Asymptotic Normality of Kernel-Type Deconvolution Estimators

Abstract.  We derive asymptotic normality of kernel-type deconvolution estimators of the density, the distribution function at a fixed point, and of the probability of an interval. We consider so-called super smooth deconvolution problems where the characteristic function of the known distribution decreases exponentially, but faster than that of the Cauchy distribution. It turns out that the limit behaviour of the pointwise estimators of the density and distribution function is relatively straightforward, while the asymptotic behaviour of the estimator of the probability of an interval depends in a complicated way on the sequence of bandwidths.     

Exploring the relationship between sexual orientation and religious identities for Jewish lesbian college students

This exploratory study examined how two Jewish lesbian college students perceived the relationship between their religious and sexual orientation identities over a five-year time span. Based on data from a constructivist, longitudinal qualitative study, these women's stories reveal possibilities and challenges associated with making sense of these two identities individually and in relationship to each other during a time of rapid identity development and changing contexts. Suggestions for educational practice are offered.