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Multivariate Dispersion Models
2000
Journal of Multivariate Analysis
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We introduce a class of multivariate dispersion models suitable as error distributions for generalized linear models with multivariate non-normal responses. ...
We give explicit methods for constructing multivariate proper dispersion models. This is exemplified by constructing multivariate gamma, Laplace, hyperbola, and von Mises distributions. Academic Press ...
of this paper. ...
doi:10.1006/jmva.1999.1885
fatcat:a4elaktgareodkweof3el4fsbe
Robust Parametric Macromodeling Using Multivariate Orthonormal Vector Fitting
2008
IEEE transactions on microwave theory and techniques
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A robust multivariate extension of the orthonormal vector fitting technique is introduced for rational parametric macromodeling of highly dynamic responses in the frequency domain. ...
For a specified geometrical parameter combination, a SPICE equivalent model can be calculated. ...
A. Lamecki and Prof. M. Mrozowski, both with the Polytechnical University of Gdansk, Gdansk, Poland, for providing the data of the rectangular waveguide, and F. ...
doi:10.1109/tmtt.2008.924346
fatcat:6xaa4jxcabhrrhtvugiqw5omwu
Visual-geometric Representation of Theorem Proofs in Nomotex DLS
2020
ITM Web of Conferences
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The proposed methodological approach to the development of the course "Theory of multivariable function" allows you to use the elements of the created course in various variations for disciplines using ...
An example is considered the course "Theory of multivariable function" Visual examples were created at the Department of Computational Mathematics and Mathematical Physics of the Bauman Moscow State Technical ...
As an example, a visual geometric proof of the theorem on implicit functions from the course "Theory of multivariable function" was demonstrated. ...
doi:10.1051/itmconf/20203503009
fatcat:js3zgzg7vjesfaqrgvsgrc2xpi
Page 2496 of Mathematical Reviews Vol. , Issue 98D
[page]
1998
Mathematical Reviews
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These geometric quantiles are potentially useful in constructing trimmed multivariate means as well as many other L estimates of multivariate location, and they lead to a direc- tional notion of central ...
is Bartlett adjustable for its null dis- tribution under normality since the statistic is a function of the likelihood ratio statistic which is Bartlett adjustable. ...
Multivariate geometric distributions, (logarithmically) monotone sequences, and infinitely divisible laws (with erratum by Natalia Shenkman)
[article]
2020
arXiv
pre-print
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Two stochastic representations of multivariate geometric distributions are analyzed, both are obtained by lifting the lack-of-memory (LM) property of the univariate geometric law to the multivariate case ...
On the one hand, the narrow-sense multivariate geometric law can be considered a discrete equivalent of the well-studied Marshall-Olkin exponential law. ...
As a second multivariate extension of the geometric law, we study a multivariate geometric distribution introduced in Section 4 of [2] . ...
arXiv:2002.00767v1
fatcat:rj2xdlmgjbbvbjatlbpanrcs4u
Multivariate Geometric Anisotropic Cox Processes
[article]
2018
arXiv
pre-print
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Building on recent innovations in multivariate spatial statistics, we propose a new family of multivariate anisotropic random fields and construct a family of anisotropic point processes from it. ...
This paper introduces a new modelling framework for multivariate anisotropic Cox processes. ...
Since a LGCP is fully defined by the first and second order characteristics of the underlying Gaussian random field, Møller & Toftaker (2014) showed that one can therefore construct a geometric anisotropic ...
arXiv:1808.04348v1
fatcat:vhrfpmexkravlaj5lswffiyx74
Logistic and semi-logistic processes
1992
Journal of Computational and Applied Mathematics
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., Logistic and semi-logistic processes, Journal of Computational and Applied Mathematics 40 (1992) 139-149. Random geometric minima of logistic random variables are again logistic. ...
This phenomenon is exploited to develop and study a variety of stationary k-dimensional processes with logistic marginals 2nd semi-logistic marginals. ...
By construction, the {N,}'s are dependent geometric random variables. All of them are independent of the {y.J sequence (since the Q's were independent of the yn's). ...
doi:10.1016/0377-0427(92)90101-3
fatcat:hedkkzizfvf3jjmvxqhgrm74ca
Regular operator mappings and multivariate geometric means
2014
Linear Algebra and its Applications
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As a main application of the theory we consider geometric means of k operator variables extending the geometric mean of k commuting operators and the geometric mean of two arbitrary positive definite matrices ...
