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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...
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...
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...
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...
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...
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
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
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 possibilitie...
As estimators of location parameters, univariate trimmed means are well known for their robustness and efficiency. They can serve as robust alternatives to the sample mean while possessing high effi...

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