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关于DRCE随机变量渐近分布性质的探讨 总被引:1,自引:0,他引:1
本文讨论了DRCE随机变量渐近正态收敛速度的一致上、下界,并对一类特殊的DRCE随机变量,讨论了其退化情况的不变原理。 相似文献
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Raluca Vernic 《Journal of Theoretical Probability》2016,29(1):118-142
Built from given marginals with a flexible dependency structure, Sarmanov’s family of multivariate distributions became of interest in various fields. In this paper, we present some formulas for the density of the sum of several random variables joined by Sarmanov’s distribution, with accent on the particular case of exponentially distributed marginals. Such results are useful in solving, e.g., financial and actuarial problems. 相似文献
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研究了两个相互独立的逆Weibull分布随机变量间的随机序,似然比序,危险率序以及凸序之间的相互关系,给出了两个相互独立但不同分布的随机变量满足各种随机序时其分布所含参数间的相应关系.也给出了两组相互独立但不同分布的随机变量极值间在一般随机序下的大小关系. 相似文献
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研究了两个相互独立的逆Weibull分布随机变量间的随机序,似然比序,危险率序以及凸序之间的相互关系,给出了两个相互独立但不同分布的随机变量满足各种随机序时其分布所含参数间的相应关系.也给出了两组相互独立但不同分布的随机变量极值间在一般随机序下的大小关系. 相似文献
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David M. Bradley Ramesh C. Gupta 《Annals of the Institute of Statistical Mathematics》2002,54(3):689-700
The distribution of the sum of independent identically distributed uniform random variables is well-known. However, it is sometimes necessary to analyze data which have been drawn from different uniform distributions. By inverting the characteristic function, we derive explicit formulae for the distribution of the sum of n non-identically distributed uniform random variables in both the continuous and the discrete case. The results, though involved, have a certain elegance. As examples, we derive from our general formulae some special cases which have appeared in the literature. 相似文献
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Mathematical Notes - 相似文献
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Mohsen Soltanifar 《Journal of Theoretical Probability》2014,27(1):41-56
In this paper, we discuss some special properties of operator-valued semicircular random variables including representation of the Cauchy transform of a compactly supported probability measure in terms of their operator-valued Cauchy transforms and existence of nonzero discrete part of their associated distributions. 相似文献
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Approximations to the characteristic function of the lognormal distribution are computed and used to calculate approximations to the density of sums of lognormal random variables. 相似文献
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V. V. Petrov 《Journal of Mathematical Sciences》2003,118(6):5610-5612
Sufficient conditions are given for the applicability of the law of the iterated logarithm to a sequence of independent random variables having finite variances. Bibliography: 5 titles. 相似文献
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On the Maximum of Bivariate Normal Random Variables 总被引:1,自引:0,他引:1
Alan P. Ker 《Extremes》2001,4(2):185-190
The behavior of the mean and variance of the maximum of bivariate normal random variables to changes in the means, variances, and covariance of the underlying random variables is considered. 相似文献
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Let {X
n} be a sequence of i.i.d. random variables and let {k} be a sequence of random indexes. We study the problem of the existence of non-degenerated asymptotic distribution for min{X
1,..., X
n}. 相似文献
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V. V. Petrov 《Journal of Mathematical Sciences》2006,133(3):1342-1344
Almost sure estimates of the growth of sums of nonnegative random variables are established. A generalization of author's
result on the growth of sums of the indicators of arbitrary events is obtained. Bibliography: 10 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 311, 2004, pp. 237–241. 相似文献
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Journal of Theoretical Probability - Given a sequence $$(X_n)$$ of symmetrical random variables taking values in a Hilbert space, an interesting open problem is to determine the conditions under... 相似文献