We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. ...
QED The result in the above proposition may be reformulated in the following way: The perspective P G of a convex regular mapping G :
The construction of geometric means We construct a sequence of multivariate ...
doi:10.1016/j.laa.2014.07.031
fatcat:l4uemci7q5addhwknkmlnhzm6m
Regular operator mappings and multivariate geometric means
[article]
2014
arXiv
pre-print
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As a main application of the theory we consider geometric means of k operator variables extending the geometric mean of k commuting operators and the geometric mean of two arbitrary positive definite matrices ...
We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. ...
The construction of geometric means We construct a sequence of multivariate geometric means G 1 , G 2 , . . . by the following general procedure. ...
arXiv:1403.3781v4
fatcat:htqzxq3ob5glnigeoo7rqj4fem
Branched splines
[article]
2019
arXiv
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Spline functions have long been used in numerical solution of differential equations. ...
Usually many NURBS pieces are needed to build geometrically continuous CAD models. ...
The construction of branched splines on branched triangulations over a sphere is similar, but is postponed to future study since there are no spherical splines at hand, we must construct them first. ...
arXiv:1906.10883v2
fatcat:rxz3x3iixnhalfhafhqcqrsara
Geometric Constructions with Discretized Random Variables
2006
Reliable Computing
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In order to minimize both the influence of the coordinate frame and information loss we suggest a nested thicket representation for random variables and a corresponding intersection algorithm. ...
We generalize the DEnv (Distribution envelope determination) method for bounding the result of arithmetic operations on random variables with unknown dependence to higher-dimensional settings. ...
P15911 during the first author's stay at Vienna University of Technology. ...
doi:10.1007/s11155-006-7219-2
fatcat:dzl74rutjjdi3k33dguevmi6h4
"Multivariate Approximation: Theory and Applications"
2013
Journal of Computational and Applied Mathematics
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This introductory paper describes the main topics of this special issue, dedicated to Leonardo Traversoni, known at international level as the promoter of the conference series "Multivariate Approximation ...
We also want to express our warm thanks to all the reviewers for their hard work in ensuring the quality of the final papers. ...
Since from 1995 Leonardo Traversoni has been the main organizer of a conference series entitled "Multivariate Approximation: Theory and Applications", we decided to have a special issue in his honour with ...
doi:10.1016/j.cam.2012.09.036
fatcat:nru3dmlpu5fstep55vzcvrsx5e
A Geometric Approach for Computing Tolerance Bounds for Elastic Functional Data
[article]
2019
arXiv
pre-print
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The first functional tolerance bounds are computed via a bootstrap procedure on the geometric space of amplitude and phase functions. ...
The second functional tolerance bounds utilize functional Principal Component Analysis to construct a tolerance factor. ...
They would also like to acknowledge the Associate Editor and Reviewer for providing constructive comments that have significantly improved the content of this manuscript. ...
arXiv:1805.11401v2
fatcat:hfv6723srjcevhi4so4svqycom
Decision Complexity in Dynamic Geometry
[chapter]
2001
Lecture Notes in Computer Science
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In this paper we discuss the complexity of deciding whether two instances of the same geometric straight-line program are connected by a continuous path, the Complex Reachability Problem. ...
Geometric straight-line programs [5, 8] can be used to model geometric constructions and their implicit ambiguities. ...
Using estimates for the degrees of the variables of a multivariate polynomial given by a straight-line program and evaluations for some random samples, we can prove geometric theorems with much less computational ...
doi:10.1007/3-540-45410-1_12
fatcat:hhciv5r6mzgyzke7hujowrr4fq
Joint Contour Nets
2014
IEEE Transactions on Visualization and Computer Graphics
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a relationship with rasterisation in the range of the function. ...
We generalize this analysis to multivariate fields with a data structure called the Joint Contour Net that quantizes the variation of multiple variables simultaneously. ...
It has also become clear that while the JCN itself captures topological and geometric structures of ACKNOWLEDGEMENTS Acknowledgements are due to Bob Laramee and Eugene Zhang, presentation of whose work ...
doi:10.1109/tvcg.2013.269
pmid:26357364
fatcat:tpbn4cppj5e57dci5zai7ihjsi
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