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Consistency of Multidimensional Convex Regression
nonparametric regression multidimensional convex functions asymptotic properties consistency
2015/7/6
Convex regression is concerned with computing the best fit of a convex function to a data set of n observations in which the independent variable is (possibly) multidimensional. Such regression ...
Computing Multidimensional Residues
The coefficient of polynomial algebra function rational dependence coefficient
2014/12/29
Given n polynomials in n variables with a finite number of complex roots, for any of their roots there is a local residue operator assigning a complex number to any polynomial. This is an algebraic, b...
Discovering general multidimensional associations
Discovering general multidimensional associations
2013/4/27
When two variables are related by a known function, the coefficient of determination (denoted $R^2$) measures the proportion of the total variance in the observations that is explained by that functio...
We present the multidimensional membership mixture (M3) models where every dimension of the membership represents an independent mixture model and each
data point is generated from the selected mixtu...
New semiparametric stationarity tests based on adaptive multidimensional increment ratio statistics
Gaussian fractionally integrated processes Adaptive semiparametric estimators of the meme-ory parameter test of long-memory stationarity test unit root test.
2012/9/19
In this paper, we show that the adaptive multidimensional increment ratio estimator of the long range memory parameter defined in Bardet and Dola (2012) satisfies acentral limit theorem (CLT in the se...
Multidimensional Scaling in the Poincaré Disk
dimensionality reduction hyperbolic embedding hyperbolic MDS network graph steepest descent visualization
2011/6/20
Abstract—Multidimensional scaling (MDS) is a class of
projective algorithms traditionally used to produce twoor
three-dimensional visualizations of datasets consisting
of multidimensional objects o...
Almost sure convergence and asymptotical normality of a generalization of Kesten's stochastic approximation algorithm for multidimensional case
Kesten's stochastic approximation algorithm multidimensional
2011/6/20
It is shown the almost sure convergence and asymptotical normality of a generalization of
Kesten's stochastic approximation algorithm for multidimensional case.
In this generalization, the step incr...
Uniform Central Limit Theorems for Multidimensional Diffusions
Uniform Central Limit Theorems Multidimensional Diffusions
2010/10/19
It has recently been shown that there are grave differences in the regularity behavior of the empirical process based on scalar diffusions as compared to the classical empirical process, due to the e...
Adaptive estimator of the memory parameter and goodness-of-fit test using a multidimensional increment ratio statistic
Long-memory Gaussian processes goodness-of-fit test estimation of the memory parameter
2010/10/14
The Increment Ratio (IR) statistic was first defined and studied in Surgailis {\it et al.} (2008) for estimating the long-memory parameter either of a stationary or an increment stationary Gaussian p...
Statistical inference for multidimensional time-changed Lévy processes based on low-frequency data
time-changed Levy processes dependence minimax rates of convergence lowfrequency observations
2010/3/11
In this article we study the problem of a semi-parametric inference on the parameters of
a multidimensional L´evy process Lt based on the low-frequency observations of the corresponding
time-c...
On invariant tests for multidimensional normality
invariant tests multidimensional normality
2009/9/24
The paper deals with the analysis of some natiual
symmetries of one- and multidimensional problems of testing normality.
Some grotips of transformations are coilsidered and their
maximal invariants...
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices
Convergence rates random variables with multidimensional indices
2009/9/23
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices。
Probabilities of moderate diviations for randomly indexed sums of random variables with multidimensional indices
Probabilities of moderate diviations random variables with multidimensional indices
2009/9/23
Probabilities of moderate deviations for randomly
indexed sums of independent and identically dmtributed random
variables with multidimensional indices are studied. The results
presented extend som...
Probability Density Functions of the Empirical Wavelet Coefficients of a Wavelet Estimator of Multidimensional Poisson Intensities
Probability Density Functions Empirical Wavelet Coefficients Wavelet Estimator Poisson Intensities
2009/9/17
Probability Density Functions of the Empirical Wavelet Coefficients of a Wavelet Estimator of Multidimensional Poisson Intensities。
On multidimensional item response theory - a coordinate free approach
geometric methods statistical modeling
2009/9/16
A coordinate system free definition of complex structure multidimensional item response theory (MIRT) for dichotomously scored items is presented. The point of view taken emphasizes the possibilities ...