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1. Conditional states and joint distributions on MV-algebras

Creator:
Kalina, Martin and Nánásiová, Oľga
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
semi-simple MV-algebra, conditional distribution, and joint distribution
Language:
English
Description:
In this paper we construct conditional states on semi-simple MV-algebras. We show that these conditional states are not given uniquely. By using them we construct the joint probability distributions and discuss the properties of these distributions. We show that the independence is not symmetric.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava

Creator:
Bačová Mitková, Veronika and Halmová, Dana
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
the Danube River, joint distribution, copula functions, peak flow, volume and duration of the wave, and multivariate frequency analysis
Language:
Slovak
Description:
The study is focused on the analysis and statistical evaluation of the joint probability of the occurrence of hydrological variables such as peak discharge (Q), volume (V) and duration (t). In our case study, we focus on the bivariate statistical analysis of these hydrological variables of the Danube River in Bratislava gauging station, during the period of 1876-2013. The study presents the methodology of the bivariate statistical analysis, choice of appropriate marginal distributions and appropriate copula functions in representing the joint distribution. Finally, the joint return periods and conditional return periods for some hydrological pairs (Q-V, V-t, Q-t) were calculated. The approach using copulas can reproduce a wide range of correlation (nonlinear) frequently observed in hydrology. Results of this study provide comprehensive information about flood where a devastating effect may be increased in the case where its three basic components (or at least two of them) Q, V and t have the same significance.
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public