This paper considers a class of simultaneous equation models with both discrete and continuous random variables based on normally distributed latent random variables. The model set forth here contains ...

Richard A. Kronmal and Arthur V. Peterson, Jr. The alias method of Walker is a clever, new, fast method for generating random variables from an arbitrary, specified discrete distribution. A simple ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, joint distributions, moment generating functions, law of ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, moment generating functions, law of large numbers, ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...