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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...
Properties of the Reflected Ornstein-Uhlenbeck Process
diffusion approximation Ornstein–Uhlenbeck process refl ecting diffusion steady-state
2015/7/8
Consider an Ornstein–Uhlenbeck process with reflection at the origin. Such a process arises as an approximating process both for queueing systems with reneging or state-dependent balking and for multi...
Recurrence Properties of Autoregressive Processes with Super-Heavy-Tailed Innovations
Recurrence Properties Autoregressive Processes Super-Heavy-Tailed Innovations
2015/7/6
This paper studies recurrence properties of autoregressive (AR) processes with `super-heavy-tailed' innovations. Specifically, we study the case where the innovations are distributed, roughly speaking...
Robustness Properties and Confidence Interval Reliability
Robustness Properties Confidence Interval Reliability
2015/7/6
In this chapter, we discuss the robustness and reliability of the estimators of the probability of a rare event (or, more generally, of the expectation of some function of rare events) with respect to...
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...