Results 11 to 20 of about 719 (114)

Bounding the maximum likelihood degree [PDF]

open access: yes, 2015
Maximum likelihood estimation is a fundamental computational problem in statistics. In this note, we give a bound for the maximum likelihood degree of algebraic statistical models for discrete data.
Budur, Nero, Wang, Botong
core   +1 more source

Improved estimation in a non-Gaussian parametric regression [PDF]

open access: yes, 2011
The paper considers the problem of estimating the parameters in a continuous time regression model with a non-Gaussian noise of pulse type. The noise is specified by the Ornstein-Uhlenbeck process driven by the mixture of a Brownian motion and a compound
Pchelintsev, Evgeny
core   +3 more sources

Generating VaR scenarios with product beta distributions [PDF]

open access: yes, 2018
We propose a Monte Carlo simulation method to generate stress tests by VaR scenarios under Solvency II for dependent risks on the basis of observed data.
Pfeifer, Dietmar, Ragulina, Olena
core   +2 more sources

On the eigenvalues of the spatial sign covariance matrix in more than two dimensions [PDF]

open access: yes, 2016
Acknowledgments Alexander Dürre was supported in part by the Collaborative Research Grant 823 of the German Research Foundation. David E. Tyler was supported in part by the National Science Foundation grant DMS-1407751. A visit of Daniel Vogel to David E.
Dürre, Alexander   +2 more
core   +2 more sources

On a class of norms generated by nonnegative integrable distributions

open access: yesDependence Modeling, 2019
We show that any distribution function on ℝd with nonnegative, nonzero and integrable marginal distributions can be characterized by a norm on ℝd+1, called F-norm. We characterize the set of F-norms and prove that pointwise convergence of a sequence of F-
Falk Michael, Stupfler Gilles
doaj   +1 more source

Checkerboard copula defined by sums of random variables

open access: yesDependence Modeling, 2020
We consider the problem of finding checkerboard copulas for modeling multivariate distributions. A checkerboard copula is a distribution with a corresponding density defined almost everywhere by a step function on an m-uniform subdivision of the unit ...
Kuzmenko Viktor   +2 more
doaj   +1 more source

Law of Log Determinant of Sample Covariance Matrix and Optimal Estimation of Differential Entropy for High-Dimensional Gaussian Distributions [PDF]

open access: yes, 2013
Differential entropy and log determinant of the covariance matrix of a multivariate Gaussian distribution have many applications in coding, communications, signal processing and statistical inference.
Cai, T. Tony   +2 more
core   +1 more source

Sampling in the Analysis Transform Domain [PDF]

open access: yes, 2015
Many signal and image processing applications have benefited remarkably from the fact that the underlying signals reside in a low dimensional subspace. One of the main models for such a low dimensionality is the sparsity one.
Giryes, Raja
core   +1 more source

Some remarks on a pair of seemingly unrelated regression models

open access: yesOpen Mathematics, 2019
Linear regression models are foundation of current statistical theory and have been a prominent object of study in statistical data analysis and inference.
Hou Jian, Zhao Yong
doaj   +1 more source

New Algorithms for $M$-Estimation of Multivariate Scatter and Location [PDF]

open access: yes, 2015
We present new algorithms for $M$-estimators of multivariate scatter and location and for symmetrized $M$-estimators of multivariate scatter. The new algorithms are considerably faster than currently used fixed-point and related algorithms. The main idea
Duembgen, Lutz   +2 more
core   +2 more sources

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