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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...
Asymptotic Behaviour of Approximate Bayesian Estimators
Parameter Estimation Hidden Markov Model Maximum Likelihood Approximate Bayesian Computation Sequential Monte Carlo
2011/6/20
Although approximate Bayesian computation (ABC) has become
a popular technique for performing parameter estimation when the
likelihood functions are analytically intractable there has not as yet
be...
On the limit behaviour of random sums of independent random variables
the limit behaviour random sums independent random variables
2009/9/24
On the limit behaviour of random sums of independent random variables。
Asymptotic behaviour of the integral of a function on the level set of a mixing random field
Asymptotic behaviour the integral of a function the level set of a mixing random field
2009/9/23
Asymptotic behaviour of the integral of a function on the level set of a mixing random field。
Tail behaviour of multiple random integrals and $U$-statistics
multiple Wiener--Itô integrals (degenerate) $U$-statistics large-deviation type estimates diagram formula
2009/5/18
This paper contains sharp estimates about the distribution of multiple random integrals of functions of several variables with respect to a normalized empirical measure, about the distribution of $U$-...
EXTREMAL BEHAVIOUR INMODELS OF SUPERPOSITION OF RANDOM VARIABLES
extreme value nonstationarity extremal index superposition of point processes
2009/2/26
Let X(i) ={Xgi(n)}n1, i=1, 2, be sequences of random variables, where {gi(n)}n1
are disjoint and strictly increasing sequences of integer numbers such that {g1(n)}n1 ∪
{g2(n)}n1 = N. Using super...
ASYMPTOTIC BEHAVIOUR OF REGULAR ESTIMATORS
Extreme values domain of attraction excesses generalized Pareto distribution maximum likelihood estimators
2009/2/26
The P.O.T. (Peaks-Over-Threshold) approach consists of using the generalized Pareto
distribution (GPD) to approximate the distribution of excesses over thresholds.
We use the maximum likelihood esti...