Cacoullos, Theophilos; Papadatos, Nickos - In: Statistics & Probability Letters 83 (2013) 1, pp. 9-12
A random variable Z will be called self-inverse if it has the same distribution as its reciprocal Z−1. It is shown that if Z is defined as a ratio, X/Y, of two rv’s X and Y (with P[X=0]=P[Y=0]=0), then Z is self-inverse if and only if X and Y are (or can be chosen to be) exchangeable. In...
