scholarly journals Matrix-Tilted Archimedean Copulas

Risks ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 68
Author(s):  
Marius Hofert ◽  
Johanna F. Ziegel
Keyword(s):  
Archimedean Copulas ◽  
Stochastic Representation ◽  
Cholesky Factor ◽  
Basic Properties ◽  
New Class

The new class of matrix-tilted Archimedean copulas is introduced. It combines properties of Archimedean and elliptical copulas by introducing a tilting matrix in the stochastic representation of Archimedean copulas, similar to the Cholesky factor for elliptical copulas. Basic properties of this copula construction are discussed and a further extension outlined.

ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (11) ◽  
pp. 9353-9360
Author(s):  
G. Selvi ◽  
I. Rajasekaran
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Open Set ◽  
Continuous Maps

This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\star \star}_\mu$-closed set, $sg^{\star \star}_\mu$-open set, $g^{\star \star}_\mu$-closed set, $g^{\star \star}_\mu$-open set and studied some of its basic properties included with $sg^{\star \star}_\mu$-continuous maps, $sg^{\star \star}_\mu$-irresolute maps and $T_\frac{1}{2}$-space in strong generalized topological spaces.

scholarly journals Extremal behavior of Archimedean copulas

2011 ◽  
Vol 43 (1) ◽  
pp. 195-216 ◽  
Author(s):  
Martin Larsson ◽  
Johanna Nešlehová
Keyword(s):  
Domain Of Attraction ◽  
Tail Dependence ◽  
Dependence Structure ◽  
Tail Behavior ◽  
Archimedean Copulas ◽  
Radial Part ◽  
Stochastic Representation ◽  
Lower Tail ◽  
Extremal Behavior ◽  
Practical Implications

We show how the extremal behavior of d-variate Archimedean copulas can be deduced from their stochastic representation as the survival dependence structure of an ℓ1-symmetric distribution (see McNeil and Nešlehová (2009)). We show that the extremal behavior of the radial part of the representation is determined by its Williamson d-transform. This leads in turn to simple proofs and extensions of recent results characterizing the domain of attraction of Archimedean copulas, their upper and lower tail-dependence indices, as well as their associated threshold copulas. We outline some of the practical implications of their results for the construction of Archimedean models with specific tail behavior and give counterexamples of Archimedean copulas whose coefficient of lower tail dependence does not exist.

scholarly journals On γ−countably paracompact sets

2020 ◽  
Vol 12 (2) ◽  
pp. 383-394
Author(s):  
Amani Rawshdeh ◽  
Heyam H. Al-Jarrah ◽  
Khalid Y. Al-Zoubi ◽  
Wasfi A. Shatanawi
Keyword(s):  
Basic Properties ◽  
New Class ◽  
Countably Paracompact

AbstractIn this paper we introduce and study a new class of sets, namely γ−countably paracompact sets. We characterize γ−countably paracompact sets and we study some of its basic properties. We obtain that this class of sets is weaker than α−countably paracompact sets and stronger than β−countably paracompact sets.

scholarly journals Quasi cl-supercontinuous functions and their function spaces

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
J. K. Kohli ◽  
Jeetendra Aggarwal
Keyword(s):  
Continuous Functions ◽  
Function Spaces ◽  
Strong Form ◽  
General Topology ◽  
Regular Space ◽  
Basic Properties ◽  
New Class ◽  
Mathematical Literature ◽  
Class Of Functions ◽  
Appl Math

AbstractA new class of functions called ‘quasi cl-supercontinuous functions’ is introduced. Basic properties of quasi cl-supercontinuous functions are studied and their place in the hierarchy of variants of continuity that already exist in the mathematical literature is elaborated. The notion of quasi cl-supercontinuity, in general, is independent of continuity but coincides with cl-supercontinuity (≡ clopen continuity) (Applied General Topology 8(2) (2007), 293–300; Indian J. Pure Appl. Math. 14(6) (1983), 767–772), a significantly strong form of continuity, if range is a regular space. The class of quasi cl-supercontinuous functions properly contains each of the classes of (i) quasi perfectly continuous functions and (ii) almost cl-supercontinuous functions; and is strictly contained in the class of quasi

A View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets

2015 ◽  
Vol 7 (1) ◽  
pp. 62-73 ◽  
Author(s):  
Hamid Reza Moradi
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Basic Properties ◽  
New Class ◽  
Properties And Characterization ◽  
Open Set ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Characterization Theorems

