研究了形如Cθ(u,v)=uv+θu^av^b(1-u^m)^c(1-v^n)^d的一种新型广义FGM copula中参数θ的精确取值范围.所研究的copula含盖了文献中许多特殊类型的FGM copula,具有广泛的代表性.参数θ的计算方法简单易行,改进并完善了文献中相应的结论.
The exact solution about parameter θ of a new class of copulas: Cθ(u, v) = uv + θu^av^b(1 -u^m)c(1 -V^n)^d is studied in this paper. This new class of copulas which covers various types of dependence structures in documents have wide representativeness. The computational method of parameter θ is simple and practicable to improve the corresponding conclusions in documents.