Nature

Statistical Convergence of Random Variables

Statistical convergence of random variables provides a rigorous framework to describe how sequences of random quantities approach limiting behaviour in probability, in distribution and in more refined ...
Investopedia

Monte Carlo Simulation: What It Is, How It Works, History, 4 Key Steps

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...
JSTOR Daily

A Central Limit Theorem for $m$-Dependent Random Variables with Unbounded $m$

This is a preview. Log in through your library . Abstract For each $k = 1, 2, \cdots$ let $n = n(k)$, let $m = m(k)$, and suppose $y_1^k, \cdots, y_n^k$ is an $m ...
mccormick.northwestern.edu

ELEC_ENG 422: Random Processes in Communications and Control I

CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...
The Conversation

Probability underlies much of the modern world – an engineering professor explains how it actually works

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the most important concept in modern science, especially as nobody has the ...
Quanta Magazine

Elegant Six-Page Proof Reveals the Emergence of Random Structure

When the mathematicians Jeff Kahn and Gil Kalai first posed their “expectation threshold” conjecture in 2006, they didn’t believe it themselves. Their claim — a broad assertion about mathematical ...