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General lower bounds on maximal determinants of binary matrices
General lower bounds maximal determinants binary matrices
2012/9/18
We give general lower bounds on the maximal determinant ofn×n{+1,−1}matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier resultsof de Launey a...
A note on Bayesian credible sets in restricted parameter space problems and lower bounds for frequentist coverage
Bayesian methods Credible sets Frequentist coverage probability Lower bound Restricted Parameter Spending function
2012/9/17
For estimating a lower bounded parametric function in the framework of Marchand and Strawderman(2006), we provide “through” a unified approach a class of Bayesian confidence intervals with credibility...
Sharper lower bounds on the performance of the empirical risk minimization algorithm
empirical risk minimization learning theory lower bound multidimensional central limit theorem uniform central limit theorem
2011/3/24
We present an argument based on the multidimensional and the uniform central limit theorems, proving that, under some geometrical assumptions between the target function $T$ and the learning class $F$...
Lower bounds for volatility estimation in microstructure noise models
Brownian motion Variance estimation Kullback-Leibler divergence Minimaxrate Microstructure noise
2010/3/10
In this paper we derive lower bounds in minimax sense for estimation of the instantaneous
volatility if the diffusion type part cannot be observed directly but under
some additional Gaussian noise. ...
Lower bounds for the minimax risk using $f$-divergences and applications
Minimax lower bounds f-divergences Fano’sinequality Pinsker’s inequality Reconstruction from supportfunctions
2010/3/10
A new lower bound involving f-divergences between
the underlying probability measures is proved for the minimax
risk in estimation problems. The proof just uses the convexity
of the function f and ...
Exact lower bounds on the exponential moments of Winsorized and truncated random variables
exponential moments exact lower bounds Win-sorization truncation large deviations nonuniform Berry-Esseen bounds
2010/3/9
Exact lower bounds on the exponential moments of min(y,X)
and X I {X < y} are provided given the first two moments of a random
variable X. These bounds are useful in work on large deviations probabi...
Lower bounds for posterior rates with Gaussian process priors
Bayesian nonparametrics Gaussian process priors Lower bounds
2009/9/16
Upper bounds for rates of convergence of posterior distributions associated to Gaussian process priors are obtained by van der Vaart and van Zanten in [van der Vaart and van Zanten, Rates of contracti...