引:0,他引:2
本文主要讨论了完备可分距离空间中两个复合随机场序列ξε(υε)和ξ0(υ0)之间的关系,得出的条件,并作为应用,本文还顺便讨论了两个有关的例子. 相似文献