Bayes' theorem is a statistical formula used to calculate conditional probability. Learn how it works, how to calculate it ...

Right now, molecules in the air are moving around you in chaotic and unpredictable ways. To make sense of such systems, physicists use a law known as the Boltzmann distribution, which, rather than ...

1 Economic and Technical Research Institute of State Grid Shaanxi Electric Power Company, Xi’an, China 2 Shaanxi Local Electric Power (Group) Co., Ltd., Xi’an, China Accurate prediction of goaf ...

This study introduces a novel and highly flexible class of discrete probability distributions tailored to model the diverse monotonic failure-rate patterns frequently observed in stock-market data.

Interest Rate Probability Distributions Implied by Derivatives Prices is a daily measure of the distribution of future short-term interest rates, calculated from prices of fixed-income derivatives ...

I've been working with MathNet.Numerics.Distributions recently and I'm really confused by certain design decisions. When writing generic algorithms that operate on probability distributions; it's ...

Continuous-variable quantum cryptography has emerged as a significant branch of quantum cryptography, with continuous-variable quantum key distribution (CVQKD) at its core. However, compared to ...

Abstract: This paper addresses the problem of designing nonlinear discrete-time dynamical systems for prospective use in low-complexity random signal generators. Drawing upon ergodic systems theory, ...

Sampling from probability distributions with known density functions (up to normalization) is a fundamental challenge across various scientific domains. From Bayesian uncertainty quantification to ...