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THE CHERNOFF LOWER BOUND FOR SYMMETRIC QUANTUM HYPOTHESIS TESTING
CHERNOFF LOWER BOUND SYMMETRIC QUANTUM HYPOTHESIS TESTING
2015/8/25
We consider symmetric hypothesis testing in quantum statistics, where the hypotheses are density operators on a finite-dimensional complex Hilbert space, representing states of a finite quantum system...
The Sharp Lower Bound of Asymptotic Efficiency of Estimators in the Zone of Moderate Deviation Probabilities
The Sharp Lower Bound Asymptotic Efficiency of Estimators the Zone of Moderate Deviation Probabilities Statistics Theory
2012/6/27
For the zone of moderate deviation probabilities the local asymptotic minimax lower bound of asymptotic efficiency of estimators is established. The estimation parameter is multidimensional. The lower...
A Chernoff-type Lower Bound for the Gaussian Q-function
Chernoff-type Lower Bound the Gaussian Q-function Probability
2012/3/1
A lower bound for the Gaussian Q-function is presented in the form of a single exponential function with parametric order and weight. The bound combines the simplicity of the classical Chernoff bound ...
Minimax lower bound for kink location estimators in a nonparametric regression model with long-range dependence
nonparametric regression long-range dependence kink minimax
2011/9/22
Abstract: In this paper, a lower bound is determined in the minimax sense for change point estimators of the first derivative of a regression function in the fractional white noise model. Similar mini...
A Wowzer Type Lower Bound for the Strong Regularity Lemma
Wowzer Type Lower Bound Regularity Lemma
2011/9/20
Abstract: The regularity lemma of Szemeredi asserts that one can partition every graph into a bounded number of quasi-random bipartite graphs. In some applications however, one would like to have a st...
A natural lower bound for the size of nodal sets
natural lower bound size of nodal sets Analysis of PDEs
2011/9/14
Abstract: We prove a natural inequality which implies the known lower bounds for the $(n-1)$-dimensional Hausdorff measure of nodal sets for smooth compact manifolds.
A Lower Bound for the Number of Group Actions on a Compact Riemann Surface
Riemann surface automorphism signature mapping class group
2011/9/14
Abstract: We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus $\sigma \geq 2$ is at least quadratic in $\sigma$. We do this through the introduction of a co...
A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda estimate
lower bound blowup rates 3D incompressible Euler exponential Beale-Kato-Majda estimate
2011/8/23
Abstract: We prove a Beale-Kato-Majda criterion for the loss of regularity for solutions of the incompressible Euler equations in $H^{s}(\R^3)$, for $s>\frac52$. Instead of double exponential estimate...
Abstract: By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_\psi is a bounded Hankel form on H^2(D^d) w...
A lower bound for eigenvalues of the poly-Laplacian with arbitrary order
the eigenvalue problem a lower bound for eigenvalues
2011/1/21
In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an n-dimensional Euclidean space and obtain a lower bound for eigenvalues, which gives an importan...
A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
topological entropy Anosov symplectic diffeomorphisms
2010/11/17
We prove that a $C^1-$generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of the periodic ...
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
Optimal Lower Bound Communication Complexity Gap-Hamming-Distance
2010/12/15
We prove an optimal W(n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal multi-pass space lower...
Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain
Lower bound lifespan of solutions semilinear wave equations
2010/11/30
We consider the Cauchy-Dirichlet problem for semilinear wave equations in a three space dimensional domain exterior to a bounded and non-trapping obstacle. We obtain a detailed estimate for the lower ...
A Lower Bound on the Estimator Variance for the Sparse Linear Model
Sparsity parameter estimation sparse linear model denoising
2010/12/8
We study the performance of estimators of a sparse nonrandom vector based on an observation which is linearly transformed and corrupted by additive white Gaussian noise.
lower bound of the first eigenvalue of certain self-adjoint elliptic operators on manifolds containing long necks
lower bound manifolds containing long necks certain self-adjoint elliptic operators
2010/3/5
In this note, under certain regularity and transversality conditions we obtain a sharp lower bound of the first eigenvalue for certain self-adjoint elliptic operators on manifolds with long necks. Thi...