Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex ...

Foundational contributions in the unification of conditional probability with fuzzy set theory have further underscored the relevance of possibility functions, emphasising their capacity to ...

The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis is on importance and interest; formal novelty and ...

The course covers the probability and distribution theory needed for advanced courses in statistics and econometrics.: Topics covered: Probability. Conditional probability and independence. Random ...

How Quantum Probability Theory Could Explain Human Logical Fallacies A quantum model of reasoning beats its classical counterpart in explaining why humans make errors in judging probabilities.

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

A key fact in the theory of Boolean functions f: {0, 1}n → {0, 1} is that they often undergo sharp thresholds. For example, if the function f: {0, 1}n → {0, 1} is monotone and symmetric under a ...