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Limit Theorems for Some Critical Superprocesses
Superprocess critical superprocess non-extinction rate central limit theorem
2016/1/25
In this paper we establish some conditional limit theorems for some critical superprocesses X = {X t ,t ≥ 0}. First we identify the rate of non-extinction. Then we show that, for a large class of func...
Limit Theorems for Some Critical Superprocesses
Superprocess critical superprocess non-extinction rate central limit theorem
2016/1/20
In this paper we establish some conditional limit theorems for some critical superprocesses X = {X t ,t ≥ 0}. First we identify the rate of non-extinction. Then we show that, for a large class of func...
Conditional limit theorems for critical continous-state branching processes
Empirical likelihood high dimensional data analysis independence sure screening large deviation
2016/1/20
In this paper we study the conditional limit theorems for critical continuous-state branching processes with branching mechanism ψ(λ) = λ 1+α L(1/λ)where α ∈ [0,1] and L is slowly varying at ∞. We pro...
Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
Complex structures the transition phase Blume - Emery - Griffiths model spin moderate deviation the total spin
2014/12/25
We derive probabilistic limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume–Emery–Griffiths model [Phys. Rev. A 4 (1971) 1071–1077]. These ...
Asymptotic behavior of the magnetization near critical and tricritical points via Ginzburg-Landau polynomials
Asymptotic behavior of magnetization gold landau lattice model of the spin
2014/12/25
The purpose of this paper is to prove connections among the asymptotic behavior of the magnetization, the structure of the phase transitions, and a class of polynomials that we call the Ginzburg–Landa...
Surprising Asymptotic Conical Structure in Critical Sample Eigen-Directions
PCA High Dimension Boundary Behavior Consistency
2013/4/28
The aim of this paper is to establish several deep theoretical properties of principal component analysis for multiple-component spike covariance models. Our new results reveal a surprising asymptotic...
Critical dimension in profile semiparametric estimation
maximum likelihood local quadratic bracketing spread local concentration
2013/4/28
This paper revisits the classical inference results for profile quasi maximum likelihood estimators (profile MLE) in the semiparametric estimation problem. We mainly focus on two prominent theorems: t...
Testing in the Presence of Nuisance Parameters: Some Comments on Tests Post-Model-Selection and Random Critical Values
Nuisance Parameters Post-Model-Selection Random Critical Values
2012/11/22
We point out that the ideas underlying some test procedures recently proposed for testing post-model-selection (and for some other test problems) in the econometrics literature have been around for qu...
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...
Change point analysis of an exponential model based on Phi-divergence test-statistics: simulated critical points case
Change poin Exponential model Likelihood ratio test
2011/7/19
Recently Batsidis \textit{et al.} (2011) have presented a new procedure based on divergence measures for testing the hypothesis of the existence of a change point in exponential populations.
Statistics of statisticians: Critical mass of statistics and operational research groups in the UK
Critical mass of statistics operational research groups statisticians
2011/3/24
Using a recently developed model, inspired by mean field theory in statistical physics, and data from the UK's Research Assessment Exercise, we analyse the relationship between the quality of statisti...
Simultaneous critical values for $t$-tests in very high dimensions
empirical processes FDR high dimension microarrays multiple hypothesis testing one-sample t-statistics self-normalized moderate deviation two-sample t-statistics
2011/3/21
This article considers the problem of multiple hypothesis testing using $t$-tests. The observed data are assumed to be independently generated conditional on an underlying and unknown two-state hidden...
The Search for Certainty:a critical assessment
Foundations frequentist statistics Bayesian statistics vonMises de Finetti probability theory
2010/3/9
The book The Search for Certainty published in 2009 by Krzysztof
Burdzy examines the “philosophical duopoly” at the foundation of statistics and
find it missing. We point out in this review the weak...
OCCUPATION TIME FLUCTUATIONS OF POISSON AND EQUILIBRIUM BRANCHING SYSTEMS IN CRITICAL AND LARGE DIMENSIONS
Functional central limit theorem occupation time fluctuations branching particles systems
2009/9/18
Limit theorems are presented for the rescaled occupation
time fluctuation process of a critical finite variance branching particle system
in Rd with symmetric ®-stable motion starting off from ...
Laws of large numbers for the occupation time of an age-dependent critical binary branching system
Infinite particle system age-dependent branching occupation times strong laws of large numbers
2009/6/15
Laws of large numbers for the occupation time of an age-dependent critical binary branching system.