A nonzero fuzzy open set () of a fuzzy topological space is said to be fuzzy minimal open (resp. fuzzy maximal open) set if any fuzzy open set which is contained (resp. contains) in is either or itself (resp. either or itself). In this note, a new class of sets called fuzzy minimal open sets and fuzzy maximal open sets in fuzzy topological spaces are introduced and studied which are subclasses of open sets. Some basic properties and characterization theorems are also to be investigated.

scholarly journals On Sαrw-Homeomorphism in Topological Spaces

2018 ◽  
Vol 7 (4.10) ◽  
pp. 880
Author(s):  
Basavaraj M. Ittanagi ◽  
Mohan V
Keyword(s):  
Topological Spaces ◽  
Basic Properties ◽  
New Class

New class of homeomorphisms named as sαrw-homeomorphism and sαrw*-homeomorphism are explored & elaborated. Few basic properties are inspected. Their relations with some existing homeomorphisms in topological spaces are studied.  

scholarly journals Derivation of New Class of Orthogonal Polynomials with Recurrence Relation

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Emmanuel Adeyefa ◽  
Raphael Adeniyi ◽  
Olatunde Olanayo ◽  
Yahaya Haruna ◽  
John Oladunjoye
Keyword(s):  
Weight Function ◽  
Orthogonal Polynomials ◽  
Recurrence Relation ◽  
Legendre Polynomials ◽  
Basic Properties ◽  
New Class

This paper presents the derivation of a new class of orthogonal polynomials named ADEM-B orthogonal polynomials, valid in the interval [-1, 1] with respect to weight function. The analysis of some basic properties of the polynomials shows that the polynomials are symmetrical depending on whether index n in  is even or odd. The recurrence relation of the class of the polynomials is presented and a brief review of the formulation of existing scheme is considered to test the applicability of the polynomials. Findings reveal that these polynomials produce the same results as in zeros of Chebyshev and Legendre polynomials.

scholarly journals The class of (n,m)power-A-quasi-hyponormal operators in semi-Hilbertian space

2021 ◽  
Vol 27 (1) ◽  
pp. 35-41
Author(s):  
Djilali Bekai ◽  
Abdelkader Benali ◽  
Ali Hakem
Keyword(s):  
Positive Operator ◽  
Basic Properties ◽  
New Class ◽  
Hyponormal Operators ◽  
Positive Integers

The concept of K-quasi-hyponormal operators on semi-Hilbertian space is defined by Ould Ahmed Mahmoud Sid Ahmed and Abdelkader Benali in [7]. This paper is devoted to the study of new class of operators on semi-Hilbertian space H, ∥. ∥Acalled (n,m)power-A-quasi-hyponormal denoted [(n,m)QH]A.We give some basic properties of these operators and some examples are also given .An operator T ∈ BA(H) is said to be (n,m) power-A-quasi-hyponormal for some positive operator A and for some positive integers n and m if T⋕((T⋕)mTn— Tn(T⋕)m)T≥A or equivalently AT⋕((T⋕)mTn— Tn(T⋕)m)T≥0

(A-n) – Potent operators on Hilbert space

2019 ◽  
pp. 7-12
Author(s):  
Laith K. Shaakir ◽  
Elaf S. Abdulwahid ◽  
Anas A. Hijab
Keyword(s):  
Hilbert Space ◽  
Positive Integer ◽  
Complex Hilbert Space ◽  
Integer Number ◽  
Basic Properties ◽  
New Class

In this paper, we introduce a new class of operators on a complex Hilbert space which is called (A-n)-potent operator. An operator is called (A-n)-potent operator if where is positive integer number greater than or equal 2. We investigate some basic properties of such operators and study the relation between (A-n)-potent operators and some kinds of operators.

Soft multi generalized regular sets in soft multi topological spaces

2017 ◽  
Vol 8 (1) ◽  
pp. 9
Author(s):  
Alkan ÖZKAN
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Basic Concepts ◽  
Regular Sets ◽  
Regular Closed

Many researchers have identified some of the basic concepts in soft multi topology and many properties were investigated. The main objective of this study is to provide and study a new class of soft multi closed sets like soft multi generalized regular closed (briefly soft mgr-closed) set and to investigated some of its basic properties in soft multi topological spaces. Furthermore, soft multi α-closed set, soft multi pre-closed set, soft multi semi-closed set, soft multi b-closed set and soft multi β-closed set in soft topological spaces are defined.We show that every soft multi regular closed set is soft multi generalized regular closed set.

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