This note suggests that expressing a distribution function as a mixture of suitably chosen distribution functions leads to improved methods for generating random variables in a computer. The idea is ...

Applicable Analysis and Discrete Mathematics, Vol. 10, No. 2 (October 2016), pp. 408-446 (39 pages) An associative Boolean tree is a plane rooted tree whose internal nodes are labelled by AND or OR ...

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 ...