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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
This paper studies the dynamic evolution
of the lower tail dependence copula (LTDC) of Archimedean Copula. We also obtain some sufficient conditions to preserve the concordance order under LTDC transformations. Some numerical measurements such as Kendall's $tau$ and lower tail dependence coefficient of LTDC are evaluated as well.