The authors define a new semiparametric Archimedean copula family which has a flexible dependence structure. The generator of the family is a local interpolation of existing generators. It has locally-defined dependence parameters. The authors present a penalized constrained least‐squares method to estimate and smooth these parameters. They illustrate the flexibility of their dependence model in a bivariate survival example.
Vandenhende, F., & Lambert, P. (2005). Local dependence estimation using semi-parametric Archimedean copulas. The Canadian journal of statistics, 33(3), 377-388. https://doi.org/10.1002/cjs.5540330305 (Original work published 2005)