Results 21 to 30 of about 440,858 (262)

Random convolution of inhomogeneous distributions with $\mathcal{O}$-exponential tail

Modern Stochastics: Theory and Applications, 2016
Let $\{\xi _{1},\xi _{2},\dots \}$ be a sequence of independent random variables (not necessarily identically distributed), and η be a counting random variable independent of this sequence. We obtain sufficient conditions on $\{\xi _{1},\xi _{2},\dots \}$
Svetlana Danilenko, Simona Paškauskaitė, Jonas Šiaulys   +2 more
doaj   +1 more source

Sums of Stationary Random Variables [PDF]

Proceedings of the American Mathematical Society, 1960
A sequence x(t) (-oo
openaire   +1 more source

Theoretical approach for uncertainty quantification in probabilistic safety assessment using sum of lognormal random variables

Nuclear Engineering and Technology, 2022
Probabilistic safety assessment is widely used to quantify the risks of nuclear power plants and their uncertainties. When the lognormal distribution describes the uncertainties of basic events, the uncertainty of the top event in a fault tree is ...
Gyun Seob Song, Man Cheol Kim
doaj   +1 more source

Summing free unitary random matrices [PDF]

Physical Review E, 2011
17 pages, 15 ...
openaire   +3 more sources

Randomness of character sums modulo m

Journal of Number Theory, 2012
16 pages ...
Lamzouri, Youness, Zaharescu, Alexandru
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Sums of standard uniform random variables [PDF]

Journal of Applied Probability, 2019
AbstractIn this paper, we analyse the set of all possible aggregate distributions of the sum of standard uniform random variables, a simply stated yet challenging problem in the literature of distributions with given margins. Our main results are obtained for two distinct cases.
Mao, Tiantian, Wang, Bin, Wang, Ruodu
openaire   +2 more sources

On Sums of Lognormal Random Variables [PDF]

Studies in Applied Mathematics, 1986
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.
Barouch, E., Kaufman, G. M., Glasser, M. L.   +2 more
openaire   +1 more source

Phase Optimization for Massive IRS-Aided Two-Way Relay Network

IEEE Open Journal of the Communications Society, 2022
In this paper, with the help of an intelligent reflecting surface (IRS), the source (S) and destination (D) exchange information through the two-way decode-and-forward relay (TW-DFR).
Peng Zhang, Xuehui Wang, Siling Feng, Zhongwen Sun, Feng Shu, Jiangzhou Wang   +5 more
doaj   +1 more source

The Sum and Difference of Two Lognormal Random Variables

Journal of Applied Mathematics, 2012
We have presented a new unified approach to model the dynamics of both the sum and difference of two correlated lognormal stochastic variables. By the Lie-Trotter operator splitting method, both the sum and difference are shown to follow a shifted ...
C. F. Lo
doaj   +1 more source

Computation of the Distribution of the Sum of Independent Negative Binomial Random Variables

Mathematical and Computational Applications, 2023
The distribution of the sum of negative binomial random variables has a special role in insurance mathematics, actuarial sciences, and ecology. Two methods to estimate this distribution have been published: a finite-sum exact expression and a series ...
Marc Girondot, Jon Barry
doaj   +1 more source