Aaron Smith

collaborators

4 papers

math.PR2013

Comparison Theory for Markov Chains on Different State Spaces and Application to Random Walk on Derangements

Aaron Smith

Let $X_{t}$ and $Y_{t}$ be two Markov chains, on state spaces $Ω \subset Ω^$ . In this paper, we discuss how to prove bounds on the spectrum of $X_{t}$ based on bounds on the spec…

math.ST2013

Benford-Newcomb Subsequences for Fraud Detection

Aaron Carl Smith

Benford's law is frequently used to evaluate the likihood that data is misrepresentative. Typically statistical tests measure the likihood. Another method of employing Benford's la…

math.PR2012

The Cutoff Phenomenon for Random Birth and Death Chains

Aaron Smith

For any distribution $π$ with support equal to $[n] = {1, 2, ..., n}$ , we study the set $A_{π}$ of tridiagonal stochastic matrices $K$ satisfying $π(i) K[i,j] = π(j) K[j,…

math.DS2012

Using Householder Matrices to Establish Mixing Test Critical Values

Aaron Carl Smith

A measure-preserving dynamical system can be approximated by a Markov shift with a bistochastic matrix. This leads to using empirical stochastic matrices to measure and estimate pr…