In this study a new mixture copula has been obtained by creating a linear combination of product copula with copula which is
obtained with marginal distributions of order statistics which was proposed by Dolati and Úbeda-Flores, Kybernetika. 45 (2009),
992–1002. In addition, a new form of Farlie-Gumbel-Morgenstern copula is obtained by applying Farlie-Gumbel-Morgenstern
copula to new mixture copula. The new form of the Farlie-Gumbel-Morgenstern copula has been compared to Farlie-GumbelMorgenstern, Gaussian and Frank copulas. To find the best-fit copula, Akaike information criterion and Bayesian information
criterion are used.