Efficient estimation of parameters in marginals in semiparametric multivariate models Preliminary and Incomplete – Please do not cite
نویسندگان
چکیده
Recent literature on semiparametric copula models focused on the situation when the marginals are specified nonparametrically and the copula function is given a parametric form. For example, this setup is used in Chen, Fan and Tsyrennikov (2006) [Efficient Estimation of Semiparametric Multivariate Copula Models, JASA] who focus on the efficient estimation of copula parameters. We consider a reverse situation when the marginals are specified parametrically and the copula function is modelled nonparametrically. We use the method of sieve for efficient estimation of the parameters in the marginals and show the asymptotic distribution. Simulations show that the sieve MLE can be up to 40% more efficient relative to QMLE depending on the strength of dependence between marginals. An application using insurance company loss and expense data demonstrates empirical relevance of our approach. JEL Classification: C13
منابع مشابه
Efficient estimation of parameters in marginals in semiparametric multivariate models∗
We consider a general multivariate model where univariate marginal distributions are known up to a common parameter vector and we are interested in estimating that vector without assuming anything about the joint distribution, except for the marginals. If we assume independence between the marginals and maximize the resulting quasilikelihood, we obtain a consistent but inefficient estimate. If ...
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