Rand Fishkin proved AI recommendations are inconsistent – here’s why and how to fix it

AI outputs vary because confidence varies. Corroboration and entity optimization turn inconsistent AI visibility into consistent presence.
Scientific American

This mathematician proved a brilliant theorem to justify his social awkwardness

George Pólya’s random walk theorem absolved him of being a lurker and revealed how the laws of chance interact with physical ...
IEEE

On the Dispersion Measures of Complex Uncertain Random Variables

Abstract: In probability theory, variance is a device to measure dispersion of random variable from its mean. In order to explain complex uncertain random variable,variance and pseudo-variance are ...
Investopedia

Simple Random Sampling: 6 Basic Steps With Examples

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...
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 ...
IEEE

Law of Large Numbers for Uncertain Random Variables

Abstract: The law of large numbers in probability theory states that the average of random variables converges to its expected value in some sense under some conditions. Sometimes, random factors and ...
Scientific Research Publishing

Papoulis, A. and Pillai, U. (2002) Probability, Random Variables and Stochastic Processes. 4th Edition, McGraw Hill, Boston.

ABSTRACT: The original Bell inequality was obtained in a statistical derivation assuming three mutually cross-correlated random variables (four in the later version). Given that observations destroy ...
Scientific Research Publishing

Papoulis, A. (1965) Probability, Random Variables, and Stochastic Processes. Mc-Graw-Hill, p. 238.

ABSTRACT: The original Bell inequality was obtained in a statistical derivation assuming three mutually cross-correlated random variables (four in the later version). Given that observations destroy ...