Barry C. Arnold

TL;DR: In this paper, the problem of deciding whether or not a set of conditional probabilities are compatible, and if they are, obtaining all the associated compatible joint probabilities is dealt with, and a technique called "rank one extension" is shown to be particularly convenient for identifying all possible compatible distributions corresponding to both complete and partial conditional specifications including the case with zero.

TL;DR: In this article, a stochastic model is presented which yields a stationary Markov process whose invariant distribution is logistic and is closely related to the autoregressive Pareto processes introduced earlier by Yeh et al.

TL;DR: In this article, two classes of k-dimensional distributions with generalized Pareto conditionals are characterized and subsumed and extended earlier work on distributions with pareto conditionalals.

TL;DR: In this paper, three characterizations of the arcsine distribution of the sine of a symmetric random variable are presented, and one of the characterizations is used to quantify the heavy-tailed nature of the arcine distribution.

TL;DR: This paper will show how particular choices of the numbers of variables involved and their powers will result in interesting and useful distributions and how these distributions may help to shed some new light on some well-known distributions.