It is common in economics to describe the size distribution of income by a parametric function. We will fit some of the most frequently used functional forms (Gamma, Generalized Gamma, Singh-Maddala, Lognormal and Fisk) to the income data made available by the ESRC Data Archive at the University...

Consider a random permutation of a finite number $n$ of known elements representing rewards. These rewards will be made or not made with certain known probabilities. At any stage a reward made can be accepted or rejected, there is no recall and only one reward can be accepted. The problem is to...