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Small Value Probabilities for Supercritical Branching Processes with Immigration
Supercritical Galton-Watson branching process small value probability immigration
2016/1/25
We consider a supercritical Galton-Watson branching process with immigration. It is well known that under suitable conditions on the offspring and immigration distributions, there is a finite,strictly...
Small Value Probabilities for Supercritical Branching Processes with Immigration
Supercritical Galton-Watson branching process small value probability immigration
2016/1/20
We consider a supercritical Galton-Watson branching process with immigration. It is well known that under suitable conditions on the offspring and immigration distributions, there is a finite,strictly...
Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
Discrete schrodinger propagator klein Gordon equation form the analysis of decay estimate
2014/12/29
We show decay estimates for the propagator of the discrete Schrödinger and Klein–Gordon equations in the form {{\| {U(t)f} \|}_{{l^\infty}}} \leq C (1+|t|)^{-d/3}{{\| {f} \|}_{{l^1}}} . This impl...
Modules over the small quantum group and semi-infinite flag manifold
Abnormal manifold bundle of semi-infinite flag subclass sheaf quantum
2014/12/25
We develop a theory of perverse sheaves on the semi-infinite flag manifold G((t))/N((t)) · T[[t]], and show that the subcategory of Iwahori-monodromy perverse sheaves is equivalent to the regular bloc...
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...
Asymptotic stability of small solitons in the discrete nonlinear Schr¨odinger equation in one dimension
Small solitary wave one dimensional discrete nonlinear septic nonlinear power law equation
2014/12/25
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete nonlinear Schr¨odinger equation with septic and higher power-law nonlinearities and an external potenti...
Two-stage Benchmarking as Applied to Small Area Estimation
Two-stage Benchmarking as Applied to Small Area Estimation
2013/6/14
There has been recent growth in small area estimation due to the need for more precise estimation of small geographic areas, which has led to groups such as the U.S. Census Bureau, Google, and the RAN...
Spatial Fay-Herriot Models for Small Area Estimation with Functional Covariates
American Community Survey Bayesian hierarchical modeling GoogleTrends Spatial statistics Stochastic search variable selection
2013/4/28
The Fay-Herriot (FH) model is widely used in small area estimation and uses auxiliary information to reduce estimation variance at undersampled locations. We extend the type of covariate information u...
Demmartingales and the functionnal Hill process for small parameters
Associated random variables demimartingales asymptotic laws func-tional Hill process extreme value theory statistical tests.
2012/9/17
Association of random variables and Demimartingales are recent elds for handling asymptotic behaviors of sums of dependent random vari-ables. We apply their techniques to establish the asymptotic law...
Bayesian Subset Simulation: a kriging-based subset simulation algorithm for the estimation of small probabilities of failure
Computer experiments Sequential design Subset Simulation Probability of failure
2012/9/19
The estimation of small probabilities of failure from computer simulations is a classical problem in engineering, and the Subset Simulation algorithm proposed by Au & Beck (Prob. Eng. Mech., 2001) has...
A Bayesian Approach to Detection of Small Low Emission Sources
Bayes factor Model selection Parallel tempering Radiation source detection
2011/7/19
The article addresses the problem of detecting presence and location of a small low emission source inside of an object, when the background noise dominates. This problem arises, for instance, in some...
Heavy tailed priors: an alternative to non-informative priors in the estimation of proportions on small areas
Survey Sampling Exponential Family Objective Robust Priors
2011/7/19
We explore the Cauchy and a new heavy tailed (Fuquene, Perez and Pericchi (2011)) priors to estimate proportions on small areas.
Estimating Bernoulli trial probability from a small sample
estimation of population mean sampling without replacement confidence interval coin-tossing prob-lems regularized incomplete beta function Bernoulli process
2011/6/21
The standard textbook method for estimating the probability of a biased coin from finite tosses implicitly
assumes the sample sizes are large and gives incorrect results for small samples. We describ...
Comment on “Fastest learning in small-world neural networks”
Feed-forward neural network small-world network random network
2010/3/11
This comment reexamines Simard et al.’s work in [D. Simard, L. Nadeau, H. Kröger, Phys.
Lett. A 336 (2005) 8-15]. We found that Simard et al. calculated mistakenly the local connectivity
length...
A Binary Control Chart to Detect Small Jumps
Binary Control Chart Small Jumps independent binary
2010/3/9
The classic N p chart gives a signal if the number of successes in a sequence of inde-
pendent binary variables exceeds a control limit. Motivated by engineering applications
in industrial image pro...