A probability density function (PDF) describes the likelihood of different outcomes for a continuous random variable.

The main property of a discrete joint probability distribution can be stated as the sum of all non-zero probabilities is 1. The next line shows this as a formula. The marginal distribution of X can be ...

In cases where the utility function is increasing with upper and lower bounds then the utility function can be characterized by a distribution function, and we can take advantage of the various ...

D. L. Burkholder, Distribution Function Inequalities for Martingales, The Annals of Probability, Vol. 1, No. 1 (Feb., 1973), pp. 19-42 ...

If there are mi observations in a subpopulation i, then the probability distribution of the number falling into the k categories yi = (yi1, yi2, ... yik) can be modeled by the multinomial distribution ...