Joint probability is a statistical measure that calculates the likelihood of two events occurring together and at the same point in time.

A discrete distribution is a statistical probability distribution that represents the possible discrete values a variable can take.

Joint and marginal distributions. Expectation and joint moments. Independence. Multivariate transformations. Sums of random variables. Conditional distributions. Conditional moments. Hierarchies and ...

The course covers the probability and distribution theory needed for third year courses in statistics and econometrics.: Events and their probabilities. Random variables. Discrete and continuous ...

The fundamental problem considered is that of the existence of a joint probability distribution for momentum and position at a given instant. The philosophical interest of this problem is that for the ...

Our work extends the theory of speculative markets in two ways. First, we derive from economic theory the joint probability distribution of the price change and the trading volume over any interval of ...