On Characterizing Generalized Cambanis Family of Bivariate Distributions

Johny Scaria; N. Unnikrishnan Nair

On Characterizing Generalized Cambanis Family of Bivariate Distributions

Johny Scaria * §

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N. Unnikrishnan Nair §

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sithara.mohan3 §

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§ Nirmala College Muvattupuzha

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

1. C Amblard,S Girard (2009). A new extension of FGM copulas. Metrika, 70, 1-17.
2. Ismihan Bairamov,Samuel Kotz (2002). Dependence structure and symmetry of Huang-Kotz FGM distributions and their extensions. Metrika, 56(1), 55-72.
3. I Bairamov,S Kotz,M Bekçi (2001). New generalized Farlie-Gumbel-Morgenstern distributions and concomitants of order statistics. Journal of Applied Statistics, 28(5), 521-536.
4. Wlodzimierz Bryc (2012). Normal distributions. Lecture Notes in Statistics, 23-38.
5. Stamatis Cambanis (1977). Some properties and generalizations of multivariate Eyraud-Gumbel-Morgenstern distributions. Journal of Multivariate Analysis, 7(4), 551-559.
6. M Carles,C Cudras,Walter Daz (2012). Another generaization of the bivariate FGM distribution with two-dimensional extensions. Acta Et Commentationes Universitatis Tartuinsis De Mathematica, 16(1)
7. Filippo Domma,Sabrina Giordano (2013). A copula-based approach to account for dependence in stress-strength models. Statistical Papers, 54(3), 807-826.

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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, N. Unnikrishnan Nair, sithara.mohan3. 2017. "On Characterizing Generalized Cambanis Family of Bivariate Distributions". 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

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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

English

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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): 332

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Publish Date: 2017 01, Mon

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Total Views: 1.4K

Total Downloads: 123

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