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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 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...
We consider the group lasso penalty for the linear model. We note that
the standard algorithm for solving the problem assumes that the model
matrices in each group are orthonormal. Here we consider ...
A note on weak convergence of random step processes
Weak convergence of semimartingales diffusion process
2010/4/26
First, sufficient conditions are given for a triangular array of random vectors such that the sequence of related random step functions converges towards a (not necessarily time homogeneous) diffusion...
A note on the estimation of degree of differencing in long memory time series analysis
the estimation of degree long memory time series analysis
2009/9/23
In this paper we investigate the properties of the
estimator of degree of differencing the fractional d in long memory
time series analysis via consistent spectral density estimation. It is
shown t...
A note on convergence rates in the strong law for strong mixing sequences
convergence rates the strong law for strong mixing sequences
2009/9/22
For partial sums {S,) of a stationary ergodic sequence
{X,} with zero mean we find conditions for
m
ny-'Pr {sup (S Jk) > E ] < m
n= 1 k?n
in terms of the strong mixing weficients {a,,) and moment...
A note on the rate of convergence for p-convolutions on R(d)
the rate of convergence p-convolutions on R(d)
2009/9/22
This paper focuses on pconvolutions, a class of generalized
convolutions of random vectors. It establishes the rate of convergence
in uniform (Kolmogorov) metric for normalized n-fold p-convolution
...