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A Note on the Symplectic Structure on the Space of G-Monopoles
G - Monopoles space structure
2014/12/29
A Note on the Symplectic Structure on the Space of G-Monopoles.
A note on a symplectic structure on the space of G-monopoles
Complex semisimple borel subgroups projection line topological charge mode space nature and space
2014/12/29
Let G be a semisimple complex Lie group with a Borel subgroup B. Let X=G/B be the flag manifold of G. Let C=\PP1 ' ￥Unknown control sequence '\PP' be the projective line. Let a Î H2(\bX,\Bbb Z)Un...
A NOTE ON THE NON-COMMUTATIVE LAPLACE–VARADHAN INTEGRAL LEMMA
Quantum lattice spin system the free energy function
2014/12/24
We continue the study of the free energy of quantum lattice spin systems where to the local Hamiltonian H an arbitrary mean field term is added, a polynomial function of the arithmetic mean of some lo...
A note on monitoring ratios of Weibull percentiles
Bayesian Estimators Statistical Process Control Weibull Distrib ution
2013/6/14
This note introduces a new Bayesian control chart to compare two processes by monitoring the ratio of their percentiles under Weibull assumption. Both in-control and out-of-control parameters are supp...
A Note on Central Limit Theorems for Linear Spectral Statistics of Large Dimensional F-matrix
Linear spectral statistics central limit theorem centralized sample covari-ance matrix centralizedF-matrix simplified sample covariance matrix simplified F-matrix
2013/6/13
Sample covariance matrix and multivariate $F$-matrix play important roles in multivariate statistical analysis. The central limit theorems {\sl (CLT)} of linear spectral statistics associated with the...
A Note on the SPICE Method
Note SPICE Method
2012/11/23
In this article, we analyze the SPICE method developed in [1], and establish its connections with other standard sparse estimation methods such as the Lasso and the LAD-Lasso. This result positions SP...
A note on extreme values and kernel estimators of sample boundaries
support estimation asymptotic normality kernel estimator ex-treme values.
2012/9/18
In a previous paper [3], we studied a kernel estimate of the upper edge of a two-dimensional bounded set, based upon the extreme values of a Poisson point process. The initial paper [1] on the subject...
A note on estimation in Hilbertian linear models
Adaptive estimation consistency functional regression Hilbert spaces infinite-dimensional data.
2012/9/17
We study estimation of the operator in the linear modelY = (X) +", when XandY take values in Hilbert spacesH1 andH2, respectively. Our main objective is to obtain consistency without imposing some rat...
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...
A note on a maximal Bernstein inequality
Bernstein inequality dependent sums maximal inequality mixing
2011/7/19
We show somewhat unexpectedly that whenever a general Bernstein-type maximal inequality holds for partial sums of a sequence of random variables, a maximal form of the inequality is also valid.
A note on global Markov properties for mixed graphs
Graphical models separation global Markov property
2011/7/19
Global Markov properties in mixed graphs are usually formulated in terms of the path-oriented m-separation or by use of augmented graphs (similar to moral graphs in the case of directed acyclic graphs...
A note on the de la Garza phenomenon for locally optimal designs
Locally optimal designs saturated designs complete class the-orem moment spaces Chebyshev systems
2011/6/20
The celebrated de la Garza phenomenon states that for a polyno-
mial regression model of degree p−1 any optimal design can be based
on at most p design points. In a remarkable paper, Yang [Ann...
Limits of densities belonging to an exponential family appear in many applications, {e.g.} Gibbs models in Statistical Physics, relaxed combinatorial optimization, coding theory, critical likelihood c...
Limits of densities belonging to an exponential family appear in many applications, {e.g.} Gibbs models in Statistical Physics, relaxed combinatorial optimization, coding theory, critical likelihood c...
A Note on an R^2 Measure for Fixed Effects in the Generalized Linear Mixed Model
Goodness-of-fit Correlated data Model selection Multiple correlation Maximum likelihood Nonnormal distribution
2010/11/8
Using the LRT statistic, a model V# is proposed for the generalized linear mixed model for
assessing the association between the correlated outcomes and fixed effects. The V# compares
the full model...