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Adaptive quantile estimation in deconvolution with unknown error distribution
Deconvolution Quantile and distribution function Adaptive es-timation Minimax convergence rates Random Fourier multiplier
2013/4/27
We study the problem of quantile estimation in deconvolution with ordinary smooth error distributions. In particular, we focus on the more realistic setup of unknown error distributions. We develop a ...
Bandlimited Signal Reconstruction From the Distribution of Unknown Sampling Locations
Bandlimited Signal Reconstruction the Distribution Unknown Sampling Locations
2013/4/28
We study the reconstruction of bandlimited fields from samples taken at unknown but statistically distributed sampling locations. The setup is motivated by distributed sampling where precise knowledge...
Smoothing effect of Compound Poisson approximation to distribution of weighted sums
characteristic function concentration function compound Poisson distribution Kolmogorov norm weighted random variables.
2013/4/27
The accuracy of compound Poisson approximation to the sum $S=w_1S_1+w_2S_2+...+w_NS_N$ is estimated.
Here $S_i$ are sums of independent or weakly dependent random variables, and $w_i$ denote weights...
Distribution of the largest eigenvalue for real Wishart and Gaussian random matrices and a simple approximation for the Tracy-Widom distribution
Random Matrix Theory characteristic roots largest eigenvalue Tracy-Widom Distribution Wishart Matrices Gaussian Orthogonal Ensemble
2012/11/23
We derive the exact distribution of the largest eigenvalue for finite dimensions real Wishart matrices and for the Gaussian Orthogonal Ensemble (GOE). We compare the exact distribution with the Tracy-...
Partially monotone tensor spline estimation of the joint distribution function with bivariate current status data
Bivariate current status data constrained maximum likelihood estimation empirical process sieve maximum likelihood estimation tensor spline basis functions
2012/11/23
The analysis of the joint cumulative distribution function (CDF) with bivariate event time data is a challenging problem both theoretically and numerically. This paper develops a tensor spline-based s...
Moments and Absolute Moments of the Normal Distribution
Moments Absolute Moments Normal Distribution
2012/11/22
We present formulas for the (raw and central) moments and absolute moments of the normal distribution. We note that these results are not new, yet many textbooks miss out on at least some of them. Hen...
On Set Size Distribution Estimation and the Characterization of Large Networks via Sampling
On Set Size Distribution Estimation Characterization large Networks via Sampling
2012/11/22
In this work we study the set size distribution estimation problem, where elements are randomly sampled from a collection of non-overlapping sets and we seek to recover the original set size distribut...
The Super Robustness of Maximum Likelihood Location Estimator of Exponential Power Distribution, when p < 1
The Super Robustness Maximum Likelihood Location Estimator Exponential Power Distribution p < 1
2012/9/18
We proof that statistically, the maximum likelihood location estimator of exponential power distribution is strict super robust, when p < 1.
Discriminating different classes of biological networks by analyzing the graphs spectra distribution
Discriminating different classes biological networks analyzing the graphs spectra distribution
2012/9/17
The brain's structural and functional systems, protein-protein interaction, and gene networks are examples of biological systems that share some features of com-plex networks, such as highly connected...
About the posterior distribution in hidden Markov Models with unknown number of states
Hidden Markov models number of components order selection Bayesian statistics posterior distribution
2012/9/19
In this paper, we investigate the asymptotic behaviour of the posterior distribution in hidden Markov models (HMMs) when using Bayesian methodology. We obtain a general asymptotic result, and give con...
Asymptotic Efficiency of Goodness-of-fit Tests for the Power Function Distribution Based on Puri--Rubin Characterization
Power function distribution,U-statistics characterizations Bahadur efficiency
2012/9/18
We construct integral and supremum type goodness-of-fit tests for the family of power distribution functions. Test statistics are functionals of U−empirical processes and are based on the classi...
An estimation of distribution algorithm with adaptive Gibbs sampling for unconstrained global optimization
Estimation of distribution algorithms Evolutionary algorithms
2011/7/19
In this paper is proposed a new heuristic approach belonging to the field of evolutionary Estimation of Distribution Algorithms (EDAs). EDAs builds a probability model and a set of solutions is sample...
Proportionate vs disproportionate distribution of wealth of two individuals in a tempered Paretian ensemble
Pareto law Paretian ensemble Truncated wealth distribution
2011/7/7
We study the distribution P(\omega) of the random variable \omega = x_1/(x_1 + x_2), where x_1 and x_2 are the wealths of two individuals selected at random from the same tempered Paretian ensemble ch...
Statistical Distribution of Crystallographic Groups for Inorganic Crystal Structure Database
Statistical Distribution Crystallographic Groups Inorganic Crystal Structure Database
2011/7/6
We introduce a method that defines the species (representatives) of inorganic compounds, and studied the statistical distribution of the defined species among space groups (distribution of space group...
Distribution fitting 12. Sampling distribution of compounds abundance from plant species measured by instrumentation. Application to plants metabolism classification
chemical compounds abundances lognormal distribution
2011/7/6
A series of ten plant species belonging to Magnoliopsida - Dicotyledons class were analyzed in terms of chemical compounds distribution of abundance, starting from the assumption that these distributi...