Results 1 to 10 of about 119 (106)

On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distributions

open access: yes, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 165-168, 1993.
Arjun K. Gupta   +2 more
wiley   +1 more source

An Alternative Type II Claims Pareto Model for Reliability and Bimodal Risk Analysis: Copulas, Properties, Mathematical Modeling, and Actuarial Case Study

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
This article aims to present a new type‐II claims Pareto extension for statistical reliability and actuarial analysis. The new probabilistic density can be simplified in terms of the baseline densities. Some new bivariate types were developed under some copula approaches.
Atef F. Hashem   +6 more
wiley   +1 more source

Discrete uniform mixtures via posterior means

open access: yes, 1999
Beta-Pascal distribution, discrete uniform distribution, identification of mixtures, mixture, negative binomial distribution, negative hypergeometric distribution, posterior mean, primary 62H05, secondary 62F15,
Arjun K. Gupta   +2 more
core   +1 more source

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

A new extreme value copula and new families of univariate distributions based on Freund’s exponential model

open access: yesDependence Modeling, 2020
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.
doaj   +1 more source

Test of bivariate independence based on angular probability integral transform with emphasis on circular-circular and circular-linear data

open access: yesDependence Modeling, 2023
The probability integral transform of a continuous random variable XX with distribution function FX{F}_{X} is a uniformly distributed random variable U=FX(X)U={F}_{X}\left(X). We define the angular probability integral transform (APIT) as θU=2πU=2πFX(X){\
Fernández-Durán Juan José   +1 more
doaj   +1 more source

On Conditional Value at Risk (CoVaR) for tail-dependent copulas

open access: yesDependence Modeling, 2017
The paper deals with Conditional Value at Risk (CoVaR) for copulas with nontrivial tail dependence. We show that both in the standard and the modified settings, the tail dependence function determines the limiting properties of CoVaR as the conditioning ...
Jaworski Piotr
doaj   +1 more source

On comprehensive families of copulas involving the three basic copulas and transformations thereof

open access: yesDependence Modeling
Comprehensive families of copulas including the three basic copulas (at least as limit cases) are useful tools to model countermonotonicity, independence, and comonotonicity of pairs of random variables on the same probability space. In this contribution,
Saminger-Platz Susanne   +4 more
doaj   +1 more source

A two-component copula with links to insurance

open access: yesDependence Modeling, 2017
This paper presents a new copula to model dependencies between insurance entities, by considering how insurance entities are affected by both macro and micro factors.
Ismail S., Yu G., Reinert G., Maynard T.
doaj   +1 more source

Nonparametric C- and D-vine-based quantile regression

open access: yesDependence Modeling, 2022
Quantile regression is a field with steadily growing importance in statistical modeling. It is a complementary method to linear regression, since computing a range of conditional quantile functions provides more accurate modeling of the stochastic ...
Tepegjozova Marija   +3 more
doaj   +1 more source

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