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Consider a survival time study, where a sequence of possibly censored failure times is observed with d-dimensional covariate The main goal of this article is to establish the asymptotic normality of the kernel estimator of the relative error regression ...
Bouhadjera Feriel, Saïd Elias Ould
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On partially Schur-constant models and their associated copulas
Schur-constant vectors are used to model duration phenomena in various areas of economics and statistics. They form a particular class of exchangeable vectors and, as such, rely on a strong property of symmetry.
Lefèvre Claude
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Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors
In this paper, we investigate sufficient conditions for preservation property of the dispersive order for the smallest and largest order statistics of homogeneous dependent random vectors.
Mesfioui Mhamed, Trufin Julien
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A topological proof of Sklar’s theorem in arbitrary dimensions
Copulas are appealing tools in multivariate probability theory and statistics. Nevertheless, the transfer of this concept to infinite dimensions entails some nontrivial topological and functional analytic issues, making a deeper theoretical understanding
Benth Fred Espen +2 more
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Stable tail dependence functions – some basic properties
We prove some important properties of the extremal coefficients of a stable tail dependence function (“STDF”) and characterise logistic and some related STDFs.
Ressel Paul
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Modeling pH-Dependent Biomolecular Photochemistry
The tuning mechanism of pH can be extremely challenging to model computationally in complex biological systems, especially with respect to photochemical properties. This article reports a protocol aimed at modeling pH-dependent photodynamics, using a combination of constant-pH molecular dynamics and semi-classical nonadiabatic molecular dynamics ...
Pieri, Elisa +5 more
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Maximal asymmetry of bivariate copulas and consequences to measures of dependence
In this article, we focus on copulas underlying maximal non-exchangeable pairs (X,Y)\left(X,Y) of continuous random variables X,YX,Y either in the sense of the uniform metric d∞{d}_{\infty } or the conditioning-based metrics Dp{D}_{p}, and analyze their ...
Griessenberger Florian +1 more
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Modeling Default Dependence with Threshold Models [PDF]
Default risk is one of the most important and fastest growing areas in derivatives. Single-name credit default swaps are now well established, and markets for contracts based on the default experience of a credit portfolio, like collateralized debt obligations (CDOs) and basket default swaps, are developing rapidly.
Overbeck, Ludger, Schmidt, Wolfgang M.
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Abel-Gontcharoff polynomials, parking trajectories and ruin probabilities
The central mathematical tool discussed is a non-standard family of polynomials, univariate and bivariate, called Abel-Goncharoff polynomials. First, we briefly summarize the main properties of this family of polynomials obtained in the previous work ...
Lefèvre Claude, Picard Philippe
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The use of the exponential distribution and its multivariate generalizations is extremely popular in lifetime modeling. Freund’s bivariate exponential model (1961) is based on the idea that the remaining lifetime of any entity in a bivariate system is ...
Guzmics Sándor, Pflug Georg Ch.
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