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Multivariate Dispersion Models

Bent Jørgensen, Steffen L Lauritzen
2000 Journal of Multivariate Analysis  
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

D. Deschrijver, T. Dhaene, D. De Zutter
2008 IEEE transactions on microwave theory and techniques  
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

Yury I. Dimitrienko, Kirill M. Zubarev, Elena A. Gubareva, Tatyana L. Ivanova, Raisa K. Alesina, Alexander V. Alesin, Y.I. Dimitrienko, E.N. Grigorieva
2020 ITM Web of Conferences  
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  
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]

Jan-Frederik Mai, Matthias Scherer, Natalia Shenkman
2020 arXiv   pre-print
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]

James S. Martin, David J. Murrell, Sofia C. Olhede
2018 arXiv   pre-print
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

Barry C. Arnold
1992 Journal of Computational and Applied Mathematics  
., 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

Frank Hansen
2014 Linear Algebra and its Applications  
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]

Frank Hansen
2014 arXiv   pre-print
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]

Guohui Zhao
2019 arXiv   pre-print
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

Hans-Peter Schröcker, Johannes Wallner
2006 Reliable Computing  
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"

Christian Gout, Lucia Romani
2013 Journal of Computational and Applied Mathematics  
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]

J. Derek Tucker, John R. Lewis, Caleb King, Sebastian Kurtek
2019 arXiv   pre-print
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]

Ulrich Kortenkamp, Jürgen Richter-Gebert
2001 Lecture Notes in Computer Science  
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

Hamish Carr, David Duke
2014 IEEE Transactions on Visualization and Computer Graphics  
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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