Let P be the transition matrix of a positive recurrent Markov chain on the integers with invariant probability vector πT, and let(n) P̃ be a stochastic matrix, formed by augmenting the entries of the ...

One of the ways that Pi Mu Epsilon promotes scholarship in mathematics is through the publishing of the Pi Mu Epsilon Journal. The sole purpose of this journal is to present papers and mathematical ...

Stein's method has emerged as a powerful and versatile tool in probability theory for deriving error bounds in distributional approximations. Originally developed to ...