The Sarmanov Family and Its Generalization

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Date

2001

Journal Title

Journal ISSN

Volume Title

Publisher

South African Statistical Assoc

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Abstract

A general class of bivariate distributions is introduced. This class includes the so-called San-nanov-Lee class (and consequently the Farlie-Gumbel-Morgenstern class). It is shown that using procedures described in the paper it is possible to construct distributions of the FGM form for which the correlation coefficient between the marginals can achieve values close to +/-0.6.

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Keywords

admissible range, bivariate distribution, correlation structure, Farlie-Gumbel-Morgenstern class of distribution, Sarmanov class, Gumbel-Morgenstern Distributions, Bivariate Distributions

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Citation

WoS Q

Q4

Scopus Q

Q4

Source

South Afrıcan Statıstıcal Journal

Volume

35

Issue

2

Start Page

205

End Page

224
SCOPUS™ Citations

20

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Web of Science™ Citations

19

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1

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