The Sarmanov family and its generalization : theory and methods

Ismihan Bairamov, Samuel Kotz, Ömer L. Gebizlioğlu

South African Statistical Journal · 2001 · 16 citations · 0 references

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Abstract

A general class of bivariate distributions is introduced. This class includes the so-called Sarmanov-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.