3 problems

0 votes0 replies0 views
The Cauchy–Schlömilch formula explanation conjecture for mixture identities
Cauchy–Schlömilch formula explanation conjecture. We conjecture that these two results follow from the Cauchy–Schlömilch formula.
Conjectureopenintegral-identities scale-mixtures stable-distributionsarXiv posted 2 days ago
0 votes0 replies0 views
Log-corrected pointwise rate conjecture for the scale-mixture maximum likelihood estimator
Let $f_0$ be the true density and let $\widehat{f}_n$ be its maximum likelihood estimator in the class of $d$ -dimensional scale mixtures of uniform densities. At a fixed point, Con…
Conjectureopenconvergence-rates nonparametric-estimation scale-mixturesarXiv posted 2 days ago
0 votes0 replies0 views
Conjecture on the maximum likelihood estimator at zero for scale mixtures of uniforms
Let $f_0$ be the true density in the class of $d$ -dimensional scale mixtures of uniform densities, let $\widehat{f}_n$ be its maximum likelihood estimator, and let $P_0$ denote pro…
Conjectureopenmaximum-likelihood nonparametric-estimation scale-mixturesarXiv posted 2 days ago

The Cauchy–Schlömilch formula explanation conjecture for mixture identities