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math.PR2011★ 6 cited
Discrete Stein characterizations and discrete information distances
Christophe Ley, Yvik Swan
We construct two different Stein characterizations of discrete distributions and use these to provide a natural connection between Stein characterizations for discrete distribution…
math.PR2011
A note on the normal approximation error for randomly weighted self-normalized sums
Siegfried Hoermann, Yvik Swan
Let $\bX=\{X_n\}_{n\geq 1}$ and $\bY=\{Y_n\}_{n\geq 1}$ be two independent random sequences. We obtain rates of convergence to the normal law of randomly weighted self-normalized s…