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Properties of Census Dual System Population Size Estimators
Capture-recapture Correlation Bias Erroneous enumeration Kernel smooth- ing Model bias
2016/1/19
We evaluate three population size estimators, including the post-stratification and lo-gistic regression estimators which has been or will be implemented in the US Census dual system surveys. Conditio...
Ground-state properties of small-size nonlinear dynamical lattices
Particles nonlinear lattice discrete nonlinear schrodinger equation nonlinear optical wave condensate
2014/12/25
We investigate the ground state of a system of interacting particles in small nonlinear lattices with M⩾3 sites, using as a prototypical example the discrete nonlinear Schrödinger equation...
The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions
Two-dimensional nonlinear model of discretization solitary wave
2014/12/24
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schr¨odinger (NLS) model. We use singularity confinement techniques to sug...
Algebraic Properties of a Family of Generalized Laguerre Polynomials
Generalized laguerre polynomials algebraic properties negative integral value parameter
2014/12/24
We study the algebraic properties of Generalized Laguerre Polynomials for negative integral values of the parameter. For integers r,n≥0 , we conjecture that L(−1−n−r)n(x)=∑nj=0(nW...
Regularity Properties of High-dimensional Covariate Matrices
high-dimensional regression instrumental variables sparse estimation compressed sensing random matrix re-stricted eigenvalue compatibility,ℓ q sensitivity computational complex-ity NP-hardness
2013/6/14
Regularity properties such as the incoherence condition, the restricted isometry property, compatibility, restricted eigenvalue and $\ell_q$ sensitivity of covariate matrices play a pivotal role in hi...
Critical Properties of $S^{4}$ System Restudied via Generalized Migdal-Kadanoff Bond-moving Renormalization
Critical Properties System Restudied via Generalized Bond-moving Renormalization
2012/9/17
We study the critical properties of the spin-continuousS4 system on the typical translational in-variant triangular lattices by combining the recently developed generalized Migdal-Kadanoff bond-moving...
Mixing Coefficients Between Discrete and Real Random Variables: Computation and Properties
Mixing Coefficients Between Discrete Real Random Variables Computation Properties
2012/9/17
In this paper we study the problem of estimating the mixing coefficients between two random vari-ables. Three different mixing coefficients are studied,namely alpha-mixing, beta-mixing and phi-mixing ...
Some Pitman Closeness Properties Pertinent to Symmetric Populations
Pitman closeness order statistics symmetric random variables estimators sample median more peaked distribution ranked set sampling median ranked set sampling
2012/9/19
In this paper, we focus on Pitman closeness probabilities when the estimators are symmetrically distributed about the unknown parameter θ. We first consider two symmetric estimatorsˆθ1andˆθ2...
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...
Approximation properties of certain operator-induced norms on Hilbert spaces
L2 approximation Empirical norm Quadratic functionals Hilbert spaces with reproducing kernels Analysis of M-estimators
2011/6/20
We consider a class of operator-induced norms, acting as finite-dimensional
surrogates to the L2 norm, and study their approximation properties over
Hilbert subspaces of L2. The class includes, as a...
On statistical properties of sets fulfilling rolling-type conditions
r-convexity positive reach rolling condition Glivenko-Cantelli classes set estimation boundary length excess mass
2011/6/20
Motivated by set estimation problems, we consider three closely related shape conditions
for compact sets: positive reach, r-convexity and rolling condition. First, the
relations between these shape...
Properties of semi-elementary imsets as sums of elementary imsets
Markov basis semi-graphoid toric ideal
2011/6/20
We study properties of semi-elementary imsets and elementary imsets introduced by
Studen´y [10]. The rules of the semi-graphoid axiom (decomposition, weak union and contraction)
for conditiona...
Asymptotic properties of maximum likelihood estimators in models with multiple change points
change-point fraction common parameter consistency convergence rate Kullback–Leibler distance within-segment parameter
2011/3/24
Models with multiple change points are used in many fields; however, the theoretical properties of maximum likelihood estimators of such models have received relatively little attention. The goal of t...
Mixing properties of ARCH and time-varying ARCH processes
2-mixing absolutely regular (β-mixing) ARCH(∞) conditional densities strong mixing (α-mixing) time-varying ARCH
2011/3/21
There exist very few results on mixing for non-stationary processes. However, mixing is often required in statistical inference for non-stationary processes such as time-varying ARCH (tvARCH) models. ...
Integral representations and properties of operator fractional Brownian motions
dichotomy principle integral representations long-range dependence multivariate Brownian motion operator fractional Brownian motion operator self-similarity
2011/3/18
Operator fractional Brownian motions (OFBMs) are (i) Gaussian, (ii) operator self-similar and (iii) stationary increment processes. They are the natural multivariate generalizations of the well-studie...