A. R. Ziaei - Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
K. Zare - Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
A. Sheikhi - Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University, Kerman, Iran

In this work, we consider the joint distribution function as well as the copula of (X+Z,Y) where the random vector (X, Y, Z)  is characterized by a copula C_{X,Y,Z}. We use this copula to analyze a Berkson measurement error model. By presenting a general form of a Berkson measurement error model with copula-dependent random variables, we investigate some of its special cases. Some theoretical results, several examples as well as a simulation study, are proposed for illustration.

Copula, noise, perturbation of copula, Measurement Error