We consider the recently introduced Transformation-based Markov Chain Monte Carlo (TMCMC) (Stat. Methodol. 16 (2014) 100–116), a methodology that is designed to update all the parameters ...

Let W(π) be either the number of descents or inversions of a permutation $\pi \in S_{n}$. Stein's method is applied to show that W satisfies a central limit theorem ...