On Characterizing Generalized Cambanis Family of Bivariate Distributions

On Characterizing Generalized Cambanis Family of Bivariate Distributions

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Johny Scaria

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N. Unnikrishnan Nair

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Sithara Mohan.

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α Mahatma Gandhi University

On Characterizing Generalized Cambanis Family of Bivariate Distributions

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Abstract

In this work we present characterizations of a generalized version of Cambanis family of bivariate distributions. This family contains extensions of the Farlie-Gumbel-Morgenstern system as special cases. The characterizations are by properties of P(X>Y), regression functions and E(XjX > Y) which were found to be useful in many applications.

References

7 Cites in Article

Reference Format

C Amblard,S Girard (2009). A new extension of FGM copulas.
Ismihan Bairamov,Samuel Kotz (2002). Dependence structure and symmetry of Huang-Kotz FGM distributions and their extensions.
I Bairamov,S Kotz,M Bekçi (2001). New generalized Farlie-Gumbel-Morgenstern distributions and concomitants of order statistics.
Wlodzimierz Bryc (2012). Normal distributions.
Stamatis Cambanis (1977). Some properties and generalizations of multivariate Eyraud-Gumbel-Morgenstern distributions.
M Carles,C Cudras,Walter Daz (2012). Another generaization of the bivariate FGM distribution with two-dimensional extensions.
Filippo Domma,Sabrina Giordano (2013). A copula-based approach to account for dependence in stress-strength models.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Johny Scaria. 2017. \u201cOn Characterizing Generalized Cambanis Family of Bivariate Distributions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F1): .

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GJSFR Volume 17 Issue F1
Pg. 31- 38

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 62H10

Submission ReceivedDecember 23, 2016
Peer Review Double Blind
Handling Editor
Accepted January 17, 2017
Published January 30, 2017

Version of record

v1.2

Issue date

February 26, 2017

Language

en

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Article Matrices

Total Score: 103

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: N. Unnikrishnan Nair, Johny Scaria, Sithara Mohan. (PhD/Dr. count: 0)

View Count (all-time): 176

Total Views (Real + Logic): 3708

Total Downloads (simulated): 1766

Publish Date: 2017 02, Sun

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Total Views: 3708

Total Downloads: 1766

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Published Article

In this work we present characterizations of a generalized version of Cambanis family of bivariate distributions. This family contains extensions of the Farlie-Gumbel-Morgenstern system as special cases. The characterizations are by properties of P(X>Y), regression functions and E(XjX > Y) which were found to be useful in many applications.

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