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 ...

This paper considers some problems in the probabilistic analysis of physical evidence in criminal investigations. Two basic assumptions are made: (1) That the number of persons or objects possessing a ...

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

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 ...