278 citations · 550 across the 11 of their papers we have counts for
11 papers
Asymptotic Equivalence for Nonparametric Generalized Linear Models
Ion Grama, Michael Nussbaum
We establish that a non-Gaussian nonparametric regression model is asymptotically equivalent to a regression model with Gaussian noise. The approximation is in the sense of Le Cam'…
A functional Hungarian construction for sums of independent random variables
Ion Grama, Michael Nussbaum
We develop a Hungarian construction for the partial sum process of independent non-identically distributed random variables. The process is indexed by functions from a class $\…
Asymptotic Equivalence for Nonparametric Regression
Ion Grama, Michael Nussbaum
We consider a nonparametric model generated by independent observations with densities the parameters of which $…
Minimax estimation of low-rank quantum states and their linear functionals
Samriddha Lahiry, Michael Nussbaum
In classical statistics, a well known paradigm consists in establishing asymptotic equivalence between an experiment of i.i.d. observations and a Gaussian shift experiment, with th…
Local asymptotic equivalence of pure quantum states ensembles and quantum Gaussian white noise
Cristina Butucea, Madalin Guta, Michael Nussbaum
Quantum technology is increasingly relying on specialised statistical inference methods for analysing quantum measurement data. This motivates the development of "quantum statistic…
Attainment of the multiple quantum Chernoff bound for certain ensembles of mixed states
Michael Nussbaum
We consider the problem of detecting the true quantum state among r possible ones, based on measurements performed on n of copies of a finite dimensional quantum system. It is know…