共查询到19条相似文献,搜索用时 212 毫秒
1.
本文考虑指标在,d≥1中的独立同分布随机变量序列,得到了有关大数定律的完全收敛性和收敛速度等一些结果. 相似文献
2.
3.
对于独立同分布随机变量序列{Xn,n≥1},证明了其满足弱大数律的一个必要条件是:对于任何r∈(0,1),E|X|r<∞都成立.另外我们还举例说明了这样的条件不是充分的. 相似文献
4.
本文考虑指标在Z^d+,d≥1中的独立同分布随机变量序列,得到了有关大数定律完全收敛性和收敛速度等一些结果。 相似文献
5.
陈平炎 《数学物理学报(A辑)》2005,25(3):386-392
该文把同分布的两两NQD列的Kolmogorov强大数定律推广到了在一类广泛的条件下的不同分布的情形, 为此而建立的Kolmogorov Chung型强大数定律本身也是有意义的.
相似文献
7.
对一类有界独立或相依的随机变量序列|ξn|,获得了它的伯努利大数定律、波雷尔强大数定律及常返性定理.作为应用,得出了Loève专著[1]中的推广的伯努利大数定律、常返性定理,改进了[1]中的推广的波雷尔强大数定律. 相似文献
8.
9.
设{Xn,n≥1}是同分布随机变量序列,{αnk,n≥1,1≤k≤n}是满足某种条件的常数序列.本文在ψ-混合,ρ-混合,ρ~-混合条件下讨论了加权和∑kn=1ankXk的Kolmogorov强大数定律. 相似文献
10.
11.
12.
It is proven that a stationary process of pairwise independent random variables with values in a separable metric space is weakly ergodic, i.e. each random variable is independent of the system of invariant sets of the process. An example shows that a process of identically distributed pairwise independent random variables is in general, however, not weakly ergodic.
13.
Malay Ghosh Gutti Jogesh Babu Nitis Mukhopadhyay 《Probability Theory and Related Fields》1975,33(1):49-54
For a sequence of independent and identically distributed positive random variables, the almost sure convergence of sums of maxima (when suitably normalized) to appropriate constants is proved for both bounded and unbounded random variables. A similar result is also proved for sums of minima of such variables. 相似文献
14.
In this article, the authors study some limit properties for sequences of pairwise NQD random variables, which are not necessarily identically distributed. They obtain Baum and Katz complete convergence and the strong stability of Jamison's weighted sums for pairwise NQD random variables, which may have different distributions. Some wellknown results are improved and extended. 相似文献
15.
该文得到了关于一般可分距离空间上独立随机元序列的几乎处处中心极限定理(almost sure central limit theory, 简记为ASCLT). 作为应用, 该文给出了取值于可分Banach空间上随机元序列以及一类随机场序列满足ASCLT的充分条件,最后给出了关于多维随机变量序列极值的ASCLT. 相似文献
16.
For a dependent risk model with constant interest rate, in which the claim sizes form a sequence of upper tail asymptotically independent and identically distributed random variables, and their inter-arrival times are another sequence of widely lower orthant dependent and identically distributed random variables, we will give an asymptotically equivalent formula for the finite-time ruin probability. The obtained asymptotics holds uniformly in an arbitrarily finite-time interval. 相似文献
17.
We obtain the distribution of the sum of independent Mittag–Leffler (ML) random variables which are not necessarily identically distributed. Firstly we discuss the corresponding known result for independent and identically distributed ML random variables which follows as a special case of our result. Some applications of the obtained result to fractional point processes are also discussed. 相似文献
18.
V. M. Kruglov 《Journal of Mathematical Sciences》1998,91(3):2942-2948
The law of large numbers for weighted sums of independent identically distributed random variables due to Chow and Lai is
generalized to nonidentically distributed or pairwise independent summands.
Supported by the Russian Foundation for Fundamental Research (grant No. 96-01-01920).
Proceedings of the Seminar on Stability Problems for Stochastic, Models, Moscow, Russia, 1996, Part. II. 相似文献
19.
设{Y,Yi,-∞<i<∞}为一负相伴同分布随机变量序列,{ai,-∞<i<∞}绝对可和的实数序列,本文在适当的条件下,证明了平滑移动过程{∑k=1^n∑i=-∞^∞ai k Yi/n^1/t,n≥1}的完全收敛性.所得的结果改进了[1]中的定理1. 相似文献