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Optimum allocation in multivariate stratified random sampling: Stochastic matrix optimisation
Multivariate stratified random sampling modified E-model stochastic programming optimum allocation integer programming E-model V -model P-model
2011/6/17
The allocation problem for multivariate stratified random sampling as a problem of
stochastic matrix integer mathematical programming is considered. With these aims
the asymptotic normality of sampl...
Noisy matrix decomposition via convex relaxation: Optimal rates in high dimensions
Noisy matrix decomposition via convex relaxation high dimensions
2011/3/24
We analyze a class of estimators based on convex relaxation for solving high-dimensional matrix decomposition problems. The observations are the noisy realizations of the sum of an (appproximately) lo...
A lower bound for the Graver complexity of the incidence matrix of a complete bipartite graph
algebraic statistics contingency table three-way transportation pro-gram
2011/3/24
We give an exponential lower bound for the Graver complexity of the incidence matrix of a complete bipartite graph of arbitrary size. Our result is a generalization of the result by Berstein and Onn (...
Concentration-Based Guarantees for Low-Rank Matrix Reconstruction
Low-Rank Matrix Reconstruction
2011/3/25
We consider the problem of approximately reconstructing a partially-observed, approximately low-rank matrix. This problem has received much attention lately, mostly using the trace-norm as a surrogate...
A Weak Law of Large Numbers for the Sample Covariance Matrix
Law of large numbers,affine normalization sample covariance domain of attraction generalized domain of attraction
2009/5/4
In this article we consider the sample covariance matrix formed from a sequence of independent and identically distributed random vectors from the generalized domain of attraction of the multivariate ...
A note on r-balayages of matrix-exponential L'evy processes
L'evy process matrix-exponential distribution first exit balayage ruin theory
2009/4/29
In this note we give semi-explicit solutions for $r$-balayages of matrix-exponential-Lévy processes. To this end, we turn to an identity for the joint Laplace transform of the first entry time and the...