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Explicit Bounds for the Distribution Function of the Sum of Dependent Normally Distributed Random Variables
Explicit Bounds Dependent Normally Distributed Random Variables Distribution Function of the Sum
2011/9/19
Abstract: In this paper an analytic expression is given for the bounds of the distribution function of the sum of dependent normally distributed random variables. Using the theory of copulas and the i...
Moments of Sums of Independent and Identically Distributed Random Variables
iid random variables sums of iid random variables
2011/6/20
Let X1,X2, . . . ,Xn be independent and identically distributed random
variables. We present an analytic method for computing the
moments of Sn =
Pn
i=1 Xi. The method is illustrated with a simple...
Multivariate non-normally distributed random variables in climate research–introduction to the copula approach
random variables climate research introduction copula approach
2009/11/2
Probability distributions of multivariate random variables are generally more complex compared to their univariate counterparts which is due to a possible nonlinear dependence between the random varia...
On complete convergence for partial sums of independent identically distributed random variables
complete convergence independent identically distributed random variables
2009/9/23
On complete convergence for partial sums of independent identically distributed random variables。