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Mathematical Analysis of Random Noise-Conclusion

S. O. Rice
- 01 Jan 1945 - 
- Vol. 24, pp 46-156
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This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.

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On Characteristic Functions of Products of Two Random Variables

TL;DR: This work studies the distribution of the product of two independent random variables, one of them being the standard normal random variable and the other allowed to follow one of nearly fifty distributions.
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On Real Zeros of Self-Similar Random Gaussian Polynomials with Decreasing Variances: Apparition of a Phase Transition

TL;DR: In this paper, the authors consider a random self-similar polynomials where the coefficients form a sequence of independent normally distributed random variables and study the behavior of the expected density of real zeros of these polynomial coefficients when the variances of the middle coefficients are substantially larger than the others.
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A saddlepoint approach to estimating joint extreme value distributions for vector non-stationary Gaussian processes

TL;DR: In this article, the authors estimate the multivariate extreme value distributions associated with a vector of mutually correlated non-stationary Gaussian processes by computing the joint crossing statistics of the vector processes by assuming the crossings to be Poisson counting processes.