Zobrazeno 1 - 10
of 12 123
pro vyhledávání: '"Gaunt IF"'
Autor:
Gaunt, Robert E.
Building on the rather large literature concerning the regularity of the solution of the standard normal Stein equation, we provide a complete description of the best possible uniform bounds for the derivatives of the solution of the standard normal
Externí odkaz:
http://arxiv.org/abs/2410.05475
Autor:
Yang, Sherry, Batzner, Simon, Gao, Ruiqi, Aykol, Muratahan, Gaunt, Alexander L., McMorrow, Brendan, Rezende, Danilo J., Schuurmans, Dale, Mordatch, Igor, Cubuk, Ekin D.
Generative models trained at scale can now produce text, video, and more recently, scientific data such as crystal structures. In applications of generative approaches to materials science, and in particular to crystal structures, the guidance from t
Externí odkaz:
http://arxiv.org/abs/2409.06762
Autor:
Gaunt, Robert E.
We represent the product of two correlated normal random variables, and more generally the sum of independent copies of such random variables, as a difference of two independent noncentral chi-square random variables (which we refer to as the noncent
Externí odkaz:
http://arxiv.org/abs/2408.04101
We use Stein characterizations to obtain new moment-type estimators for the parameters of three classical spherical distributions (namely the Fisher-Bingham, the von Mises-Fisher, and the Watson distributions) in the i.i.d. case. This leads to explic
Externí odkaz:
http://arxiv.org/abs/2407.02299
We prove that the distribution of the product of two correlated normal random variables with non-zero means and arbitrary variances is infinitely divisible. We also obtain exact formulas for the probability density function of the sum of independent
Externí odkaz:
http://arxiv.org/abs/2405.10178
Autor:
Gaunt, Robert E.
We obtain exact formulas for the absolute raw and central moments of the variance-gamma distribution, as infinite series involving the modified Bessel function of the second kind and the modified Lommel function of the first kind. When the skewness p
Externí odkaz:
http://arxiv.org/abs/2404.13709
Adverse reactions caused by drug combinations are an increasingly common phenomenon, making their accurate prediction an important challenge in modern medicine. However, the polynomial nature of this problem renders lab-based identification of advers
Externí odkaz:
http://arxiv.org/abs/2404.11374
We obtain a Stein characterisation of the distribution of the product of two correlated normal random variables with non-zero means, and more generally the distribution of the sum of independent copies of such random variables. Our Stein characterisa
Externí odkaz:
http://arxiv.org/abs/2402.02264
Autor:
Gaunt, Robert E., Li, Siqi
Let $X$ and $Y$ be independent variance-gamma random variables with zero location parameter; then the exact probability density function of the product $XY$ is derived. Some basic distributional properties are also derived, including formulas for the
Externí odkaz:
http://arxiv.org/abs/2401.17446
We use Stein characterisations to derive new moment-type estimators for the parameters of several truncated multivariate distributions in the i.i.d. case; we also derive the asymptotic properties of these estimators. Our examples include the truncate
Externí odkaz:
http://arxiv.org/abs/2312.09344