5 citations · 13 across the 15 of their papers we have counts for
18 papers
Teachable normal approximations to binomial and related probabilities or confidence bounds
Lutz Mattner
For the usual normal approximations to binomial, hypergeometric, or Poisson interval probabilities, we collect some simple but then reasonably sharp error bounds. For the Clopper-P…
A sharper Lyapunov-Katz central limit error bound for i.i.d. summands Zolotarev-close to normal
Lena Jonas, Lutz Mattner
We prove a central limit error bound for convolution powers of laws with finite moments of order , taking a closeness of the laws to normality into…
A convolution inequality, yielding a sharper Berry-Esseen theorem for summands Zolotarev-close to normal
Lutz Mattner
The classical Berry-Esseen error bound, for the normal approximation to the law of a sum of independent and identically distributed random variables, is here improved by replacing…
Extreme expectations of Bernoulli convolutions given their first few moments are attained at shifted convolutions of as few binomials
Lutz Mattner
A result of Chebyshev (1864) and Hoeffding1956}, on bounding an expectation of a given function with respect to a Bernoulli convolution (also called Poisson binomial law, or law of…
An optimal Berry-Esseen type theorem for integrals of smooth functions
Lutz Mattner, Irina Shevtsova
We prove a Berry-Esseen type inequality for approximating expectations of sufficiently smooth functions , like , with respect to standardized convolutions of laws $…
The medians for exponential families and the normal law
Gerard Letac, Lutz Mattner, Mauro Piccioni
Let a probability on the real line generating a natural exponential family . We show that is a median of for all only if is the standard Gaus…