Abstract It is increasingly easy to acquire a large amount of data about problem before formulating hypothesis. The idea exploratory analysis (EDA) predates this situation, but many researchers find themselves appealing EDA as an explanation what they are doing with these new resources. Yet there has been relatively little explicit work on or why it might be important. I canvass several positio...

When G is a rooted graph where each edge may independently succeed with probability p, we consider the expected number of vertices in the operational component of G containing the root. This expected value EV (G;p) is a polynomial in p. We present several distinct equivalent formulations of EV (G;p), unifying prior treatments of this topic. We use results on network resilience (introduced by Co...

1. A random variable is a variable that takes specific values with specific probabilities. It can be thought of as a variable whose value depends on the outcome of an uncertain event. 2. We usually denote random variables by capital letters near the end of the alphabet; e.g., X,Y,Z. 3. Example: Let X be the outcome of the roll of a die. Then X is a random variable. Its possible values are 1, 2,...