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A NOTE ON THE NON-COMMUTATIVE LAPLACE–VARADHAN INTEGRAL LEMMA
Quantum lattice spin system the free energy function
2014/12/24
We continue the study of the free energy of quantum lattice spin systems where to the local Hamiltonian H an arbitrary mean field term is added, a polynomial function of the arithmetic mean of some lo...
Noisy Laplace deconvolution with error in the operator
Laplace convolution blind deconvolution nonparametric adaptive estima-tion linear inverse problems error in the operator
2013/4/28
We adress the problem of Laplace deconvolution with random noise in a regression framework. The time set is not considered to be fixed, but grows with the number of observation points. Moreover, the c...
Mixtures of Shifted Asymmetric Laplace Distributions
Mixtures Shifted Asymmetric Laplace Distributions
2012/9/19
A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classi cation. A variant of the EM algorithm is developed for parameter estimation by exploiting the rel...
Laplace deconvolution and its application to Dynamic Contrast Enhanced imaging
Laplace deconvolution complexity penalty Dynamic Contrast Enhanced imaging
2012/9/19
In the present paper we consider the problem of Laplace deconvolution with noisy discrete observations. The study is motivated by Dynamic Contrast Enhanced imaging using a bolus of contrast agent, a p...
Laplace deconvolution with noisy observations
adaptivity kernel estimation minimax rates Volterra equation
2011/7/19
In the present paper we consider Laplace deconvolution on the basis of discrete noisy data observed on the interval which length may increase with a sample size. Although this problem arises in a vari...
Estimation of latent variable models for ordinal data via fully exponential Laplace approximation
GLLVM Bartholomew response pattern parameters latent variable models Laplace
2011/6/17
Latent variable models represent a useful tool in the social sciences where the analyzed
constructs cannot be directly observed and, hence, they are not measurable. However, a set
of indicators rela...
A diffusion equation for the density of the ratio of Gaussian variables and the numerical inversion of Laplace transform
parabolic equations random matrices kernel estimation
2011/3/21
It is shown that the density of the ratio of two Gaussian random variables with the same variance satisfies a non stationary diffusion equation. Implications of this result for kernel density estimati...
Positive-part moments via the Fourier-Laplace transform
positive-part moments characteristic functions Fourier transforms Fourier-Laplace transforms integral representations
2010/3/18
Integral expressions for positive-part moments EXp
+ (p > 0) of random variables X are presented, in terms of the Fourier-Laplace or
Fourier transforms of the distribution of X. A necessary and suff...
How many Laplace transforms of probability measures are there?
Laplace Transform bracketing metric entropy completely monotone func-tions smooth Gaussian process small deviation probability
2010/3/9
A bracketing metric entropy bound for the class of Laplace transforms of probability
measures on [0,1) is obtained through its connection with the small deviation
probability of a smooth Gaussian pr...
Posterior predictive arguments in favor of the Bayes-Laplace prior as the consensus prior for binomial and multinomial parameters
Bayesian inference binomial distribution invariance noninformative prior
2009/9/24
It is argued that the posterior predictive distribution for the binomial
and multinomial distributions,when viewed via a hypergeometric-like representa-
tion, suggests the uniform prior on the param...
Autoregressive Laplace functionals on stochastic processes
Autoregressive Laplace functionals stochastic processes
2009/9/22
The paper deals with non-negative stochastic processes
X ( t , a) (t 3 0) with stationary and independent increments, continuous
on the right sample functions, non-degenerate to 0, and falling
the ...
A Note on the Product of Normal and Laplace Random Variables
A Note the Product of Normal Laplace Random Variables
2009/9/17
A Note on the Product of Normal and Laplace Random Variables。
Posterior Distributions for the Laplace Mean Arising from Ratios
Posterior Distributions Laplace Mean Arising Ratios
2009/9/17
Posterior Distributions for the Laplace Mean Arising from Ratios。
Goodness of fit tests for the skew-Laplace distribution
Maximum likelihood estimator non-regular models Anderson-Darling statistic Cramer-von Mises statistic
2009/2/23
The skew-Laplace distribution is frequently used to fit the logarithm of particle sizes and it is also used in Economics, Engineering, Finance and Biology. We show the Anderson-Darling and Cramer-von ...
A microbiology application of the skew-Laplace distribution
skew-Laplace distribution goodness of fit bacteria size
2009/2/23
Flow cytometry scatter are ofen used in microbiology, and their measures are related to bacteria size and granularity. We present an application of the skew-Laplace distribution to flow cytometry data...