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The Ordering of Shannon Entropies for the Multivariate Distributions and Distributions of Eigenvalues [PDF]
Entropy, 2019 In this paper, we prove the Shannon entropy inequalities for the multivariate distributions via the notion of convex ordering of two multivariate distributions.
Ming-Tien Tsai +2 more
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The Leader Property in Quasi Unidimensional Cases
Mathematics, 2022 The following problem was studied: let Zjj≥1 be a sequence of i.i.d. d-dimensional random vectors. Let F be their probability distribution and for every n≥1 consider the sample Sn={Z1,Z2,…,Zn}.
Anișoara Maria Răducan +1 more
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Multivariate NBU and NBUE Distributions [PDF]
The Egyptian Statistical Journal, 1981 Various definitions of multivariate new better than used (NBU) and new better than used in expectation (NBUE) life distributions are introduced and their interrelationship is studied. Examples are given to illustrate these concepts.
Nader Ebrahimi, Malay Ghosh
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Drought Shocks and Gearing Impacts on the Profitability of Sheep Farming
Agriculture, 2021 The resilience and profitability of livestock production in many countries can be impacted by shocks, such as drought and market shifts, especially under high debt levels.
Sosheel S. Godfrey +5 more
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Theoretical Study of Some Angle Parameter Trigonometric Copulas
Modelling, 2022 Copulas are important probabilistic tools to model and interpret the correlations of measures involved in real or experimental phenomena. The versatility of these phenomena implies the need for diverse copulas.
Christophe Chesneau
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On the Probability of Finding Extremes in a Random Set
Mathematics, 2022 We consider a sequence Zjj≥1 of i.i.d. d-dimensional random vectors and for every n≥1 consider the sample Sn={Z1,Z2,…,Zn}. We say that Zj is a “leader” in the sample Sn if Zj≥Zk,∀k∈{1,2,…,n}and Zj is an “anti-leader” if Zj≤Zk,∀k∈{1,2,…,n}. After all, the
Anișoara Maria Răducan +3 more
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Stochastic Order for a Multivariate Uniform Distributions Family
Mathematics, 2020 In this article we give sufficient conditions for stochastic order of multivariate uniform distributions on closed convex sets.
Luigi-Ionut Catana, Anisoara Raducan
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Statistica, 2018 Copulas are used to specify dependence between two or more random variables. The last few years have seen a surge of developments of parametric models for copulas.
Saralees Nadarajah +2 more
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Finite Mixtures of Multivariate Skew Laplace Distributions
Revstat Statistical Journal, 2021 This paper proposes finite mixtures of multivariate skew Laplace distributions in order to model both skewness and heavy-tailedness in heterogeneous data sets.
Fatma Zehra Doğru +2 more
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On a Multivariate Analog of the Zolotarev Problem
Mathematics, 2021 A generalized multivariate problem due to V. M. Zolotarev is considered. Some related results on geometric random sums and (multivariate) geometric stable distributions are extended to a more general case of “anisotropic” random summation where sums of ...
Yury Khokhlov, Victor Korolev
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