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math.PR2021
A note on one-dimensional Poincaré inequalities by Stein-type integration
Gilles Germain, Yvik Swan
We study the weighted Poincaré constant of a probability density with weight function using integration methods inspired by Stein's method. We obtain a new version…
math.PR2021
Stein's method and approximating the multidimensional quantum harmonic oscillator
Ian W. McKeague, Yvik Swan
Stein's method is used to study discrete representations of multidimensional distributions that arise as approximations of states of quantum harmonic oscillators. These representat…
math.PR2021
Stein's density method for multivariate continuous distributions
Guillaume Mijoule, Martin Raič, Gesine Reinert +1
This paper provides a general framework for Stein's density method for multivariate continuous distributions. The approach associates to any probability density function a canonica…